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    A set of Majorana zero modes on the triangular lattice in the coexistence phase of superconductivity and noncollinear magnetic order / V. V. Val'kov [et al.] // The 15th Days of the Condensed Matter (JMC'15) : abstracts. - 2016. - P. 45. - References: 4. - This study was funded by RFBR in part according to the research project No. 16-02-00073-a. A.O.Z. is grateful for support of the Grant of the President of the Russian Federation SP-1370.2015.5
   Перевод заглавия: Набор майорановских нулевых мод на треугольной решетке в фазе сосуществования сверхпроводимости и неколлинеарного магнитного порядка

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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.; Days of the Condensed Matter University of Bordeaux(15 ; 22-26 Aug. 2016 ; Bordeaux, France); Journées de la matiére condensée(15 ; 2016 ; Aug. ; 22-26 ; Bordeaux, France)
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Zlotnikov, A. O.
Aspects of topological superconductivity in 2D systems: Noncollinear magnetism, skyrmions, and higher-order topology / A. O. Zlotnikov, M. S. Shustin, A. D. Fedoseev // J. Supercond. Nov. Magn. - 2021. - Vol. 34, Is. 12. - P. 3053-3088, DOI 10.1007/s10948-021-06029-z. - Cited References: 230. - The study was funded by the Russian Foundation for Basic Research (Project No. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science (Grants No. 19-42240011, 20-42-243001). A.O.Z. and M.S.S. are grateful to the support of the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" . - ISSN 1557-1939. - ISSN 1557-1947

РУБ Physics, Applied + Physics, Condensed Matter
Рубрики:
D-WAVE SUPERCONDUCTIVITY
NON-ABELIAN STATISTICS
CHIRAL SUPERCONDUCTIVITY
Кл.слова (ненормированные):
Topological superconductivity -- Majorana fermions -- Noncollinear magnetism -- Magnetic skyrmion -- Higher-order topology
Аннотация: The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range noncollinear spin ordering or magnetic skyrmions. Another purpose is to give a brief introduction to the new concept of topological superconductivity, i.e. higher-order topology in two-dimensional systems including spin-orbit coupled structures. The formation of Majorana modes due to magnetic textures is discussed. The role of effective triplet pairings and odd fermion parity of the ground state wave function in different systems is emphasized. We describe the peculiarities of the magnetic skyrmions, leading to the formation of the Majorana modes and defects on which the modes are localized. The problem of braiding in the two-dimensional systems, especially in higher-order topological superconductors, is considered.

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

Доп.точки доступа:
Shustin, M. S.; Шустин, Максим Сергеевич; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Злотников, Антон Олегович; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348]; Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [19-42240011, 20-42-243001]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS"
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    Val'kov, V. V.
    Cascade of quantum transitions and magnetocaloric anomalies in an open nanowire / V. V. Val'kov, V. A. Mitskan, M. S. Shustin // JETP Letters. - 2017. - Vol. 106, Is. 12. - P. 798-804, DOI 10.1134/S0021364017240134. - Cited References:32. - We are grateful to A.D. Fedoseev and A.O. Zlotnikov for the useful comments and discussions of the results. This work was supported jointly by the Russian Foundation for Basic Research, the Government of the Krasnoyarsk Territory, and the Krasnoyarsk Territorial Foundation for the Support of R&D Activities (project nos. 16-42-243056r, 16-42-243057, and 17-42-240441), as well as by the Russian Foundation for Basic Research (project no. 16-02-00073). . - ISSN 0021-3640. - ISSN 1090-6487
Рубрики:
MAJORANA FERMIONS
   ZERO MODES
   SUPERCONDUCTOR
Аннотация: A sequence of magnetocaloric anomalies occurring with the change in a magnetic field H is predicted for an open nanowire with the Rashba spin–orbit coupling and the induced superconducting pairing potential. The nature of such anomalies is due to the cascade of quantum transitions related to the successive changes in the fermion parity of the nanowire ground state with the growth of the magnetic field. It is shown that the critical Hc values fall within the parameter range corresponding to the nontrivial values of the Z2 topological invariant of the corresponding 1D band Hamiltonian characteristic of the D symmetry class. It is demonstrated that such features in the behavior of the open nanowire are retained even in the presence of Coulomb interactions.

