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    Вальков, Валерий Владимирович.
    Майорановские моды в квантовых проволоках конечной длины с электронными корреляциями / В. В. Вальков, В. А. Мицкан, М. С. Шустин // Урал. междунар. зимняя шк. по физике полупроводников : 19 – 24 февраля 2018 г. : гопрограмма и тезисы докладов / чл. прогр. ком. В. В. Вальков. - 2018. - Секция 6 : Электронные свойства низкоразмерных систем. - Ст. L-53. - С. 168
   Перевод заглавия: Majorana zero modes in finite quantum wires with electronic correlations

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Держатели документа:
Институт физики им. Л.В. Киренского СО РАН

Доп.точки доступа:
Вальков, Валерий Владимирович \чл. прогр. ком.\; Val'kov, V. V.; Мицкан, Виталий Александрович; Mitskan, V. A.; Шустин, Максим Сергеевич; Shustin, M. S.; Институт физики металлов Уральского отделения РАН; Уральская международная зимняя школа по физике полупроводников(22 ; 2018 ; февр. ; Екатеринбург)
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Topological superconductivity and Majorana states in low-dimensional systems / V. V. Val'kov, M. S. Shustin, S. V. Aksenov [et al.] // Phys.-Usp. - 2022. - Vol. 65, Is. 1. - P. 2-39, DOI 10.3367/UFNe.2021.03.038950. - Cited References: 320. - This review was prepared in the framework of the Russian Foundation for Basic Research (RFBR) grant 19-12-50087. Part of the presented results were obtained in the framework of RFBR projects 19-02-00348, 20-32-70059, and 20-02-00015. S V A expresses his gratitude for support through a grant from the President of the Russian Federation, MK-1641.2020.2. A O Z and M S Sh express their gratitude to the Theoretical Physics and Math ematics Advancement Foundation “BASIS”. M Yu K thanks the Program for Basic Research of the NationalResearch University Higher School of Economics for support . - ISSN 1063-7869
Кл.слова (ненормированные):
low-dimensional system -- Majorana bound state -- spin-orbit coupling -- topological invariant -- Coulomb correlations -- noncollinear magnetism -- topological superconductivity -- quantum transport
Аннотация: We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, the criteria for the appearance of elementary Majorana-type excitations in solids, and the corresponding principles and experimental methods for identifying Majorana bound states (MBSs). Along with the well-known Kitaev chain and superconducting nanowire (SW) models with spin-orbit coupling in an external magnetic field, we discuss models of quasi-two-dimensional materials in which MBSs are realized in the presence of noncollinear spin ordering. For finite-length SWs, we demonstrate a cascade of quantum transitions occurring with a change in the magnetic field, accompanied by a change in the fermion parity of the ground state. The corresponding anomalous behavior of the magnetocaloric effect can be used as a tool for identifying MBSs. We devote considerable attention to the analysis of the transport characteristics of devices that contain topologically nontrivial materials. The results of studying the conductance of an Aharonov-Bohm ring whose arms are connected by an SW are discussed in detail. An important feature of this device is the appearance of Fano resonances in the dependence of conductance on the magnetic field when the SW is in a topologically nontrivial phase. We establish a relation between the characteristics of such resonances and the spatial structure of the lowest-energy SW state. The conditions for the occurrence of an MBS in the phase of the coexistence of chiral d+id superconductivity and 120-degree spin ordering are determined in the framework of the t-J-V model on a triangular lattice. We take electron-electron interactions into account in discussing the topological invariants of low-dimensional superconducting materials with noncollinear spin ordering. The formation of Majorana modes in regions with an odd value of a topological ℤ invariant is demonstrated. The spatial structure of these excitations in the Hubbard fermion ensemble is determined.

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Публикация на русском языке Топологическая сверхпроводимость и майорановские состояния в низкоразмерных системах [Текст] : обзор / В. В. Вальков, M. S. Shustin, S. V. Aksenov [и др.] // Успехи физ. наук. - 2022. - Т. 192 № 1. - С. 3-44

Держатели документа:
Kirensky Institute Of Physics, Federal Research Center Krasnoyarsk Scientific Center, Siberian Branch, Russian Academy Of Sciences, Krasnoyarsk, Russian Federation
National Research University Higher School of Economics, ul. Myasnitskaya 20, 101000 Moscow, Russian Federation
Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, 119334 Moscow, Russian Federation

Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Shustin, M. S.; Шустин, Максим Сергеевич; Aksenov, S. V.; Аксенов, Сергей Владимирович; Zlotnikov, A. O.; Злотников, Антон Олегович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Mitskan, V. A.; Мицкан, Виталий Александрович; Kagan, M. Yu.
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Topological phases induced by charge fluctuations in Majorana wires / M. S. Shustin, S. V. Aksenov, I. S. Burmistrov // Phys. Rev. B. - 2024. - Vol. 109, Is. 7. - Ст. 075435, DOI 10.1103/PhysRevB.109.075435. - Cited References: 71. - We thank D. M. Dzebisashvili, A. O. Zlotnikov, and, especially, Yu. G. Makhlin, for fruitful discussions. S.V.A. is grateful to Landau Institute for Theoretical Physics for hospitality. The reported study was supported by Russian Science Foundation, Project No. 22-42-04416 . - ISSN 2469-9950. - ISSN 2469-9969
Аннотация: The influence of many-body interactions on topological phases is one of the problems that still remains urgent in modern condensed-matter theory. In this study we address this issue within perturbative theory framework by considering topological phase transitions related to charge correlations in the extended Kitaev chain model that belongs to the BDI symmetry class. Obtained corrections to a zero-frequency quasiparticle Green's function allow to separate the mean-field and fluctuation contributions to a total winding number. As a result, the phase transitions caused solely by the latter are unveiled. We thoroughly analyze the mechanism of such transitions in terms of fluctuation-induced nodal points and spectrum renormalization. Additionally, features of other quasiparticle properties such as effective mass and damping are discussed in the context of topological phase transitions.

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Держатели документа:
L. D. Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
Laboratory for Condensed Matter Physics, HSE University, 101000 Moscow, Russia

Доп.точки доступа:
Shustin, M. S.; Шустин, Максим Сергеевич; Aksenov, S. V.; Аксенов, Сергей Владимирович; Burmistrov, I. S.
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Val'kov, V. V.
The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120-degree magnetic order on a triangular lattice / V. V. Val'kov, A. O. Zlotnikov, M. S. Shustin // J. Magn. Magn. Mater. - 2018. - Vol. 459. - P. 112-117, DOI 10.1016/j.jmmm.2017.11.115. - Cited References: 19. - This study was funded by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, and Krasnoyarsk Region Science and Technology Support Fund according to the research projects No. 16-02-00073-a and 16-42-243069-mol-a. A.O.Z. is grateful for the support of the Grant of the President of the Russian Federation SP-1370.2015.5. The work of M.S.S. was supported by the Grant of the President of the Russian Federation MK-1398.2017.2. . - ISSN 0304-8853
Кл.слова (ненормированные):
Majorana zero modes -- Topological invariant -- Chiral superconductivity -- Noncollinear magnetic order -- Triangular lattice
Аннотация: The Z2 topological invariant is defined in the chiral d-wave superconductor having a triangular lattice in the presence of the 120-degree magnetic ordering. Analyzing the Z2 invariant, we determine the conditions of implementing topological phases in the model with regard to superconducting pairings between the nearest and next nearest neighbors. It is often supposed in such a system that the pairing parameter between the nearest neighbors should be equal to zero due to the intersite Coulomb interaction. We show that taking into account even weak pairings in the first coordination sphere leads to the disappearance of the gapless excitations of the bulk spectrum in the wide region of the parameter space. Thus, topological invariants can be defined in this region. In solving the problem of open edges it is shown that the zero energy modes are realized basically in the topologically nontrivial phases. Such zero modes are topologically protected Majorana modes. A connection between the Z2 invariant and the integer topological invariant of the ground state of the 2D lattice is established in the presence of the electron-hole symmetry and noncollinear magnetic ordering.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Вальков, Валерий Владимирович; Moscow International Symposium on Magnetism(7 ; 2017 ; Jul. ; Moscow)
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Val'kov, V. V.
The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120 degrees magnetic order on a triangular lattice / V. V. Val'kov, A. O. Zlotnikov, M. S. Shustin. - Electronic text data // ArXiv. - 2017. - Ст. 1707.04422. - Cited References: 19. - This study was funded by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, and Kranoyarsk Region Science and Techonology Support Fund according to the research projects Nos. 16-02-00073-a (calculation of the topological invariant of a 2D lattice) and 16-42-243069-mol-a (calculation of the Z2 invariant). A.O.Z. is grateful for support of the Grant of the President of the Russian Feeration SP-1370.2015.5. The work of M.S.S. was supported by the Grant of the President of the Russian Federation MK-1398.2017.2.
Кл.слова (ненормированные):
Majorana zero modes -- topological invariant -- chiral superconductivity -- noncollinear magnetic order -- triangular lattice
Аннотация: The Z2 topological invariant is defined in the chiral d-wave superconductor having a triangular lattice in the presence of the 120 degrees magnetic ordering. By analyzing the Z2 invariant, we determine the conditions of implementing nontrivial phases in the model with regard to superconducting pairings between nearest and next nearest neighbors. It is often supposed in such system that the pairing parameter between nearest neighbors should be equal to zero due to influence of the intersite Coulomb interaction. We show that taking into account even weak pairings in the first coordination sphere leads to the disappearance of the gapless excitations of the bulk spectrum in the wide region of the parameter space. Thus topological invariants can be defined in such region. Solving the problem of open edges it is shown that the zero energy modes are realized basically in the topologically nontrivial phases. Such zero modes are topologically protected Majorana modes. A connection between the Z2 invariant calculated at the symmetric points of the Brillouin zone with respect to the electron-hole symmetry and the integer topological invariant of the ground state of the 2D lattice expressed in terms of the Green functions is established in the presence of noncollinear magnetic ordering.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Вальков, Валерий Владимирович
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Aksenov, S. V.
Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI / S. V. Aksenov, A. O. Zlotnikov, M. S. Shustin // Phys. Rev. B. - 2020. - Vol. 101, Is. 12. - Ст. 125431, DOI 10.1103/PhysRevB.101.125431. - Cited References: 60. - We acknowledge fruitful discussions with V. V. Valkov and V. A. Mitskan. The reported study was funded by the RAS Presidium programs for fundamental research Nos. 12 and 32, Russian Foundation for Basic Research (Projects No. 18-32-00443 and No. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research project: "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" (Grant No. 19-42-240011). S.V.A. and A.O.Z. are grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, Projects No. MK-1641.2020.2 and No. MK-3594.2018.2. S.V.A. acknowledges the support from the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" (Grant No. 18-46-007). . - ISSN 2469-9950. - ISSN 2469-9969

