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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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    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 total reflection from a symmetric two-channel device with fermion path nonanalyticity points induced by Rashba spin-orbit coupling / V. V. Val’kov, A. D. Fedoseev // Bull. Russ. Acad. Sci. Phys. - 2018. - Vol. 82, Is. 5. - P. 550-553, DOI 10.3103/S1062873818050313. - Cited References: 8. - The reported study was funded by Russian Foundation for Basic Research (project nos. 16-42-242036, 16-42-243056, and 17-42-240441), Government of Krasnoyarsk Territory, and Krasnoyarsk Region Science and Technology Support Fund to the research (project nos. 22/17, 24/17, and 02/17). . - ISSN 1062-8738
Кл.слова (ненормированные):
Electron transport -- Nonanalyticity -- Rashba spin-orbit coupling -- Regular polygon -- Spin-orbit couplings -- Symmetric systems -- Total reflection -- Transmission coefficients
Аннотация: The effect Rashba spin-orbit coupling has on transmission coefficient through a symmetric system with fermion path nonanalyticity points is illustrated using the example of a regular polygon-shaped chain. It is shown that the current passage through a device is blocked at the critical spin-orbit coupling values determined by the system’s geometry. At the near-critical spin-orbit coupling values, electron transport is possible only in a narrow range of energies.

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Публикация на русском языке Вальков, Валерий Владимирович. Эффект полного отражения электронов от симметричного двухканального устройства с точками неаналитичности фермионных траекторий, вызванный спин-орбитальным взаимодействием Рашбы [Текст] / В. В. Вальков, А. Д. Федосеев // Изв. РАН. Сер. физич. - 2018. - Т. 82 № 5. - С. 622-625

Держатели документа:
Kirensky Institute of Physics, Krasnoyarsk Scientific Center, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Вальков, Валерий Владимирович
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Effect of weak hubbard repulsion on spectrum and transport in higher-order topological superconductor / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // VIII Euro-Asian symposium "Trends in magnetism" (EASTMAG-2022) : Book of abstracts / program com. S. G. Ovchinnikov [et al.]. - 2022. - Vol. 2, Sect. I : Magnetism and superconductivity. - Ст. I.P1. - P. 153-154. - Cited References: 5. - The study was supported by Russian Science Foundation, project 22-22-20076 . - ISBN 978-5-94469-051-7

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 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; Российская академия наук; Физико-технический институт им. Е.К. Завойского ФИЦ Казанского научного центра РАН; Казанский (Приволжский) федеральный университет; Euro-Asian Symposium "Trends in MAGnetism"(8 ; 2022 ; Aug. ; 22-26 ; Kazan); "Trends in MAGnetism", Euro-Asian Symposium(8 ; 2022 ; Aug. ; 22-26 ; Kazan)
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Effective interactions in higher-order topological superconductors with strong electron correlations / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // VIII Euro-Asian symposium "Trends in magnetism" (EASTMAG-2022) : Book of abstracts / program com. S. G. Ovchinnikov [et al.]. - 2022. - Vol. 2, Sect. I : Magnetism and superconductivity. - Ст. I.P7. - P. 164-165. - Cited References: 7. - The study was supported by Russian Science Foundation, project 22-22-20076 . - ISBN 978-5-94469-051-7

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 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; Российская академия наук; Физико-технический институт им. Е.К. Завойского ФИЦ Казанского научного центра РАН; Казанский (Приволжский) федеральный университет; Euro-Asian Symposium "Trends in MAGnetism"(8 ; 2022 ; Aug. ; 22-26 ; Kazan); "Trends in MAGnetism", Euro-Asian Symposium(8 ; 2022 ; Aug. ; 22-26 ; Kazan)
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10.

Val'kov, V. V.
Fano antiresonance induced by the rashba spin-orbit coupling in systems with conduction channels exhibiting the points of nonanalyticity in fermion paths / V. V. Val'kov, A. D. Fedoseev // JETP Letters. - 2017. - Vol. 106, Is. 5. - P. 302-307, DOI 10.1134/S0021364017170131. - Cited References:17. - This work was funded by the Russian Foundation for Basic Research (project nos. 16-42-242036, 16-42-243056, and 17-42-240441), Government of the Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund to the Research (project nos. 21/16, 29/16, and 02/17). . - ISSN 0021-3640. - ISSN 1090-6487

РУБ Physics, Multidisciplinary

Аннотация: It is shown that the combined effect of the nonanalyticity of the channel for the motion of charge carriers and the Rashba spin-orbit coupling induces resonant anomalies in the transport characteristics of nanosystems related to the size quantization. When the characteristic length determined by the ratio of the hopping integral and the spin-orbit coupling constant coincides with the distance between the points of nonanalyticity, the size effect arises in the channel. It manifests itself in the complete reflection from the device, which can be treated as the Fano antiresonance. The current-voltage characteristics of the nanosystem with the nonanalytical channel undergo significant changes at slight variations of the spin-orbit coupling constant near its critical value.

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Публикация на русском языке Вальков, Валерий Владимирович. Индуцирование спин-орбитальным взаимодействием Рашбы размерного антирезонанса Фано в каналированных системах с точками неаналитичности фермионных траекторий [Текст] / В. В. Вальков, А. Д. Федосеев // Письма в Журн. эксперим. и теор. физ. - 2017. - Т. 106 Вып. 5. - С. 282-287

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

Доп.точки доступа:
Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Вальков, Валерий Владимирович; Russian Foundation for Basic Research [16-42-242036, 16-42-243056, 17-42-240441]; Government of the Krasnoyarsk Territory; Krasnoyarsk Region Science and Technology Support Fund [21/16, 29/16, 02/17]
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