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Публикация на русском языке Вальков, Валерий Владимирович. Каскад квантовых переходов и магнетокалорические аномалии в открытой нанопроволоке [Текст] / В. В. Вальков, В. А. Мицкан, М. С. Шустин // Письма в Журн. эксперим. и теор. физ. - 2017. - Т. 106 Вып. 12. - С. 762-768

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

Доп.точки доступа:
Mitskan, V. A.; Мицкан, Виталий Александрович; Shustin, M. S.; Шустин, Максим Сергеевич; Вальков, Валерий Владимирович; Russian Foundation for Basic Research; Krasnoyarsk Territorial Foundation of RD Activities [16-42-243056r, 16-42-243057, 17-42-240441]; Russian Foundation for Basic Research [16-02-00073]; Government of the Krasnoyarsk Territory
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    Aksenov, S. V.
    Collapse of the Fano resonance caused by the nonlocality of the majorana state / S. V. Aksenov, M. Y. Kagan // JETP Letters. - 2020. - Vol. 111, Is. 5. - P. 286-292, DOI 10.1134/S0021364020050057. - Cited References: 37. - The work was supported by the Presidium of the Russian Academy of Sciences (Program of Basic Research no. 32 "Nanostructures: Physics, Chemistry, Biology, and Fundamentals of Technologies"), by the Russian Foundation for Basic Research (project nos. 19-02-00348, 20-32-70059, and 20-02-00015), and by the Government of the Krasnoyarsk Territory together with the Krasnoyarsk Science Foundation (project no. 19-42-240011 "Coulomb Interactions in the Problem of Majorana Modes in Low-Dimensional Systems with Nontrivial Topology"). S.V. Aksenov acknowledges the support of the Council of the President of the Russian Federation for Support of Young Russian Scientists and Leading Scientific Schools, grant no. MK3722.2018.2. M.Yu. Kagan acknowledges the support of the National Research University Higher School of Economics (program of basic research). . - ISSN 0021-3640. - ISSN 1090-6487
Рубрики:
BOUND-STATES
   QUANTUM TRANSITIONS
   TRANSMISSION
   CONTINUUM
   CASCADE
Аннотация: Owing to the nonlocal character of the Majorana state, the corresponding excitations are of great interest. It is demonstrated that the direct consequence of such nonlocality is the collapse of the Fano resonance manifesting itself in the conductance of an asymmetric interference device, the arms of which are connected by a one-dimensional topological superconductor. In the framework of the spinless model, it is shown that the predicted effect is associated with an increase in the multiplicity of the degeneracy of the zero-energy state of the structure arising at the critical point of the Kitaev model. Such an increase leads to the formation of a bound state in the continuum.

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Публикация на русском языке Аксенов, Сергей Владимирович. Коллапс резонанса Фано вследствие нелокальности майорановского состояния [Текст] / С. В. Аксенов, М. Ю. Каган // Письма в ЖЭТФ. - 2020. - Т. 111 Вып. 5. - С. 321-327

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Fed Res Ctr KSC, Siberian Branch, Krasnoyarsk 660036, Russia.
Natl Res Univ Higher Sch Econom, Moscow 101000, Russia.
Russian Acad Sci, Kapitza Inst Phys Problems, Moscow 119334, Russia.