РУБ Materials Science, Multidisciplinary + Physics, Applied + Physics, Condensed Matter
Рубрики:
QUANTUM
   POLARIZATION
   TRANSITION
   FERMIONS
   SPECTRUM
   STATE
Аннотация: In this study, the problem of strong Coulomb interactions in topological superconducting wire is analyzed by means of the density-matrix-renormalization-group (DMRG) approach. To analyze properties of edge states in the BDI-class structure, a quantity called Majorana polarization is used. From its dependence on wire length and an entanglement-spectrum degeneracy, topological phase diagrams are obtained. The DMRG calculations for the Shubin-Vonsovsky-type model of the wire show the transformation of phases with Majorana single and double modes (MSMs and MDMs, respectively) under the increase of onsite and intersite correlations. In particular, we demonstrate different scenarios including the possibilities of both induction and suppression of the MSMs and MDMs. It is shown that in the strongly correlated regime, the contributions of single-particle excitations to the Majorana-type states significantly decrease at low magnetic fxields. Moreover, the t-J*-V model is derived allowing to study the effective interactions and improve the DMRG numerics. It is found out that in the limiting case of the effective Hamiltonian with infinitely strong onsite repulsion, t model, the topological phases are destroyed. Finally, the ways to probe the MSMs and MDMs via the features of caloric functions are discussed.

