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1.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Fedoseev A. D., Shustin M. S.
Заглавие : A set of Majorana zero modes on the triangular lattice in the coexistence phase of superconductivity and noncollinear magnetic order
Коллективы : Days of the Condensed Matter University of Bordeaux, Journées de la matiére condensée
Место публикации : The 15th Days of the Condensed Matter (JMC'15): abstracts. - 2016. - P.45
Примечания : 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
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2.

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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3.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Corner excitations in the 2D triangle-shaped topological insulator with chiral superconductivity on the triangular lattice
Место публикации : J. Phys.: Condens. Matter. - 2020. - Vol. 32, Is. 40. - Ст.405302. - ISSN 09538984 (ISSN), DOI 10.1088/1361-648X/ab9e2f
Примечания : 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)
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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4.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V., Zlotnikov A. O., Fedoseev A. D., Shustin M. S.
Заглавие : Edge states and Majorana modes in condensed matter
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.I1.14. - P.31. - ISBN 978-5-904603-06-9 (Шифр -478014040)
Примечания : References: 3
Ключевые слова (''Своб.индексиров.''): majorana fermions--edge states--triangular lattice--honeycomb lattice--electronic transport
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5.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effect of local coulomb interaction on majorana corner modes
Коллективы : International Conference on Supercondactivity and Magnetism
Место публикации : 8th International conference on supercondactivity and magnetism (ICSM2023): abstract book. - 2023. - P.454
Примечания : Cited References: 4. - РНФ № 22-22-20076
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6.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effect of local Coulomb interaction on Majorana corner modes: Weak and strong correlation limits
Место публикации : Phys. Rev. B. - 2023. - Vol. 107, Is. 12. - Ст.125401. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.107.125401. - ISSN 24699969 (eISSN)
Примечания : 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
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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7.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Fedoseev A. D.
Заглавие : Effect of total reflection from a symmetric two-channel device with fermion path nonanalyticity points induced by Rashba spin-orbit coupling
Место публикации : Bull. Russ. Acad. Sci. Phys. - 2018. - Vol. 82, Is. 5. - P.550-553. - ISSN 10628738 (ISSN), DOI 10.3103/S1062873818050313
Примечания : 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).
Ключевые слова (''Своб.индексиров.''): 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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8.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effect of weak hubbard repulsion on spectrum and transport in higher-order topological superconductor
Коллективы : 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", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : 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. - ISBN 978-5-94469-051-7
Примечания : Cited References: 5. - The study was supported by Russian Science Foundation, project 22-22-20076
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9.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effective interactions in higher-order topological superconductors with strong electron correlations
Коллективы : 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", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : 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. - ISBN 978-5-94469-051-7
Примечания : Cited References: 7. - The study was supported by Russian Science Foundation, project 22-22-20076
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Fedoseev A. D.
Заглавие : Fano antiresonance induced by the rashba spin-orbit coupling in systems with conduction channels exhibiting the points of nonanalyticity in fermion paths
Коллективы : 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]
Место публикации : JETP Letters. - 2017. - Vol. 106, Is. 5. - P.302-307. - ISSN 0021-3640, DOI 10.1134/S0021364017170131. - ISSN 1090-6487(eISSN)
Примечания : 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).
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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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shaykhutdinov K. A., Popkov S. I., Lavrov A. N., Kozeeva L. P., Kameneva M. Y., Val'kov V. V., Dzebisashvili D. M., Fedoseev A. D.
Заглавие : Features of the low-temperature specific heat in underdoped YBa2Cu3O6+x single crystals
Коллективы :
Разночтения заглавия :авие SCOPUS: Features of the low-temperature specific heat in underdoped YBa2Cu3O6 + x single crystals
Место публикации : JETP Letters. - 2010. - Vol. 92, Is. 5. - P.332-337. - ISSN 0021-3640, DOI 10.1134/S0021364010170133
Примечания : Cited References: 8. - The work was supported by the Siberian Branch, Russian Academy of Sciences (project no. 53, the Interdisciplinary Integration Program), by the Russian Foundation for Basic Research (project no. 10-02-00251), and by the Ministry of Education and Science of the Russian Federation (program "Scientific and Pedagogical Personnel of Innovative Russia" for 2009-2013). A.D.F. acknowledges the support of the Siberian Branch, Russian Academy of Sciences, provided in the framework of the Lavrent'ev Competition of the projects submitted by young researchers.