Доп.точки доступа:
Kagan, M. Yu.; Аксенов, Сергей Владимирович; Presidium of the Russian Academy of SciencesRussian Academy of Sciences [32]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348, 20-32-70059, 20-02-00015]; Krasnoyarsk Science Foundation [19-42-240011]; Government of the Krasnoyarsk Territory; Council of the President of the Russian Federation for Support of Young Russian Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK3722.2018.2]; National Research University Higher School of Economics
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    Fedoseev, A. D.
    Corner excitations in the 2D triangle-shaped topological insulator with chiral superconductivity on the triangular lattice / A. D. Fedoseev // J. Phys.: Condens. Matter. - 2020. - Vol. 32, Is. 40. - Ст. 405302, DOI 10.1088/1361-648X/ab9e2f. - Cited References: 49. - The author thanks D M Dzebisashvili, M S Shustin, V A Mitskan and M M Korovushkin for the fruitful discussions and valuable remarks. The reported study was funded by the Russian Foundation for Basic Research (Projects Nos. 19-02-00348, 19-42-240011) and the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Project MK-1641.2020.2) . - ISSN 0953-8984
   Перевод заглавия: Угловые возбуждения в двумерном топологическом изоляторе в форме треугольника с киральной сверхпроводимостью на треугольной решетке
Кл.слова (ненормированные):
Electric insulators -- Topology -- Edge spectra -- Energy value -- First order -- Majorana -- Parameter spaces -- Triangular lattice -- Weak disorder -- Topological insulators
Аннотация: The 2D triangle-shaped C 3-symmetric topological insulator with the chiral superconducting coupling on the triangular lattice is investigated. While such a system cannot provide the topologically protected corner excitations, we report the presence of the nontopological corner excitations with energy value to lie in the first-order edge spectrum gap. Though these excitations are not topologically protected, they appear for a rather wide range of the parameters values and are robust against the boundary defects and weak disorder. We reveal the presence of the Majorana corner states, which appear along the line in the parameter space.

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

Доп.точки доступа:
Федосеев, Александр Дмитриевич
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Edge states and Majorana modes in condensed matter / V. V. Val'kov [et al.] // VI Euro-Asian Symposium "Trends in MAGnetism" (EASTMAG-2016) : abstracts / ed.: O. A. Maksimova, R. D. Ivantsov. - Krasnoyarsk : KIP RAS SB, 2016. - Ст. I1.14. - P. 31. - References: 3 . - ISBN 978-5-904603-06-9
Кл.слова (ненормированные):
majorana fermions -- edge states -- triangular lattice -- honeycomb lattice -- electronic transport

Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Aksenov, S. V.; Аксенов, Сергей Владимирович; Zlotnikov, A. O.; Злотников, Антон Олегович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; 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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Effect of local coulomb interaction on majorana corner modes / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // 8th International conference on supercondactivity and magnetism (ICSM2023) : abstract book. - 2023. - P. 454. - Cited References: 4. - РНФ № 22-22-20076