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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Аксенов, Сергей Владимирович; RAS Presidium programs for fundamental research [32, 12]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [18-32-00443, 19-02-00348]; Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [19-42-240011]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK-1641.2020.2, MK-3594.2018.2]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" [18-46-007]
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    Shustin, M. S.
    Stable Majorana modes in spin-polarized wire with strong interactions / M. S. Shustin // J. Supercond. Novel Magn. - 2022. - Vol. 35, Is. 8 : The Kourovka Winter School of Theoretical Physics. - P. 2209-2216, DOI 10.1007/s10948-022-06238-0. - Cited References: 42. - The study was funded by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” (Grant No. 20-1-4-25-1); Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science (Project No. 20-42-243001); and Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Grant No. MK-4687.2022.1) . - ISSN 1557-1939
   Перевод заглавия: Устойчивые майорановские моды в спин-поляризованной проволоке с сильными взаимодействиями
Кл.слова (ненормированные):
Majorana modes -- Quantum wires -- Strong electron correlations -- High spin polarization
Аннотация: For the 1D Hubbard model with spin-orbit coupling and proximity-induced s-wave superconductivity, the damping rates of quasiparticles are studied in the framework of density-matrix renormalization group (DMRG) approach. It is shown that low-energy excitations belonging to the Hubbard bands are stable against strong electron interaction at the spin-polarized regime. In order to confirm this result analytically, the low-energy model of the strongly interacting spin-polarized nanowire was derived in the second order of perturbation theory. This model generalizes Kitaev chain, taking into account the hoppings and anomalous pairings in the secondary coordination spheres as well as terms describing charge correlations. The amplitudes of the latter ones are small, and the system can be effectively described by quadratic Hamiltonian supporting stable Majorana excitations, which confirms numerical calculations. The topological phase diagram of effective model is studied in the framework of mean-field approximation. The evolution of topological phase boundaries under increasing of charge correlations is studied, and the important role of the joint realization of different types of interactions is noted. The results obtained can be applied when describing the Al-EuS-InAs hybrid system, recently synthesized and studied in searching for Majorana bound states.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Шустин, Максим Сергеевич
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Val'kov, V. V.
Spin-polarized-current switching mediated by Majorana bound states / V. V. Val'kov, S. V. Aksenov // J. Magn. Magn. Mater. - 2018. - Vol. 465. - P. 88-92, DOI 10.1016/j.jmmm.2018.04.043. - Cited References: 31. - We acknowledge fruitful discussions with A.D. Fedoseev and M.S. Shustin. The work was supported by the Comprehensive Programme SB RAS No. 0356-2015-0403 , Russian Foundation for Basic Research , Government of Krasnoyarsk Territory , Krasnoyarsk Region Science and Technology Support Fund to the research projects Nos. 16-02-00073 , 17-42-240441 . The work of S.V.A. was supported by grant of the President of the Russian Federation (MK-1398.2017.2). . - ISSN 0304-8853
Кл.слова (ненормированные):
Majorana bound states -- Topological superconductivity -- Current-switch effect
Аннотация: We present the study of transport properties of a superconducting wire with strong Rashba spin-orbit coupling for different orientations of an external magnetic field. Using the nonequilibrium Green's functions in the tight-binding approach the crucial impact of the relative alignment of lead magnetization and the Majorana bound state (MBS) spin polarization on the low-bias conductance and shot noise is presented. Depending on this factor the transport regime can effectively vary from symmetric to extremely asymmetric. In the last situation the suppression of MBS-assisted conductance results in current-switch effect allowing the electrical detection of the Majorana fermions.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Вальков, Валерий Владимирович
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Val'kov, V. V.
Spin-polarized transport through Majorana bound states in a canted magnetic field / V. V. Val'kov, S. V. Aksenov // VI Euro-Asian Symposium "Trends in MAGnetism" (EASTMAG-2016) : abstracts / ed.: O. A. Maksimova, R. D. Ivantsov. - Krasnoyarsk : KIP RAS SB, 2016. - Ст. O4.1. - P. 221. - References: 3. - This study was supported by the Comprehensive programme SB RAS no.0358-2015-0007, the Russian Foundation for Basic Research, projects nos. 15-42- . - ISBN 978-5-904603-06-9
Кл.слова (ненормированные):
semiconducting wire -- Majorana fermions -- topological superconductivity

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Вальков, Валерий Владимирович; Euro-Asian Symposium "Trends in MAGnetism"(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); "Trends in MAGnetism", Euro-Asian Symposium(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); Институт физики им. Л.В. Киренского Сибирского отделения РАН

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10.

Zlotnikov, A. O.
Spin-orbit coupling-induced effective interactions in superconducting nanowires in the strong correlation regime / A. O. Zlotnikov, S. V. Aksenov, M. S. Shustin // Phys. Solid State. - 2020. - Vol. 62, Is. 9. - P. 1612-1618, DOI 10.1134/S1063783420090371. - Cited References: 24. - This study was supported by the Russian Foundation for Basic Research, projects nos. 19-02-00348 and 20-3270059, the Government of the Krasnoyarsk Territory and the Krasnoyarsk Territorial Foundation for Support of Scientific and R&D Activity, projects nos. 19-42-240011 and 18-42240014 "Single-Orbit Effective Model of an Ensemble of Spin-Polaron Quasiparticles in the Problem of Describing the Intermediate State and Pseudogap Behavior of Cuprate Superconductors,"and the Presidium of the Russian Academy of Sciences, program I.12 "Fundamental Problems of High-Temperature Superconductivity." S.V.A. thanks the Council for Grants of the President of the Russian Federation for Governmental Support of Young Russian Scientists, project no. MK-1641.2020.2 . - ISSN 1063-7834. - ISSN 1090-6460

РУБ Physics, Condensed Matter

Кл.слова (ненормированные):
superconducting nanowire -- spin-orbit coupling -- Majorana modes -- strong electron correlations
Аннотация: In the second order of the operator form of the perturbation theory, the effective interactions in a superconducting nanowire have been obtained at the strong electron correlations, when the spin-orbit coupling parameter is comparable with the hopping integral. Using the exact diagonalization technique, in short nanowires with the open boundary conditions at the strong Coulomb repulsion, the excitations corresponding to the Majorana edge states with the energy below the value of a bulk superconducting gap have been demonstrated.

