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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Вальков, Валерий Владимирович, Мицкан, Виталий Александрович, Шустин, Максим Сергеевич
Заглавие : Майорановские моды в квантовых проволоках конечной длины с электронными корреляциями
Коллективы : Институт физики металлов Уральского отделения РАН, Уральская международная зимняя школа по физике полупроводников
Место публикации : 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
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zlotnikov A. O., Aksenov S. V., Shustin M. S.
Заглавие : Spin-orbit coupling-induced effective interactions in superconducting nanowires in the strong correlation regime
Коллективы : 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]
Место публикации : Phys. Solid State. - 2020. - Vol. 62, Is. 9. - P.1612-1618. - ISSN 1063-7834, DOI 10.1134/S1063783420090371. - ISSN 1090-6460(eISSN)
Примечания : 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
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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zlotnikov A. O.
Заглавие : Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study
Место публикации : Phys. Rev. B. - 2023. - Vol. 107, Is. 14. - Ст.144513. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.107.144513. - ISSN 24699969 (eISSN)
Примечания : 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”
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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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Zlotnikov A. O.
Заглавие : Majorana vortex modes in magnet-superconductor hybrids with a triangular lattice: local density of states study
Коллективы : International Conference on Supercondactivity and Magnetism
Место публикации : 8th International conference on supercondactivity and magnetism (ICSM2023): abstract book. - 2023. - P.177
Примечания : Cited References: 6
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Zlotnikov A. O.
Заглавие : Majorana fermions in strongly correlated system with coexisting superconductivity and noncollinear spin ordering
Коллективы : International Conference on Spectroscopies in Novel Superconductors
Место публикации : SNS 2019 Spectroscopies in novel superconductors: Abstract [Program]. - 2019. - Ст.P-MO-31. - P.91
Примечания : 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zlotnikov A. O., Shustin M. S., Fedoseev A. D.
Заглавие : Aspects of topological superconductivity in 2D systems: Noncollinear magnetism, skyrmions, and higher-order topology
Коллективы : 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"
Место публикации : J. Supercond. Nov. Magn. - 2021. - Vol. 34, Is. 12. - P.3053-3088. - ISSN 1557-1939, DOI 10.1007/s10948-021-06029-z. - ISSN 1557-1947(eISSN)
Примечания : 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"
Предметные рубрики: D-WAVE SUPERCONDUCTIVITY
NON-ABELIAN STATISTICS
CHIRAL SUPERCONDUCTIVITY
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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Shustin M. S.
Заглавие : The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120-degree magnetic order on a triangular lattice
Коллективы : Moscow International Symposium on Magnetism
Место публикации : J. Magn. Magn. Mater. - 2018. - Vol. 459. - P.112-117. - ISSN 03048853 (ISSN), DOI 10.1016/j.jmmm.2017.11.115
Примечания : 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.
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Shustin M. S.
Заглавие : The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120 degrees magnetic order on a triangular lattice [Electronic resource]
Место публикации : ArXiv. - 2017. - Ст.1707.04422
Вид и объем ресурса: Electronic text data
Примечания : 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.
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Spin-polarized-current switching mediated by Majorana bound states
Место публикации : J. Magn. Magn. Mater. - 2018. - Vol. 465. - P.88-92. - ISSN 03048853 (ISSN), DOI 10.1016/j.jmmm.2018.04.043
Примечания : 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).
Ключевые слова (''Своб.индексиров.''): 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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10.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Spin-polarized transport through Majorana bound states in a canted magnetic field
Коллективы : Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium, Институт физики им. Л.В. Киренского Сибирского отделения РАН
Место публикации : 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. - ISBN 978-5-904603-06-9 (Шифр -478014040)
Примечания : 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-
Ключевые слова (''Своб.индексиров.''): semiconducting wire--majorana fermions--topological superconductivity
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11.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V., Shustin M. S.