Аннотация: The behavior of the low-temperature specific heat C(T) for YBa2Cu3O6 + x single crystals with the doping level corresponding to the normal phase has been studied by the relaxation technique at different values of the applied magnetic field. It has been found that the C(T)/T plot exhibits such an anomaly as a steep increase with decreasing temperature from T about 4 K down to T a parts per thousand currency sign 2 K (the minimum temperature value accessible in the experiment). The applied magnetic field as high as 9 T inverts this anomaly and leads to a sharp drop in C(T)/T during cooling within the same temperature range. A model involving the Schottky-type centers formulated in this work and the data on spin correlation functions has allowed us to calculate the temperature dependence of the specific heat, which fits the experimental curves quite well.
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Fedoseev A. D.
Заглавие : Heat capacity and magnetoresistance of a lightly doped two-dimensional antiferromagnet in the noncollinear phase
Место публикации : Bull. Russ. Acad. Sci.: Phys. - 2013. - Vol. 77, Is. 3. - P.349-351. - ISSN 1062-8738, DOI 10.3103/S1062873813030386
Аннотация: The energy spectrum of mobile charge carriers in a two-dimensional Antiferromagnet placed in external magnetic field is analyzed. It is shown that allowing for the magnetic sublattice skew the effective mass of mobile charge carriers in a lightly doped Antiferromagnet. This affects substantially the transport and thermodynamic properties of the system. A insulator-semimetal transition is induced with external magnetic field. В© 2013 Allerton Press, Inc.
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Higher-order topological superconductor on the bipartite triangular lattice
Место публикации : Phys. Rev. B. - 2022. - Vol. 105, Is. 15. - Ст.155423. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.105.155423
Примечания : Cited References: 68. - The author thanks M. M. Korovushkin, S. V. Aksenov, M. S. Shustin, V. A. Mitskan, A. O. Zlotnikov, and D. M. Dzebisashvili for the fruitful discussions and valuable remarks. The reported study was funded by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: “Study of edge states in one- and two-dimensional topological superconductors” (Grant No. 20-42-243005)
Аннотация: In order to investigate the possibility of construction of the higher-order topological superconductor on the triangular lattice, the different types of the coupling of chiral topological superconductor edge states are considered. It is demonstrated that the widespread criterion of the topological corner mode's appearance consisting in edge-state effective mass changing at the corner has to be modified in the case of multiple Dirac points in the edge-state spectrum. It is shown that the effective mass must be of the same sign at all Dirac points on one edge adjacent to the corner and be opposite at all the Dirac points on another one. For a two-dimensional system constructed from two chiral topological superconductors on the triangular lattice with inverted bands, two types of interactions leading to the higher-order topological superconducting phase are revealed.
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Fedoseev A. D., Shustin M. S.
Заглавие : Majorana zero modes in the coexistence phase of chiral superconductivity and 120°-type magnetic order on the triangular lattice
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 Science, 2017. - Vol. 440. - P.37-40. - ISSN 0304-8853, DOI 10.1016/j.jmmm.2016.12.093
Примечания : Cited References: 15. - This study was funded by RFBR according to the research projects Nos. 16-02-00073-a, 16-42-243069-r-mol-a (partly with Government of Krasnoyarsk Territory). A.O.Z. is grateful for support of the Grant of the President of the Russian Federation SP-1370.2015.5.