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Публикация на русском языке Злотников, Антон Олегович. Эффективные взаимодействия, индуцированные спин-орбитальной связью в сверхпроводящих нанопроволоках в режиме сильных корреляций [Текст] / A. O. Злотников, С. В. Аксенов, М. С. Шустин // Физ. тверд. тела. - 2020. - Т. 62 Вып. 9. - С. 1447-1453

Держатели документа:
Russian Acad Sci, Siberian Branch, Krasnoyarsk Sci Ctr, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Shustin, M. S.; Шустин, Максим Сергеевич; Злотников, Антон Олегович; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348, 20-3270059]; Krasnoyarsk Territorial Foundation [19-42-240011, 18-42240014]; Government of the Krasnoyarsk Territory; Presidium of the Russian Academy of SciencesRussian Academy of Sciences [I.12]; Council for Grants of the President of the Russian Federation [MK-1641.2020.2]
}
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11.

Fedoseev, A. D.
Realization conditions and the magnetic field dependence of corner excitations in the topological insulator with superconducting coupling on the triangular lattice / A. D. Fedoseev // J. Exp. Theor. Phys. - 2021. - Vol. 133, Is. 1. - P. 71-76, DOI 10.1134/S1063776121060029. - Cited References: 38. - This work was supported by the Russian Foundation for Basic Research (project no. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: "Study of edge states in oneand two-dimensional topological superconductors" (no. 20-42-243005), "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" (no. 19-42-240011), and Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Project MK1641.2020.2) . - ISSN 1063-7761. - ISSN 1090-6509

РУБ Physics, Multidisciplinary
Рубрики:
EDGE
STATES
ORDER
Аннотация: The studies of the topological properties of systems have recently been extended due to a new concept of higher-order topological insulators and superconductors. Many models were proposed for two-dimensional systems on a square lattice, where corner excitations can appear; however, the problem of existence of such excitations in superconducting systems with a triangular crystal lattice is still poorly understood. Using a topological insulator in the form of a triangle with a chiral superconducting order parameter as an example, we shows that corner excitations can exist in C3-symmetric systems. In spite of a nontopological character, these excitations have energies inside the gap of the first-order edge excitation spectrum over a wide parameter range and are well localized at the corners of the system. Gapless corner excitations are shown to exist in the system at certain parameters. The application of a magnetic field in the system plane removes the triple degeneracy of the corner excitation energy and makes it possible to control the position of the minimum-energy corner excitation using a magnetic field. At the same time the fine adjustment to achieve the gapless excitations at the chosen corner can be made with changing of the magnetic field value.

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Публикация на русском языке Федосеев, Александр Дмитриевич. Условия реализации и магнитополевая зависимость угловых возбуждений в топологическом изоляторе со сверхпроводящим спариванием на треугольной решетке [Текст] / А. Д. Федосеев // Журн. эксперим. и теор. физ. - 2021. - Т. 160 Вып. 1. - С. 88-94

Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Федосеев, Александр Дмитриевич; Russian Foundation for Basic Research, Government of Krasnoyarsk Territory [19-02-00348]; Krasnoyarsk Regional Fund of Science [20-42-243005]; "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" [19-42-240011]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK1641.2020.2]
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12.

Quantum phase transitions and superconductivity in single- and two-layer cuprates in the multiband theory of Hubbard fermions / S. G. Ovchinnikov [et al.] // International conferences «Phase separation and Superstripes in High Temperature Superconductors and Related Materials (Superstripes-2012)». - 2012. - P. 128
Аннотация: We consider the doping dependence of the normal and superconducting properties of LaSrCuO and YBaCuO in the low energy effective model based on the ab initio LDA+GTB calculations. With doping we have found a concentration region with electronic instability of the uniform state. We have shown that two quantum phase transitions (QPT) of the Lifshitz type correspond well to the experimental phase diagram. For superconducting state we have considered both magnetic and phonon mechanisms of pairing.

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Ovchinnikov, S. G.; Овчинников, Сергей Геннадьевич; Korshunov, M. M.; Коршунов, Максим Михайлович; Nikolaev, S. N.; Shneyder, E. I.; Шнейдер, Елена Игоревна; Ettore Majorana Foundation, Centre for Scientific Culture; Rome International Center for Materials Science; International School of Solid State Physics; "Phase separation and Superstripes in High Temperature Superconductors and Related Materials", Int. Conf. (55 ; 2012 ; July ; 11-17 ; Erice (Sicily), Italy)
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13.

