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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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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., 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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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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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Knyazev Yu. V., Bayukov O. A., Shustin M. S., Balatskii D. V., Bel’skaya N. A., Gromilov S. A., Sukhikh A. S., Rudenko V. V., Kazak N. V.
Заглавие : Effect of electron delocalization on the “recoil-free” absorption of γ-quants in Fe1.75V0.25BO4 warwickite
Коллективы : International Baltic Conference on Magnetism: focus on nanobiomedicine and smart materials, Балтийский федеральный университет им. И. Канта
Место публикации : 4th International Baltic Conference on Magnetism (IBCM 2021): Book of abstracts. - 2021. - P.139
Примечания : Cited References: 2
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Knyazev Yu. V., Bayukov O. A., Shustin M. S., Balatskii D. V., Bel’skaya N. A., Gromilov S. A., Sukhikh A. S., Rudenko V. V., Kazak N. V.
Заглавие : Effect of electron delocalization on the “recoil-free” absorption of γ-Ray photons in Fe1.75V0.25BO4 warwickite
Место публикации : JETP Letters. - 2021. - Vol. 113, Is. 4. - P.279-284. - ISSN 00213640 (ISSN), DOI 10.1134/S002136402104010X
Примечания : Cited References: 42. - This work was supported by the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (project no. MK-2339.2020.2) and by the Russian Foundation for Basic Research (project no. 20-02-00559-a)
Аннотация: Mössbauer spectroscopy is used to study the characteristic features of the crystal lattice dynamics in powdered single crystals of Fe1.75V0.25BO4 warwickite in the temperature range of 4.2–505 K. The Debye temperature (ΘD = 260 K) is determined from the temperature dependence of the probability of the Mössbauer effect in the thin absorber approximation. It is found that the electron delocalization related to the fast electronic transfer between neighboring Fe3+ and Fe2+ cations takes place in the temperature range of 260−505 K. As a result, iron cations exhibiting the mixed valence (Fe2.5+) arise. This process correlates with a change in the elastic properties of the lattice. Such correlation leads to a sharp decrease in the recoil-free absorption of γ‑ray photons by the crystal lattice in the range of 260–400 K.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Shustin M. S.
Заглавие : Effect of intersite repulsion on the correlation functions and thermodynamics of an Ising chain with annealed magnetic disorder
Место публикации : Bull. Russ. Acad. Sci. Phys.: Allerton Press, 2016. - Vol. 80, Is. 11. - P.1335-1337. - ISSN 10628738 (ISSN), DOI 10.3103/S1062873816110290
Примечания : Cited References: 6. - This work was supported by the Russian Foundation for Basic Research, project nos. 13-02-00073, 14-02-31237, and 15-42-04372.
Ключевые слова (''Своб.индексиров.''): chains--magnetic susceptibility--temperature distribution--thermodynamics--transfer matrix method--correlation function--equilibrium behavior--equilibrium distributions--non-magnetic impurities--quantum phase transitions--repulsion parameter--temperature dependence--transfer matrix technique--phase transitions
Аннотация: An exact solution for a model describing the equilibrium behavior of an ensemble of Ising chains with nonmagnetic intersite repulsion of nearest neighbors and an equilibrium distribution of nonmagnetic impurities is obtained using the transfer matrix technique. The possibility of exciting quantum phase transitions using the intersite repulsion parameter in a system is demonstrated. Proximity to the critical points of these transitions has a substantial effect on the temperature dependence of a system’s magnetic susceptibility. © 2016, Allerton Press, Inc.
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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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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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10.

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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11.

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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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S., Potkina M. N.
Заглавие : Effective easy-axis anisotropy of the two-sublattice single-chain magnet with twisted easy planes
Коллективы : Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" [20-1-4-25-1, 19-1-1-12-2]
Место публикации : Nanosyst. - Phys. Chem. Math. - 2020. - Vol. 11, Is. 6. - P.659-665. - ISSN 2220-8054, DOI 10.17586/2220-8054-2020-11-6-659-665; Наносистемы: физ., хим., матем. - ISSN 2305-7971(eISSN)
Примечания : Cited References: 15. - S. M. S. expresses deep gratitude to V. V. Val'kov. The main results of this work were with substantial use of the theory developed by him (see for example articles [10], [12] and references given in them), as well as on his previous advice. S. M. S. and M. N. P. acknowledges the support from the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" (Grants No. 20-1-4-25-1 and 19-1-1-12-2, respectively)
Аннотация: An analytical solution for the spin-wave spectrum of the two-sublattice 1D magnet with SA = SB = 1 and twisting easy planes has been obtained. Such planes are mutually twisted by an angle φ relative to each other. For the case of mutually orthogonal easy planes φ = π/2, the spectrum vs. quasi-momentum dependence has been compared with that of an easy-axis magnet with the easy axis aligned along the line of intersection of the planes. An analogy of the spectra of the models has been shown, indicating the possibility of the effective easy axis anisotropy in easy-plane two-sublattice single-chain magnets.
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13.