Предметные рубрики: HUBBARD FERMIONS
BREAKING
ENSEMBLE
STATES
Ключевые слова (''Своб.индексиров.''): majorana zero modes--chiral superconductivity--noncollinear magnetic order--triangular lattice
Аннотация: We discuss the conditions under which Majorana zero modes can be implemented in the coexistence phase of chiral superconductivity and 120°-type noncollinear spin structure on the triangular lattice. It is shown that the gapless elementary excitations exist on the finite region in the parameter space consisting of the effective exchange field, the chemical potential, and the superconducting order parameter. The range of parameters supporting Majorana edge states with exactly zero excitation energy has also been found.Обсуждаются условия, при которых в фазе сосуществования киральной сверхпроводимости и неколлинеарной 120-градусной спиновой структуры на треугольной решетке могут реализоваться майорановские нулевые моды. Показано, что бесщелевые элементарные возбуждения существуют в конечной области параметрического пространства, определяемого эффективным обменным полем, химическим потенциалом и сверхпроводящим параметром порядка. Набор параметров, формирующий майорановские краевые состояния со строго равной нулю энергией возбуждения, также был найден.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Modification of topological corner excitations at the interplay of boundary geometry and Coulomb interaction
Колич.характеристики :9 с
Место публикации : J. Phys. Condens. Matter. - 2023. - Vol. 35, Is. 45. - Ст.455301. - ISSN 09538984 (ISSN), DOI 10.1088/1361-648X/aceddf. - ISSN 1361648X (eISSN)
Примечания : Cited References: 35. - The author thanks S V Aksenov and M M Korovushkin for the fruitful discussions and valuable remarks. The reported study was supported by Russian Science Foundation (Project No. 22-22-20076) and Krasnoyarsk Regional Fund of Science
Аннотация: The effect of Coulomb interaction on the 2D second order topological superconductor is investigated taking into account different geometries of the boundary in the mainframe of the mean-field approximation. The spontaneous symmetry breaking, described earlier in Aksenov et al (2023 Phys. Rev.B 107 125401), is found to be robust against the boundary deformation. Meanwhile, the details of the state with spontaneously broken symmetry is found to be dependent on the specific boundary geometry. Considering different types of the boundary of the 2D system, it is demonstrated that the deviation of the electron density in the broken symmetry state is determined by the position of the zero-dimensional (second-order) excitations with nearly zero energy. The critical value of the Coulomb interaction, at which the transition occurs, is found to be determined by the energy of these excitations, which is non-zero due to overlapping of the wave-functions at different corners.
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : On the Dirac mass of Hubbard fermions in strongly correlated higher-order topological superconductor
Колич.характеристики :8 с
Коллективы : Nanophysics and Nanoelectronics, International Symposium
Место публикации : Phys. Solid State. - 2023. - Vol. 65, Is. 7. - С. 1063-1070. - ISSN 10637834 (ISSN), DOI 10.61011/PSS.2023.07.56391.31H. - ISSN 10906460 (eISSN)
Примечания : Cited References: 28. - The study was supported by the Russian Science Foundation (project No. 22-22-20076), and Krasnoyarsk Regional Fund of Science
Аннотация: Majorana corner modes have a number of advantages over the conventional Majorana states in terms of performing topologically protected quantum computations. However, the problem of the influence of Coulomb repulsion on higher-order phases, which inevitably arises when trying to implement such systems in practice, has been poorly studied. In this article, we analyze the features of a topological invariant describing the nontrivial phase with the corner modes for a two-dimensional two-orbital model of a hybrid structure in the regime of extremely strong electron correlations. For this purpose, approximate wave functions of the edge states with a linear dispersion law and the associated Dirac masses, which arise when superconducting pairing in the system is taken into account, are obtained.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Partial differential cross section of inelastic magnetic neutron scattering in the paramagnetic phase of LaCoO3
Коллективы : Russian Foundation for Basic Research [13-02-00523 A, 14-02-31280 mol_a, 13-02-98013]
Место публикации : J. Exp. Theor. Phys.: Pleiades Publishing, 2014. - Vol. 119, Is. 3. - P.573-578. - ISSN 1063-7761, DOI 10.1134/S1063776114090027. - ISSN 1090-6509
Примечания : Cited References: 18. - This study was supported by the Russian Foundation for Basic Research (project nos. 13-02-00523 A, 14-02-31280 mol_a, and 13-02-98013).
Предметные рубрики: FEATURES
STATE
Аннотация: The partial differential cross section of inelastic magnetic neutron scattering from the compound LaCoO3 in the paramagnetic phase is studied theoretically. The contribution to scattering from the high-spin state of an ion in zero magnetic field and the modification of this contribution upon application of a magnetic field are calculated using the effective Hamiltonian for the 5 D term. The amplitude of the peak in the dependence of the scattering cross section on the energy of scattered neutrons, which corresponds to the transition from the low-spin to the intermediate-spin state, is estimated.