Aksenov, S. V.
Probing Majorana bound states through an inhomogeneous Andreev double dot interferometer / S. V. Aksenov // Phys. Rev. B. - 2023. - Vol. 107, Is. 8. - Ст. 085417, DOI 10.1103/PhysRevB.107.085417. - Cited References: 60. - We thank A. D. Fedoseev and M. S. Shustin for fruitful discussions. The study was supported by Russian Science Foundation, Project No. 19-12-00167 . - ISSN 2469-9950. - ISSN 2469-9969
Аннотация: In modern experiments with hybrid superconducting (SC)/semiconducting nanowires the presence of zero-energy Andreev bound states (ABSs), characterized by a partial overlap of the Majorana wave functions, is a common problem that significantly complicates the detection of a genuine Majorana bound state (MBS). In this article, taking into account spatial inhomogeneity of experimentally investigated nanowire samples, we study interference transport features of a curved heterostructure in which two normal wires (or arms) are separated by a superconducting wire. Since Andreev reflection on the two N/S interfaces with smoothly changing electrostatic and SC pairing potentials results in the emergence of bound states, the low-energy interference transport is described in the framework of the model of two noninteracting Andreev levels or the Andreev double quantum dot. A set of limiting cases is analyzed allowing us to highlight the interference properties that are unique for the different types of ABSs, such as bulk ABS, inhomogeneous ABS, and MBS. In particular, considerable attention is paid to the features of the Aharonov-Bohm (AB) effect. It is shown that the response of each state can be recognized analyzing both AB period and extrema positions of the conductance oscillations which take place without any fine-tuning of the system parameters.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia

Доп.точки доступа:
Аксенов, Сергей Владимирович
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14.

On the Dirac mass of Hubbard fermions in strongly correlated higher-order topological superconductor / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // Phys. Solid State. - 2023. - Vol. 65, Is. 7. - P1063-1070, DOI 10.61011/PSS.2023.07.56391.31H. - Cited References: 28. - The study was supported by the Russian Science Foundation (project No. 22-22-20076), and Krasnoyarsk Regional Fund of Science . - ISSN 1063-7834. - ISSN 1090-6460
Кл.слова (ненормированные):
topological phases -- Dirac fermions -- Coulomb interaction -- strong correlations -- Majorana modes
Аннотация: Majorana corner modes have a number of advantages over the conventional Majorana states in terms of performing topologically protected quantum computations. However, the problem of the influence of Coulomb repulsion on higher-order phases, which inevitably arises when trying to implement such systems in practice, has been poorly studied. In this article, we analyze the features of a topological invariant describing the nontrivial phase with the corner modes for a two-dimensional two-orbital model of a hybrid structure in the regime of extremely strong electron correlations. For this purpose, approximate wave functions of the edge states with a linear dispersion law and the associated Dirac masses, which arise when superconducting pairing in the system is taken into account, are obtained.

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Публикация на русском языке О дираковской массе хаббардовских фермионов в сильно коррелированном топологическом сверхпроводнике высокого порядка [Текст] / С. В. Аксенов, А. Д. Федосеев, М. С. Шустин, А. О. Злотников. - 9 с. // Физ. твердого тела. - 2023. - Т. 65 Вып. 7. - С. 1109-1117

Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB, Russian Academy of Sciences, Krasnoyarsk, Russia

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Шустин, Максим Сергеевич; Zlotnikov, A. O.; Злотников, Антон Олегович; Nanophysics and Nanoelectronics, International Symposium(XXVII ; 13-16 March 2023 ; Nizhny Novgorod, Russia)
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15.

    Occurrence of Topologically Nontrivial Phases, Cascade of Quantum Transitions, and Identification of Majorana Modes in Chiral Superconductors and Nanowires (Scientific Summary) / V. V. Val'kov [et al.] // JETP Letters. - 2019. - Vol. 110, Is. 2. - P. 140-153, DOI 10.1134/S002136401914011X. - Cited References: 88. - This work was supported by the Russian Foundation for Basic Research (project nos. 16-02-00073, 18-32-00443, 19-02-00348) and jointly by the Government of the Krasnoyarsk Territory, the Krasnoyarsk Regional Fund of Science (project no. 18-42-243017, "Manifestation of Coulomb Interactions and Effects of Bounded Geometry in the Properties of Topological Edge States of Nanostructures with Spin-Orbit Interaction"; project no. 18-42-243018, "Contact Phenomena and Magnetic Disorder in the Problem of the Formation and Detection of Topologically Protected Edge States in Semiconductor Nanostructures"; and project no. 18-42-240014, "Single-Orbit Effective Model of an Ensemble of Spin-Polaron Quasiparticles in the Problem of Describing the Intermediate State and Pseudogap Behavior of Cuprate Superconductors"). S.V. Aksenov and A. O. Zlotnikov acknowledge the support of the Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific Schools (project nos. MK-3722.2018.2 and MK-3594.2018.2). . - ISSN 0021-3640. - ISSN 1090-6487
Рубрики:
HUBBARD FERMIONS
   BOUND-STATE
   SPIN
   POLARIZATION
   COEXISTENCE
Аннотация: The problems of occurrence and experimental identification of topologically nontrivial phases in condensed matter have been reviewed. The results of the study of the effect of strong intra- and interatomic Coulomb interaction on a quantum phase transition with change in the topological index in an ensemble of Hubbard fermions on a triangular lattice have been reported. Nontrivial topology of the phase of coexistence of d + id chiral superconductivity and 120° spin ordering in a system with the triangular lattice has been discussed and the formation of Majorana modes in such a phase has been demonstrated. A cascade of quantum transitions that occurs at the variation of the magnetic field or the electrochemical potential has been analyzed for an open nanowire with the Rashba spin-orbit coupling and the induced superconducting pairing potential. It has been shown that anomalies of magneto- and electrocaloric effects are manifested near such quantum transitions and can be used to experimentally test materials on the existence of topologically nontrivial phases in them. The switching of the spin-polarized current in the topological superconducting phase has been predicted for a semimetal/superconducting wire/semimetal structure in the weak nonequilibrium regime.