Заглавие : Majorana polarization and caloric anomalies in strongly correlated superconducting nanowires
Коллективы : 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", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : 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. - ISBN 978-5-9500855-7-4 (Шифр В33/E12-125657784)
Примечания : 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)
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12.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Shustin M. S.
Заглавие : Majorana fermions in the coexistence phase of noncollinear magnetic ordering and chiral superconductivity
Коллективы : Moscow International Symposium on Magnetism, Московский государственный университет им. М.В. Ломоносова, Российский фонд фундаментальных исследований
Место публикации : Moscow International Symposium on Magnetism (MISM-2017): 1-7 July 2017 : book of abstracts. - 2017. - Ст.4RP-D-8. - P.633 (Шифр 29916280)
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Kagan, M. Yu, Aksenov S. V.
Заглавие : Fano effect in Aharonov-Bohm ring with topologically superconducting bridge
Коллективы : 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
Место публикации : J. Phys.: Condens. Matter. - 2019. - Vol. 31, Is. 22. - Ст.225301. - ISSN 0953-8984, DOI 10.1088/1361-648X/ab0b8c. - ISSN 1361-648X(eISSN)
Примечания : 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.
Ключевые слова (''Своб.индексиров.''): 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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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Electronic spin polarization in the Majorana bound state in one-dimensional wires
Коллективы : Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium, Институт физики им. Л.В. Киренского Сибирского отделения РАН
Место публикации : J. Magn. Magn. Mater.: Elsevier, 2017. - Vol. 440. - P.112-115. - ISSN 0304-8853, DOI 10.1016/j.jmmm.2016.10.155
Примечания : 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.
Предметные рубрики: NON-ABELIAN STATISTICS
FERMIONS
Ключевые слова (''Своб.индексиров.''): 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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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Effect of magnetic field orientation and disorder on Majorana polarization in wires with topological superconductivity
Место публикации : Low Temp. Phys: American Institute of Physics, 2017. - Vol. 43, Is. 4. - P.437-441. - ISSN 1063777X (ISSN), DOI 10.1063/1.4983331
Примечания : 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).
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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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Mitskan V. A., Shustin M. S.
Заглавие : Cascade of quantum transitions and magnetocaloric anomalies in an open nanowire
Коллективы : 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
Место публикации : JETP Letters. - 2017. - Vol. 106, Is. 12. - P.798-804. - ISSN 0021-3640, DOI 10.1134/S0021364017240134. - ISSN 1090-6487(eISSN)
Примечания : 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).
Предметные 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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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Shustin M. S., Aksenov S. V., Zlotnikov A. O., Fedoseev A. D., Mitskan V. A., Kagan M. Yu.
Заглавие : Topological superconductivity and Majorana states in low-dimensional systems
Место публикации : Phys.-Usp. - 2022. - Vol. 65, Is. 1. - P.2-39. - ISSN 10637869 (ISSN), DOI 10.3367/UFNe.2021.03.038950
Примечания : 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
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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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S., Aksenov S. V., Burmistrov I. S.
Заглавие : Topological phases induced by charge fluctuations in Majorana wires
Колич.характеристики :18 с
Место публикации : Phys. Rev. B. - 2024. - Vol. 109, Is. 7. - Ст.075435. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.109.075435. - ISSN 24699969 (eISSN)
Примечания : 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
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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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S.
Заглавие : Stable Majorana modes in spin-polarized wire with strong interactions
Место публикации : J. Supercond. Novel Magn. - 2022. - Vol. 35, Is. 8: The Kourovka Winter School of Theoretical Physics. - P.2209-2216. - ISSN 15571939 (ISSN), DOI 10.1007/s10948-022-06238-0
Примечания : 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)
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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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S., Aksenov S. V.
Заглавие : Effect of strong intersite Coulomb interaction on the topological properties of a superconducting nanowire
Место публикации : Phys. Solid State. - 2022. - Vol. 64, Is. 13. - P.2047-2053. - ISSN 10637834 (ISSN), DOI 10.21883/PSS.2022.13.53972.23s. - ISSN 10906460 (eISSN)
Примечания : 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
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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