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Realization conditions and the magnetic field dependence of corner excitations in the topological insulator with superconducting coupling on the triangular lattice
Коллективы : Russian Foundation for Basic Research, Government of Krasnoyarsk Territory [19-02-00348]; Krasnoyarsk Regional Fund of Science [20-42-243005]; "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" [19-42-240011]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK1641.2020.2]
Место публикации : J. Exp. Theor. Phys. - 2021. - Vol. 133, Is. 1. - P.71-76. - ISSN 1063-7761, DOI 10.1134/S1063776121060029. - ISSN 1090-6509(eISSN)
Примечания : Cited References: 38. - This work was supported by the Russian Foundation for Basic Research (project no. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: "Study of edge states in oneand two-dimensional topological superconductors" (no. 20-42-243005), "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" (no. 19-42-240011), and Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Project MK1641.2020.2)
Предметные рубрики: EDGE
STATES
ORDER
Аннотация: The studies of the topological properties of systems have recently been extended due to a new concept of higher-order topological insulators and superconductors. Many models were proposed for two-dimensional systems on a square lattice, where corner excitations can appear; however, the problem of existence of such excitations in superconducting systems with a triangular crystal lattice is still poorly understood. Using a topological insulator in the form of a triangle with a chiral superconducting order parameter as an example, we shows that corner excitations can exist in C3-symmetric systems. In spite of a nontopological character, these excitations have energies inside the gap of the first-order edge excitation spectrum over a wide parameter range and are well localized at the corners of the system. Gapless corner excitations are shown to exist in the system at certain parameters. The application of a magnetic field in the system plane removes the triple degeneracy of the corner excitation energy and makes it possible to control the position of the minimum-energy corner excitation using a magnetic field. At the same time the fine adjustment to achieve the gapless excitations at the chosen corner can be made with changing of the magnetic field value.
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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Size Effects on the Conditions of Edge State Formation in 1D Systems
Место публикации : J. Exp. Theor. Phys. - 2019. - Vol. 128, Is. 1. - P.125-132. - ISSN 10637761 (ISSN), DOI 10.1134/S106377611812004X
Примечания : Cited References: 28. - The reported study was funded by Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund according to the research project 17-42-240441 "Majorana bound fermions in the nanomaterials with strong electron correlations and quantum electron transport in the devices containing these materials," project no. 18-32-00443 "Finite-size effects and the role of electron correlations in the formation of the Majorana modes in low-dimensional systems with the spin-orbit interaction," project no. 18-42-243017 "Manifestation of Coulomb interactions and limited geometry effects in the properties of topological edge states of nanostructures with the spin-orbit interaction," project no. 18-42-243018 "Contact phenomena and magnetic disorder in the problem of formation and detection of topologically protected edge states in semiconducting nanostructures," as well as grant of the President of the Russian Federation no. MK 3722.2018.2.
Ключевые слова (''Своб.индексиров.''): cylinders (shapes)--1d systems--cylindrical geometry--edge state--finite length--kitaev model--localization length--size effects--topological index--topology
Аннотация: A criterion for revealing edge states in the case when the size of a system is comparable with the localization length of these states has been proposed. The application of the algorithm for determining edge states in short systems has been demonstrated on examples of the Bernevig–Hughes–Zhang (BHZ) model in the cylindrical geometry, the Kitaev model, and a chain with the spin–orbit interaction and induced superconductivity. It has been shown that for finite-length 1D systems, there exist ranges of parameters in which the edge states are not formed, although the topological index is nontrivial; conversely, the emergence of the Majorana modes in regions with a trivial topological index has been demonstrated.
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : The edge states properties of the topological insulator with fermion path nonanalyticity points located at the edge
Место публикации : J. Phys.: Condens. Matter. - 2020. - Vol. 32, Is. 21. - Ст.215301. - ISSN 09538984 (ISSN), DOI 10.1088/1361-648X/ab73a9
Примечания : Cited References: 46. - The author thanks V V Val'kov and M M Korovushkin for the fruitful discussions and valuable remarks. The reported study was funded by the RAS Presidium program for fundamental research No. 32 'Nanostructures: physics, chemistry, biology and technology fundamentals', the Russian Foundation for Basic Research (project nos. 19-02-00348, 18-32-00443), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: 'Manifestation of Coulomb interactions and effects of restricted geometry in properties of topological edge states of nanostructures with spin–orbit coupling' (No. 18-42-243017), Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (project no. MK-3722.2018.2)
Аннотация: The edge states properties of a finite-size 2D topological insulator (TI) with the open boundary conditions in both directions are studied. It is shown that fermion path nonanalyticity points appearing on the edge of finite-size TI cause a nonuniform edge state distribution along the TI edge. The character of this distribution depends substantially on the edge state's energy position in the bulk band gap. The edge state with the energy in the middle of the gap tends to be located in the corners between two nonparallel edges of the system, while the edge states with the energy close to the bulk band edge avoid the corners. The monotonic transition from one space distribution of the edge state wave function to another along the edge state's band is observed. The mentioned edge state's structure leads to the nonlinear current-voltage characteristic of the square-shaped TI with contacts connected with the corners of the device. It opens the possibility to control the current with the gate voltage and is useful for construction the nano-size devices. For the edge states with energy in the middle of a bulk gap, the vortex structure of the probability flux located near corners is found.
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