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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) : 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Zlotnikov A. O., Shustin M. S.
Заглавие : Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
Коллективы : RAS Presidium programs for fundamental research [32, 12]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [18-32-00443, 19-02-00348]; Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [19-42-240011]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK-1641.2020.2, MK-3594.2018.2]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" [18-46-007]
Место публикации : Phys. Rev. B. - 2020. - Vol. 101, Is. 12. - Ст.125431. - ISSN 2469-9950, DOI 10.1103/PhysRevB.101.125431. - ISSN 2469-9969(eISSN)
Примечания : Cited References: 60. - 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 No. 18-32-00443 and No. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research project: "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" (Grant No. 19-42-240011). S.V.A. and A.O.Z. are grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, Projects No. MK-1641.2020.2 and No. MK-3594.2018.2. S.V.A. acknowledges the support from the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" (Grant No. 18-46-007).
Предметные рубрики: QUANTUM
POLARIZATION
TRANSITION
FERMIONS
SPECTRUM
STATE
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 analyze properties of edge states in the BDI-class structure, a quantity called Majorana polarization is used. From its dependence on wire length and an entanglement-spectrum degeneracy, topological phase diagrams are obtained. 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 onsite and intersite correlations. In particular, we demonstrate different scenarios including the possibilities of both induction and suppression of the MSMs and MDMs. It is shown that in the strongly correlated regime, the contributions of single-particle excitations to the Majorana-type states significantly decrease at low magnetic fxields. Moreover, the t-J*-V model is derived allowing to study the effective interactions and improve the DMRG numerics. It is found out that in the limiting case of the effective Hamiltonian with infinitely strong onsite repulsion, t model, the topological phases are destroyed. Finally, the ways to probe the MSMs and MDMs via the features of caloric functions are discussed.
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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 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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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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10.

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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11.

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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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Enkova, Eugenia O., Stepanenko, Vitaly A., Shustin M. S.
Заглавие : Symmetry analysis of radial profiles of magnetic skyrmions
Колич.характеристики :9 с
Место публикации : J. Sib. Fed. Univ. Math. Phys. - 2023. - Vol. 16, Is. 6. - P.811-819. - ISSN 19971397 (ISSN); Журн. СФУ. Матем. и физ. - ISSN 23136022 (eISSN)
Примечания : Cited References: 16. - S.M.S. thanks Maria Potkina as the author of magnetic skyrmionium ansantz, for fruitful discussions and her enormous contribution to this work. The authors thank D. M. Dzebisashvili for useful discussions. The work was carried out within the state assignment of Kirensky Institute of Physics. The work was supported by the Foundation for the Development of Theoretical Physics and Mathematics "BASIS" (project no. 23-1-3-52-1), Krasnoyarsk Mathematical Center of the Ministry of Science and Higher Education of the Russian Federation, Agreement no. 75-02-2023-936
Аннотация: The search for analytical profiles of chiral magnetic structures such as 2D magnetic skyrmions (MS) is important for their theoretical study. Since the Euler–Lagrange (EL) equations for such excita- tions are not solved exactly, the MSs are described using analytical ansatzs. In this work, we validate one of the widely used ansatzs based on a symmetry analysis of the 1D analog of the EL equations, which characterizes the radial profile of the MS. As a development of this approach, a profiles of skyrmion bags are proposed.Поиск аналитических профилей киральных магнитных структур типа 2D магнитных скирмионов (МС) является важным при их теоретическом описании. Поскольку уравнения Эйлера–Лагранжа (ЭЛ) для таких возбуждений не решаются точно, описание МС проводят с помощью аналитических пробных функций — анзацев. В настоящей работе проводится обоснование одного из широко используемых анзацей на основе симметрийного анализа 1D версии уравнений ЭЛ, определяющего радиальный профиль МС. В развитии такого подхода предлагаются профили скирмионных мешков с топологическими зарядами Q ≥ 0.
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13.