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

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; International Conference on Supercondactivity and Magnetism(8 ; 2023 ; May 4-11 ; Ölüdeniz-Fethiye, Turkey)
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Effect of local Coulomb interaction on Majorana corner modes: Weak and strong correlation limits / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // Phys. Rev. B. - 2023. - Vol. 107, Is. 12. - Ст. 125401, DOI 10.1103/PhysRevB.107.125401. - Cited References: 63. - We acknowledge fruitful discussions with D. M. Dzebisashvili and V. A. Mitskan. The reported study was supported by Russian Science Foundation Project No. 22-22-20076, and Krasnoyarsk Regional Fund of Science . - ISSN 2469-9950. - ISSN 2469-9969
Аннотация: Here we present an analysis of the evolution of Majorana corner modes realizing in a two-dimensional higher-order topological superconductor (HOTSC) on a square lattice under the influence of local Coulomb repulsion. Both weak- and strong-interaction regimes are studied. It is shown that in the homogeneous system, the weak repulsion widens the region of the topologically nontrivial phase on the phase diagram. The open-boundary effect, resulting in spatial inhomogeneity of the system, leads to the appearance of the ground-state crossover as the repulsion intensity increases. Before the crossover, concentration correlators are C4 symmetric and spin independent, and the corner states have energies that are determined by the overlap of the excitation wave functions localized at the different corners. After the crossover, the concentration correlators are spin dependent and possess the spontaneously broken symmetry. In turn, the corner excitation energy is size independent and defined by the Coulomb repulsion intensity with a quadratic law. In the strong-repulsion regime we derive the effective HOTSC Hamiltonian in the atomic representation and found a rich variety of interactions induced by virtual processes between the lower and upper Hubbard subbands. It is shown that Majorana corner modes still can be realized in the limit of the infinite repulsion, although the boundaries of the topologically nontrivial phase are strongly renormalized by Hubbard corrections.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 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
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Val'kov, V. V.
Effect of magnetic field orientation and disorder on Majorana polarization in wires with topological superconductivity / V. V. Val'kov, S. V. Aksenov // Low Temp. Phys. - 2017. - Vol. 43, Is. 4. - P. 437-441, DOI 10.1063/1.4983331. - Cited References: 20. - This work was supported by the Complex program of the Siberian Branch of the Russian Academy of Sciences Grant No. 0358-2015-0007, the Russian Foundation for Basic Research, the government of Krasnoyarsk region, and the Krasnoyarsk region foundation for support of scientific and technical activity (Grant Nos. 15-42-04372, 16-02-00073, and 16-42-242036). . - ISSN 1063-777X
Аннотация: Majorana polarization, previously introduced by Sticlet et al. [Phys. Rev. Lett. 108, 096802 (2012)], is studied for wires in a topological superconductive state with varying orientation of the magnetic field. Numerical calculations show that in the case of a canted field, this polarization can differ in sign, as well as absolute magnitude, at the opposite ends of a wire. Since the Majorana polarization changes sign at one end when the orientation of the magnetic field is changed from perpendicular to longitudinal, there is always a range of angles for which this quantity is significantly suppressed or equals zero. Thus, the Majorana polarization does not always appear as a local order parameter for an arbitrary angle of the magnetic field in the plane perpendicular to the effective Rashba spin-orbital interaction field. It is shown that the introduction of disorder does not lead to qualitatively new effects. At the same time, additional regions with weak Majorana polarization do show up in high magnetic fields. © 2017 Author(s).

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Публикация на русском языке Вальков, Валерий Владимирович. Влияние ориентации магнитного поля и беспорядка на майорановскую поляризацию в проволоках с топологической сверхпроводимостью [Текст] / В. В. Вальков, С. В. Аксенов // Физ. низких температур : Физико-технический институт низких температур им. Б. И. Веркина НАН Украины, 2017. - Т. 43 Вып. 4. - С. 546-551

Держатели документа:
L. V. Kirenskii Institute of Physics, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Вальков, Валерий Владимирович
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10.

Shustin, M. S.
Effect of strong intersite Coulomb interaction on the topological properties of a superconducting nanowire / M. S. Shustin, S. V. Aksenov // Phys. Solid State. - 2022. - Vol. 64, Is. 13. - P. 2047-2053, DOI 10.21883/PSS.2022.13.53972.23s. - Cited References: 55. - This study was supported by the Russian Foundation for Basic Research, the Government of the Krasnoyarsk Territory and the Krasnoyarsk Regional Fund of Science, projects nos. 20-42-243001 and 20-42-243005. M.S.S. thanks the Foundation for the Advancement of Theoretical Physics and Mathematics ”BASIS“. S.V.A. is grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, project No. MK-1641.2020.2 . - ISSN 1063-7834. - ISSN 1090-6460
Кл.слова (ненормированные):
superconducting nanowires -- Majorana zero modes -- strong electron correlations
Аннотация: For superconducting nanowire with the pairing of extended s-type symmetry, Rashba spin-orbit interaction in a magnetic field, the influence of strong intersite charge correlations on single-particle Majorana excitations is analyzed. This problem is investigated on the basis of the density matrix renormalization group numerical method. It is shown that with an increase in the repulsion intensity of electrons located at the neighboring sites, two subbands emerge in the lower Hubbard band of the open system. Based on calculations of the Majorana polarization and degeneracy of the entanglement spectrum, it was found that a topologically nontrivial phase with one edge state survives at the edge of each of the subbands where the concentration of electrons or holes is minimal.