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Держатели документа:
Russian Acad Sci, Siberian Branch, Kirensky Inst Phys, Fed Res Ctr KSC, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Mitskan, V. A.; Мицкан, Виталий Александрович; Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Aksenov, S. V.; Аксенов, Сергей Владимирович; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [16-02-00073, 18-32-00443, 19-02-00348]; Government of the Krasnoyarsk Territory; Krasnoyarsk Regional Fund of Science [18-42-243017, 18-42-243018, 18-42-240014]; Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK-3722.2018.2, MK-3594.2018.2]
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16.

Multiband model for the dynamical conductivity of superconducting pnictides manifestation of impurity induced s±às++ transition / D. V. Efremov [et al.] // International conferences «Phase separation and Superstripes in High Temperature Superconductors and Related Materials (Superstripes-2012)». - 2012. - P. 127
Аннотация: The multiband (4 x4 bands) model and its reduction to the effective two-band model taking into account the strong interaction with intermediate spin-fluctuations have been successively applied to the description of the properties of Ba1-xKxFeAs2. On the base of this approach and using the extension of the formalism developed for the multiband system MgB2 we have calculated free energy and frequency dependent optical complex conductivity \ sigma ( \omega ,T) in the superconducting as well as the normal states of pnictides. An application of the presented approach to the ellipsometry data for single crystals of Ba1-xKxFeAs2 allows to describe some experimental features connected to multigap nature and strong coupling effects. Effects of rather strong nonmagnetic impurities beyond the Born approximation which can lead to the transitions in the superconducting order parameter S+- - S++ were investigated.

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Доп.точки доступа:
Efremov, D. V.; Korshunov, M. M.; Коршунов, Максим Михайлович; Golubov, A. A.; Dolgov, O. V.; Ettore Majorana Foundation, Centre for Scientific Culture; Rome International Center for Materials Science; International School of Solid State Physics; "Phase separation and Superstripes in High Temperature Superconductors and Related Materials", Int. Conf. (55 ; 2012 ; July ; 11-17 ; Erice (Sicily), Italy)
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17.

Aksenov, S. V.
Manifestation of Majorana modes overlap in the Aharonov-Bohm effect / S. V. Aksenov // J. Phys. Condens. Matter. - 2022. - Vol. 34, Is. 25. - Ст. 255301, DOI 10.1088/1361-648X/ac62a7. - Cited References: 52. - We acknowledge fruitful discussions with A D Fedoseev and M S Shustin. The reported study was funded by Russian Foundation for Basic Research (Project No. 20-02-00015), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research project ‘Study of edge states in one- and two-dimensional topological superconductors’ (No. 20-42-243005) . - ISSN 1361-648X
Кл.слова (ненормированные):
Aharonov–Bohm effect -- spin–orbit interaction -- topological superconductivity -- Majorana bound state -- Majorana mode -- quantum dot -- Kitaev chain
Аннотация: One of the key features of the Majorana bound states emerging in topological superconducting (SC) wires is increasing oscillations of their energy under the growth of magnetic field or chemical potential due to concomitant enhancement of hybridization of the Majorana mode wave functions initially localized at the opposite edges of the structure. In this study we found that the other consequence of it is a shift of Aharonov–Bohm (AB) oscillations of linear-response conductance in an interference device where two ends of the SC wire connected with a normal contact via non-SC wires (arms). In addition, it is accompanied by an oscillation period doubling. The numerical calculations for the spinful system are supported by the analytical results for different spinless models allowing to track the conductance evolution as the hybridization of the Majorana modes increases. It is shown that since the coupling between the different arms and normal contact is implemented only via the different-type Majoranas the AB oscillations acquire a fundamental π/2 shift in comparison with the effect for an analogous system of zero-energy quantum dots.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Akademgorodok street 50/38, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Аксенов, Сергей Владимирович
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18.