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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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Mitskan V. A., Zlotnikov A. O., Shustin M. S., Aksenov S. V.
Заглавие : Occurrence of Topologically Nontrivial Phases, Cascade of Quantum Transitions, and Identification of Majorana Modes in Chiral Superconductors and Nanowires (Scientific Summary)
Коллективы : Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [16-02-00073, 18-32-00443, 19-02-00348]; Government of the Krasnoyarsk Territory; Krasnoyarsk Regional Fund of Science [18-42-243017, 18-42-243018, 18-42-240014]; Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK-3722.2018.2, MK-3594.2018.2]
Место публикации : JETP Letters. - 2019. - Vol. 110, Is. 2. - P.140-153. - ISSN 0021-3640, DOI 10.1134/S002136401914011X. - ISSN 1090-6487(eISSN)
Примечания : Cited References: 88. - This work was supported by the Russian Foundation for Basic Research (project nos. 16-02-00073, 18-32-00443, 19-02-00348) and jointly by the Government of the Krasnoyarsk Territory, the Krasnoyarsk Regional Fund of Science (project no. 18-42-243017, "Manifestation of Coulomb Interactions and Effects of Bounded Geometry in the Properties of Topological Edge States of Nanostructures with Spin-Orbit Interaction"; project no. 18-42-243018, "Contact Phenomena and Magnetic Disorder in the Problem of the Formation and Detection of Topologically Protected Edge States in Semiconductor Nanostructures"; and project no. 18-42-240014, "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"). S.V. Aksenov and A. O. Zlotnikov acknowledge the support of the Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific Schools (project nos. MK-3722.2018.2 and MK-3594.2018.2).
Предметные рубрики: HUBBARD FERMIONS
BOUND-STATE
SPIN
POLARIZATION
COEXISTENCE
Аннотация: The problems of occurrence and experimental identification of topologically nontrivial phases in condensed matter have been reviewed. The results of the study of the effect of strong intra- and interatomic Coulomb interaction on a quantum phase transition with change in the topological index in an ensemble of Hubbard fermions on a triangular lattice have been reported. Nontrivial topology of the phase of coexistence of d + id chiral superconductivity and 120° spin ordering in a system with the triangular lattice has been discussed and the formation of Majorana modes in such a phase has been demonstrated. A cascade of quantum transitions that occurs at the variation of the magnetic field or the electrochemical potential has been analyzed for an open nanowire with the Rashba spin-orbit coupling and the induced superconducting pairing potential. It has been shown that anomalies of magneto- and electrocaloric effects are manifested near such quantum transitions and can be used to experimentally test materials on the existence of topologically nontrivial phases in them. The switching of the spin-polarized current in the topological superconducting phase has been predicted for a semimetal/superconducting wire/semimetal structure in the weak nonequilibrium regime.
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15.

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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16.

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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17.

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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18.

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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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., Dzebisashvili D. M., Stepanenko V. A.
Заглавие : To an analytical theory of higher-order magnetic skyrmions in nonuniform magnetic fields
Колич.характеристики :9 с
Коллективы : Nanophysics and Nanoelectronics, International Symposium
Место публикации : Phys. Solid State. - 2023. - Vol. 65, Is. 6. - P.978-986. - ISSN 10637834 (ISSN), DOI 10.21883/PSS.2023.06.56111.41H. - ISSN 10906460 (eISSN)
Примечания : Cited References: 44. - The research was supported by ”BASIS“ Foundation for Development of Theoretic Physics and Mathematics (project No. 20-1-4-25-1), grant of the President of the Russian Federation MK-4687.2022.1.2, Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement No. 075-02-2023-936)
Аннотация: It is shown that axially symmetric inhomogeneous magnetic fields can lead to stabilization of higher-order magnetic skyrmions with topological charge |Q| ˃ 1 due to orbital effects. We developed the analytical theory on the energy, size, and domain wall width of the such skyrmions in a power-law inhomogeneous fields, with a parameters corresponding to strongly correlated electron systems. The results obtained may have applications in describing the formation of nontrivial magnetic structures in inhomogeneous fields of superconducting vortices in heterostructures superconductor – chiral magnet of the type [Ir1Fe0.5Co0.5Pt1]10/MgO/Nb.
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