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Публикация на русском языке Шустин, Максим Сергеевич. Влияние сильного межузельного кулоновского взаимодействия на топологические свойства сверхпроводящей нанопроволоки [Текст] / М. С. Шустин, С. В. Аксенов // Физ. тверд. тела. - 2021. - Т. 63 Вып. 11. - С. 1758-1765

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; Шустин, Максим Сергеевич
}
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11.

    Val'kov, V. V.
    Electronic spin polarization in the Majorana bound state in one-dimensional wires / V. V. Val'kov, S. V. Aksenov // J. Magn. Magn. Mater. - 2017. - Vol. 440. - P. 112-115, DOI 10.1016/j.jmmm.2016.10.155. - Cited References: 22. - This work was financially supported by the Comprehensive programme SB RAS no. 0358-2015-0007, and the RFBR, projects nos. 15-42-04372, 16-02-00073, 16-42-242036 and partly by Government of Krasnoyarsk Region. . - ISSN 0304-8853
   Перевод заглавия: Электронная спиновая поляризация в майорановском связанном состоянии в одномерных проволоках

РУБ Materials Science, Multidisciplinary + Physics, Condensed Matter
Рубрики:
NON-ABELIAN STATISTICS
FERMIONS
Кл.слова (ненормированные):
Majorana bound state -- Topological superconductivity -- Spin polarization
Аннотация: We have studied the effect of magnetic field and disorder on the electronic z-spin polarization at the ends of the one-dimensional wire with strong Rashba spin-orbit coupling deposited on an s-wave superconductor. It was shown that in the topologically nontrivial phase the polarization as well as the energy of the Majorana bound state oscillate as a function of the magnetic field. Despite being substantially nonzero in the low transversal and longitudinal fields the polarization at one of the wire's ends is significantly suppressed at a certain range of the magnitudes and angles of the canted magnetic field. Thus, in this case the polarization cannot be regarded as a local order parameter. However, the sum of the absolute values of the polarization at both ends remains significantly nonzero. It was demonstrated that Anderson disorder doesn't seriously affect observed properties but leads to the appearance of the additional areas with weak spin polarization at the high magnetic fields.

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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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12.

Korshunov, M. M.
Evolution of the Superconducting State of Fe-Based Compounds with Doping, Interactions, and Disorder / M. M. Korshunov // International conferences «Phase separation and Superstripes in High Temperature Superconductors and Related Materials (Superstripes-2012)». - 2012. - P. 39
Аннотация: We introduce an effective low-energy pairing model for Fe-based superconductors with s- and d-wave interaction components and a small number of input parameters and use it to study the doping evolution of the symmetry and the structure of the superconducting gap. We argue that the model describes the entire variety of pairing states found so far in the Fe-based superconductors and allows one to understand the mechanism of the attraction in s(±) and d(x(2)-y(2)) channels, the competition between s- and d-wave solutions, and the origin of superconductivity in heavily doped systems, when only electron or only hole pockets are present.

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Доп.точки доступа:
Коршунов, Максим Михайлович; Ettore Majorana Foundation, Centre for Scientific CultureRome 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.

Val'kov, V. V.
Fano effect in Aharonov-Bohm ring with topologically superconducting bridge / V. V. Val'kov, M. Y. Kagan, S. V. Aksenov // J. Phys.: Condens. Matter. - 2019. - Vol. 31, Is. 22. - Ст. 225301, DOI 10.1088/1361-648X/ab0b8c. - Cited References: 69. - The reported study was funded by the RAS Presidium program for fundamental research No. 32 'Nanostructures: physics, chemistry, biology and technology fundamentals', Russian Foundation for Basic Research (projects Nos. 16-02-00073, 17-02-00135, 18-32-00443), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: 'Majorana bound fermions in the nanomaterials with strong electron correlations and quantum electron transport in the devices containing these materials' (No. 17-42-240441), 'The manifestation of Coulomb interactions and effects of bounded geometry in the properties of topological edge states of nanostructures with spin-orbit interaction' (No. 18-42-243017). SA is grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, project No. MK-3722.2018.2. MYK thanks the Program of Basic Research of the National Research University Higher School of Economics for support. . - ISSN 0953-8984. - ISSN 1361-648X