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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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S., Aksenov S. V.
Заглавие : Features of physical observables of a strongly correlated superconducting nanowire with Rashba spin–orbit interaction
Место публикации : J. Exp. Theor. Phys. - 2022. - Vol. 135, Is. 4. - P.500-512. - ISSN 10637761 (ISSN), DOI 10.1134/S1063776122100181. - ISSN 10906509 (eISSN)
Примечания : Cited References: 66. - This study was supported by the Russian Foundation for Basic Research (project nos. 19-02-00348 and 20-02-00015), the administration of the Krasnoyarsk Kray, the Krasnoyarsk Kray Science Foundation (project nos. 20-42-243001 and 20-42-243005), and the Council for Grants from the President of Russian Federation (projects nos. MK-1641.2020.2 and MK-4687.2022.1). One of the authors (Sh.M.S.) thanks the Foundation for the Development of Theoretical Physics and Mathematics “BASIS”
Аннотация: We analyze the behavior of caloric characteristics and the electron component of the spin polarization of excitations in the regime of strong electron correlations of a nanowire, which is characterized by induced superconductivity of the extended s-type symmetry, the Rashba spin–orbit interaction, and the Zeeman splitting of on-site energy. The problem has been analyzed using the density matrix renormalization group method. It is shown that for unambiguous identification of different phases (the topologically trivial phase with edge excitations and without them, as well as topologically nontrivial phases with one or several pairs of Majorana modes), it is insufficient to analyze each of the aforementioned characteristics separately; it is necessary to consider their features simultaneously.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Mitskan V. A., Shustin M. S.
Заглавие : Ground-State Fermion Parity and Caloric Properties of a Superconducting Nanowire
Место публикации : J. Exp. Theor. Phys. - 2019. - Vol. 129, Is. 3. - P.426-437. - ISSN 10637761 (ISSN), DOI 10.1134/S1063776119080144
Примечания : Cited References: 74. - This work was supported by the Russian Foundation for Basic Research (project nos. 16-02-00073, 18-32-00443, 18-42-243017, 18-42-243018), the Government of the Krasnoyarsk Kray, the Krasnoyarsk Kray Science Foundation within the scientific projects “Contact Phenomena and Magnetic Disorder in the Formation and Detection of Topologically Protected Edge States in Semiconductor Nanostructures” (project no. 18-42-243018), “Manifestation of Coulomb Interactions and Bounded-Geometry Effects in the Properties of Topological Edge States of Nanostructures with Spin–Orbit Interactions” (project no. 18-42-243017). One of us (Sh. M. S.) thanks the Council for Grants of the Russian President (project nos. MK-3594.2018.2 and MK-3722.2018.2).
Аннотация: Abstract: The ground-state structure and fermion parity have been determined for a semiconductor nano-wire with a strong Rashba spin–orbit interaction and proximity-induced superconductivity placed in an external magnetic field under periodic boundary conditions. Allowance for the open boundaries is shown to cause the topologically nontrivial parameter region to be partitioned into a set of subregions with a different ground-state fermionic parity. This peculiarity is related to the emergence of edge modes with nonmonotonically changing excitation energies in the system as its parameters change. At the quantum transition point, at which the ground-state fermionic parity changes, the edge-mode energy is zero. The magneto- and electrocaloric effects are shown to be effective characteristics that allow the series of quantum transitions in an open nanowire to be identified experimentally. These effects at low temperatures exhibit an anomalous behavior in the parameter region for which topologically stable Majorana modes are realized in long nanowires. © 2019, Pleiades Publishing, Inc.
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S., Stepanenko V. A., Dzebisashvili D. M.
Заглавие : Higher-order magnetic skyrmions in nonuniform magnetic fields
Место публикации : Phys. Rev. B. - 2023. - Vol. 107, Is. 19. - Ст.195428. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.107.195428. - ISSN 24699969 (eISSN)
Примечания : Cited References: 75. - The authors thank Prof. I. S. Burmistrov, S. Apostoloff, E. S. Andriyakhina, M. N. Potkina, and A. D. Fedoseev for fruitful discussions. S.M.S. acknowledges the support the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” (Grant No. 20-1-4-25-1) and Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Grant No. MK-4687.2022.1.2). The analytical solution of systems of nonlinear algebraic equations was carried out by S.V.A. with the support by Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement No. 075-02-2023-936)
Аннотация: For a two-dimensional Hubbard model with spin-orbit Rashba coupling in external magnetic field the structure of effective spin interactions is studied in the regime of strong electron correlations and at half-filling. It is shown that in the third order of perturbation theory, the scalar and vector chiral spin-spin interactions of the same order arise. The emergence of the latter is due to orbital effects of magnetic field. It is shown that for nonuniform fields, scalar chiral interaction can lead to stabilization of axially symmetric skyrmion states with arbitrary topological charges. Taking into account the hierarchy of effective spin interactions, an analytical theory on the optimal sizes of such states, the higher-order magnetic skyrmions, is developed for axially symmetric magnetic fields of the form h(r) ∼ rβ with ∊R.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Shustin M. S.
Заглавие : Low temperature spectral properties of 1D magnets with twisting and mutually orthogonal arrangement of easy planes
Место публикации : Bull. Russ. Acad. Sci. Phys.: Allerton Press, 2015. - Vol. 79, Is. 6. - P.734-736. - ISSN 1062-8738, DOI 10.3103/S1062873815060337
Примечания : Cited References: 4. - The work was supported by the Russian Foundation for Basic Research, project nos. 13-02-00523, 13-02-98013, and 14-02-31280).
Аннотация: The exitation spectrum of a ferrimagnetic Heisenberg chain with four sublattices and twisting mutually ortoghonal easy planes is calculated using a diagram technique of atomic representation. It is shown that at low temperatures, the exitation spectrum of elementary excitations of the system is similar to the spectrum of a magnet with an effective easy-axis type anisotropy directed along the line of easy plane intersection. © 2015, Allerton Press, Inc.
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18.

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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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Zlotnikov A. O., Shustin M. S.
Заглавие : Majorana modes in BDI-class wire with strong Coulomb correlations [Electronic resource]
Место публикации : ArXiv. - 2019. - Ст.1911.01035
Вид и объем ресурса: Electronic text data
Примечания : 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.
Предметные 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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20.

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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