    Majorana zero modes in the coexistence phase of chiral superconductivity and 120°-type magnetic order on the triangular lattice / V. V. Val'kov [et al.] // J. Magn. Magn. Mater. - 2017. - Vol. 440. - P. 37-40, DOI 10.1016/j.jmmm.2016.12.093. - Cited References: 15. - This study was funded by RFBR according to the research projects Nos. 16-02-00073-a, 16-42-243069-r-mol-a (partly with Government of Krasnoyarsk Territory). A.O.Z. is grateful for support of the Grant of the President of the Russian Federation SP-1370.2015.5. . - ISSN 0304-8853
   Перевод заглавия: Майорановские нулевые моды в фазе сосуществования сверхпроводимости и 120-градусного магнитного порядка на треугольной решетке

РУБ Materials Science, Multidisciplinary + Physics, Condensed Matter
Рубрики:
HUBBARD FERMIONS
   BREAKING
   ENSEMBLE
   STATES
Кл.слова (ненормированные):
Majorana zero modes -- Chiral superconductivity -- Noncollinear magnetic order -- Triangular lattice
Аннотация: We discuss the conditions under which Majorana zero modes can be implemented in the coexistence phase of chiral superconductivity and 120°-type noncollinear spin structure on the triangular lattice. It is shown that the gapless elementary excitations exist on the finite region in the parameter space consisting of the effective exchange field, the chemical potential, and the superconducting order parameter. The range of parameters supporting Majorana edge states with exactly zero excitation energy has also been found.
Обсуждаются условия, при которых в фазе сосуществования киральной сверхпроводимости и неколлинеарной 120-градусной спиновой структуры на треугольной решетке могут реализоваться майорановские нулевые моды. Показано, что бесщелевые элементарные возбуждения существуют в конечной области параметрического пространства, определяемого эффективным обменным полем, химическим потенциалом и сверхпроводящим параметром порядка. Набор параметров, формирующий майорановские краевые состояния со строго равной нулю энергией возбуждения, также был найден.

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Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Zlotnikov, A. O.; Злотников, Антон Олегович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Шустин, Максим Сергеевич; Euro-Asian Symposium "Trends in MAGnetism"(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); "Trends in MAGnetism", Euro-Asian Symposium(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); Институт физики им. Л.В. Киренского Сибирского отделения РАН
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19.

Zlotnikov, A. O.
Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study / A. O. Zlotnikov // Phys. Rev. B. - 2023. - Vol. 107, Is. 14. - Ст. 144513, DOI 10.1103/PhysRevB.107.144513. - Cited References: 71. - I am grateful for fruitful discussions with participants of the seminar of Laboratory of Theoretical Physics in Kirensky Institute of Physics, especially with V. V. Val'kov, S. V. Aksenov, A. D. Fedoseev, and M. S. Shustin. The reported study was funded by the Theoretical Physics and Mathematics Advancement Foundation “BASIS” . - ISSN 2469-9950. - ISSN 2469-9969
Аннотация: In this study, topologically nontrivial edge and vortex bound states are described in the coexistence phase of chiral spin-singlet superconductivity and noncollinear spin ordering on a triangular lattice in the presence of few (up to four) vortices. We consider the topological phase transition induced by the magnetic order between the phase hosting Majorana modes and the initial phase of the chiral d-wave superconductivity supporting non-Majorana modes which is also topologically nontrivial. The change of the excitation spectrum at the critical point is obtained in both cases of open and periodic boundary conditions in the presence of vortices. It is proved that zero-energy Majorana modes localized at vortex cores are caused by noncollinear long-range magnetic ordering. Even though nearby excitation energies of subgap states including the edge-localized and vortex-localized states are very close to each other, the energy difference between different vortex bound states is an order of magnitude higher. This difference determines the energy gap for Majorana vortex modes separating them from other vortex bound states. It is found that even in the presence of noncollinear spin ordering its value can be estimated from the excitation energy of vortex bound states in the pure chiral d-wave state for the nonmagnetic case. By studying local density of states near the vortex cores the possibility to experimentally detect the described Majorana vortex modes by scanning tunneling microscopy is discussed. It is demonstrated that Majorana vortex modes and Majorana antivortex modes induced by noncollinear magnetism have different features in energy and spatially resolved density of states due to the chiral symmetry on the superconducting order parameter.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia

Доп.точки доступа:
Злотников, Антон Олегович
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20.

Zlotnikov, A. O.
Majorana vortex modes in magnet-superconductor hybrids with a triangular lattice: local density of states study / A. O. Zlotnikov // 8th International conference on supercondactivity and magnetism (ICSM2023) : abstract book. - 2023. - P. 177. - Cited References: 6

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Держатели документа:
Kirensky Institute of Physics, FRC KSC SB RAS

Доп.точки доступа:
Злотников, Антон Олегович; International Conference on Supercondactivity and Magnetism(8 ; 2023 ; May 4-11 ; Ölüdeniz-Fethiye, Turkey)
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