РУБ Physics, Condensed Matter

Кл.слова (ненормированные):
topological superconductivity -- Majorana bound state -- Andreev bound state -- Aharonov-Bohm ring
Аннотация: Taking into account an inner structure of the arms of the Aharonov-Bohm ring (AB ring) we have analyzed the transport features related to the topological phase transition which is induced in a superconducting wire (SC wire) with strong spin-orbit interaction (SOI). The SC wire acts as a bridge connecting the arms. The in-plane magnetic-field dependence of linear-response conductance obtained using the nonequilibrium Green's functions in the tight-binding approximation revealed the Breit-Wigner and Fano resonances (FRs) if the wire is in the nontrivial phase. The effect is explained by the presence of two interacting transport channels in the system. As a result, the FRs are attributed to bound states in continuum (BSCs). The BSC lifetime is determined by both hopping parameters between subsystems and the SC-wire properties. It is established that the FR width and position are extremely sensitive to the type of the lowest-energy excitation in the SC wire, the Majorana or Andreev bound state (MBS or ABS, respectively). Moreover, it is shown that in the specific case of the AB ring, the T-shape geometry, the FR disappears for the transport via the MBS and the conductance is equal to one quantum. It doubles in the local transport regime. On the contrary, in the ABS case the local conductance vanishes. The influence of the mean-field Coulomb interactions and diagonal disorder in the SC wire on the FR is investigated.

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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Akademgorodok St 50-38, Krasnoyarsk 660036, Russia.
PL Kapitza Inst Phys Problems RAS, Kosygina St 2, Moscow 119334, Russia.
Natl Res Univ, Higher Sch Econ, Myasnitskaya St 20, Moscow 101000, Russia.

Доп.точки доступа:
Kagan, M. Yu; Aksenov, S. V.; Аксенов, Сергей Владимирович; Вальков, Валерий Владимирович; RAS Presidium program for fundamental research [32]; Russian Foundation for Basic Research [16-02-00073, 17-02-00135, 18-32-00443]; Government of Krasnoyarsk Territory; Krasnoyarsk Regional Fund of Science [17-42-240441, 18-42-243017]; Russian Federation [MK-3722.2018.2]; Program of Basic Research of the National Research University Higher School of Economics
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14.

    Gamov, Alexander.
    Fermion parity of phases supporting multiple Majorana modes in a superconducting nanowire / A. Gamov, A. O. Zlotnikov // J. Sib. Fed. Univ. Math. Phys. - 2023. - Vol. 16, Is. 6. - P. 820-829 ; Журн. СФУ. Матем. и физ. - Cited References: 22. - Gamov A. acknowledges the support of the Theoretical Physics and Mathematics Advancement Foundation "BASIS" . - ISSN 1997-1397. - ISSN 2313-6022
   Перевод заглавия: Фермионная четность в фазах с множеством майорановских мод в сверхпроводящей нанопроволоке
Кл.слова (ненормированные):
Fermion parity -- superconducting nanowire -- Majorana modes -- topological invarian -- topological phase diagram -- фермионная четность -- сверхпроводящая нанопроволока -- майорановские моды -- топологический инвариан -- топологическая фазовая диаграмма
Аннотация: The fermion parity of the ground state is determined in various topological phases of the semiconducting nanowire under external magnetic field with proximity-induced superconductivity and strong spin-orbit interaction. Electron hopping as well as spin-flip hopping due to spin-orbit coupling and superconducting pairings in the second coordination sphere are taken into account. The connection between the fermion parity and the parity of the BDI topological invariant is shown. The formation of topological phases with three and four pairs of Majorana modes has been demonstrated.
Для полупроводниковой нанопроволоки, помещенной во внешнее магнитное поле, с наведенной сверхпроводимостью и сильным спин-орбитальным взаимодействием определена фермионная четность основного состояния в различных топологических фазах при учете перескоков электронов, включая перескоки с переворотом спина за счет спин-орбитальной связи, и сверхпроводящих спариваний во второй координационной сфере. Показана связь фермионной четности и четности BDI топологического инварианта. Продемонстрировано формирование топологических фаз с тремя и четырьмя парами майорановских мод.

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

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович

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15.

Zlotnikov, A. O.
Majorana fermions in strongly correlated system with coexisting superconductivity and noncollinear spin ordering / A. O. Zlotnikov // SNS 2019 Spectroscopies in novel superconductors : Abstract [Program]. - 2019. - Ст. P-MO-31. - P. 91. - Cited References: 3. - This study was funded by the Russian Foundation for Basic Research (No. 19-02-00348а) and the Grant of the President of the Russian Federation MK-3594.2018.2
Аннотация: At present, a new mechanis m of the formation of the Majorana edge states in topological spin-singlet superconductors due to the presence of the long- range magnetic order is often considered [1- 3]. We show a formation of the coexistence state of chiral d+id superconductivity and noncollinear 120-degree spin ordering in the strongly correlated Mott- Hubbard system with a triangular lattice (such as NaxCoO2). There exist different topologically nontrivial phases characterized by the invariant N3in the coexistence stateю The topologicaltransitions between such phases occur upon increasingelectron doping. By solving the system of equations for the Green functions the appearance of Majorana fermions in the coexistence phase is shown. With strong correlation effects the Majorana fermion c an be defined as the specificsuperposition of electron-like and hole-like Hubbard fermions.

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Злотников, Антон Олегович; International Conference on Spectroscopies in Novel Superconductors(2019 ; June ; 16-21 ; Tokyo, Japan)
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16.

Val'kov, V. V.
Majorana fermions in the coexistence phase of noncollinear magnetic ordering and chiral superconductivity / V. V. Val'kov, A. O. Zlotnikov, M. S. Shustin // Moscow International Symposium on Magnetism (MISM-2017) : 1-7 July 2017 : book of abstracts. - 2017. - Ст. 4RP-D-8. - P. 633

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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); Московский государственный университет им. М.В. Ломоносова; Российский фонд фундаментальных исследований
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17.

Aksenov, S. V.
Majorana modes and Fano resonances in Aharonov–Bohm ring with topologically nontrivial superconducting bridge / S. V. Aksenov, M. Yu. Kagan // J. Low Temp. Phys. - 2024, DOI 10.1007/s10909-024-03171-5. - Cited References: 46. - We were inspired by Andreev’s seminal contribution in the superconducting nanophysics—the field which started in fact from Josephson effect and Andreev reflection. M. Yu. Kagan thanks the Program for basic research of the National Research University Higher School of Economics for support. The work was partially carried out within the state assignment of Kirensky Institute of Physics. S.V.A. thanks the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" for support . - Article in press. - ISSN 0022-2291. - ISSN 1573-7357
Кл.слова (ненормированные):
Topological superconductivity -- Majorana modes -- Aharonov–Bohm ring -- Fano resonanse
Аннотация: We study different resonances (first of all of the Fano type) in the interference device formed by the Aharonov–Bohm ring with superconducting (SC) wire in the topologically nontrivial state playing a role of a bridge between top and bottom arms. We analyze Majorana modes on the ends of the SC wire and show that the collapse of the additional Fano resonance, that is initially induced by transport scheme asymmetry, is connected with the increase of the length of the bridge when the binding energy of the Majorana end modes tends to zero. In local transport regime, the Fano resonances are stable against the change of the transport symmetry. The reasons of both collapse and sustainability are analyzed using a spinless toy model including the Kitaev chain.

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Держатели документа:
Kirensky Institute of Physics, Siberian Branch of Russian Academy of Sciences, Akademgorodok 50/38, Krasnoyarsk, Russia, 660036
National Research University Higher School of Economics, Myasnitskaya Street 20, Moscow, Russia, 101000
P.L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, Kosygin Street 2, Moscow, Russia, 119334

Доп.точки доступа:
Kagan, M. Yu.; Аксенов, Сергей Владимирович
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18.

    Aksenov, S. V.
    Majorana modes in BDI-class wire with strong Coulomb correlations / S. V. Aksenov, A. O. Zlotnikov, M. S. Shustin. - Electronic text data // ArXiv. - 2019. - Ст. 1911.01035. - Cited References: 55. - 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 Nos. 18-32-00443, 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: ”The manifestation of Coulomb interactions and effects of bounded geometry in the properties of topological edge states of nanostructures with spin-orbit interaction” (No. 18-42-243017), ”Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology” (No. 19-42-240011). S.A. and A.Z. are grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, projects Nos. MK-3722.2018.2, MK-3594.2018.2.
Рубрики:
Mesoscale and Nanoscale Physics
   Strongly Correlated Electrons
   Superconductivity
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 obtain the topological phase diagrams and analyze properties of edge states in the BDI-class structure the quantity called Majorana polarization is used. Its behavior agrees with the entanglement-spectrum degeneracy which has topological nature. 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 on- and inter-site correlations. In particular, the effects of MSM and MDM robustness as well as their induction are observed. It is shown that in the strongly correlated regime the contributions of single-particle excitations to the Majorana-type states significantly decrease if averaged on-site spin-dependent concentrations have comparable values. Moreover, the t−J∗−V-model is derived allowing to study the effective interactions and improve the DMRG numerics. In order to demonstrate the key role of spin and charge fluctuations in the revealed effects we analytically consider the limiting case of the effective Hamiltonian with infinitely strong on-site repulsion using the Hubbard-I approximation. Finally, the ways to probe the MSMs and MDMs via the features of caloric functions are discussed.

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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; Аксенов, Сергей Владимирович
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19.

Val'kov, V. V.
Majorana polarization and caloric anomalies in strongly correlated superconducting nanowires / V. V. Val'kov, S. V. Aksenov, M. S. Shustin // Euro-asian symposium "Trends in magnetism" (EASTMAG-2019) : Book of abstracts / чл. конс. ком.: S. G. Ovchinnikov, N. V. Volkov [et al.] ; чл. прогр. ком. D. M. Dzebisashvili [et al.]. - 2019. - Vol. 2. - Ст. I.P4. - P. 142-143. - Cited References: 19. - This study was funded by the Russian Foundation for Basic Research (Projects Nos. 19-02-00348, 18-32-00443). M.S.S. is grateful for the support of the Grant of the President of the Russian Federation (project SP-978.2019.5) . - ISBN 978-5-9500855-7-4

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

Доп.точки доступа:
Ovchinnikov, S. G. \чл. конс. ком.\; Овчинников, Сергей Геннадьевич; Volkov, N. V. \чл. конс. ком.\; Волков, Никита Валентинович; Dzebisashvili, D. M. \чл. прогр. ком.\; Дзебисашвили, Дмитрий Михайлович; Aksenov, S. V.; Аксенов, Сергей Владимирович; Shustin, M. S.; Шустин, Максим Сергеевич; Вальков, Валерий Владимирович; Российская академия наук; Уральское отделение РАН; Институт физики металлов им. М. Н. Михеева Уральского отделения РАН; Уральский федеральный университет им. первого Президента России Б.Н. Ельцина; Российский фонд фундаментальных исследований; Euro-Asian Symposium "Trends in MAGnetism"(7 ; 2019 ; Sept. ; 8-13 ; Ekaterinburg); "Trends in MAGnetism", Euro-Asian Symposium(7 ; 2019 ; Sept. ; 8-13 ; Ekaterinburg)
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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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