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    A set of Majorana zero modes on the triangular lattice in the coexistence phase of superconductivity and noncollinear magnetic order / V. V. Val'kov [et al.] // The 15th Days of the Condensed Matter (JMC'15) : abstracts. - 2016. - P. 45. - References: 4. - This study was funded by RFBR in part according to the research project No. 16-02-00073-a. A.O.Z. is grateful for support of the Grant of the President of the Russian Federation SP-1370.2015.5
   Перевод заглавия: Набор майорановских нулевых мод на треугольной решетке в фазе сосуществования сверхпроводимости и неколлинеарного магнитного порядка

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Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Zlotnikov, A. O.; Злотников, Антон Олегович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Days of the Condensed Matter University of Bordeaux(15 ; 22-26 Aug. 2016 ; Bordeaux, France); Journées de la matiére condensée(15 ; 2016 ; Aug. ; 22-26 ; Bordeaux, France)
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    Aksenov, S. V.
    Majorana modes in BDI-class wire with strong Coulomb correlations / S. V. Aksenov, A. O. Zlotnikov, M. S. Shustin. - Electronic text data // ArXiv. - 2019. - Ст. 1911.01035. - 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.
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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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Аксенов, Сергей Владимирович
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Aksenov, S. V.
Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI / S. V. Aksenov, A. O. Zlotnikov, M. S. Shustin // Phys. Rev. B. - 2020. - Vol. 101, Is. 12. - Ст. 125431, DOI 10.1103/PhysRevB.101.125431. - 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). . - ISSN 2469-9950. - ISSN 2469-9969

РУБ Materials Science, Multidisciplinary + Physics, Applied + Physics, Condensed Matter
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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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Аксенов, Сергей Владимирович; 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]
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Edge states and Majorana modes in condensed matter / V. V. Val'kov [et al.] // VI Euro-Asian Symposium "Trends in MAGnetism" (EASTMAG-2016) : abstracts / ed.: O. A. Maksimova, R. D. Ivantsov. - Krasnoyarsk : KIP RAS SB, 2016. - Ст. I1.14. - P. 31. - References: 3 . - ISBN 978-5-904603-06-9
Кл.слова (ненормированные):
majorana fermions -- edge states -- triangular lattice -- honeycomb lattice -- electronic transport

Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Aksenov, S. V.; Аксенов, Сергей Владимирович; Zlotnikov, A. O.; Злотников, Антон Олегович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Euro-Asian Symposium "Trends in MAGnetism"(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); "Trends in MAGnetism", Euro-Asian Symposium(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); Институт физики им. Л.В. Киренского Сибирского отделения РАН

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Effect of electron delocalization on the “recoil-free” absorption of γ-quants in Fe1.75V0.25BO4 warwickite / Yu. V. Knyazev, O. A. Bayukov, M. S. Shustin [et al.] // 4th International Baltic Conference on Magnetism (IBCM 2021) : Book of abstracts. - 2021. - P. 139. - Cited References: 2

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS

Доп.точки доступа:
Knyazev, Yu. V.; Князев, Юрий Владимирович; Bayukov, O. A.; Баюков, Олег Артемьевич; Shustin, M. S.; Шустин, Максим Сергеевич; Balatskii, D. V.; Bel’skaya, N. A.; Gromilov, S. A.; Sukhikh, A. S.; Rudenko, V. V.; Руденко, Валерий Васильевич; Kazak, N. V.; Казак, Наталья Валерьевна; International Baltic Conference on Magnetism: focus on nanobiomedicine and smart materials(4 ; 2021 ; Aug. 29-Sept. 2 ; Svetlogorsk, Russia); Балтийский федеральный университет им. И. Канта
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Effect of electron delocalization on the “recoil-free” absorption of γ-Ray photons in Fe1.75V0.25BO4 warwickite / Y. V. Knyazev, O. A. Bayukov, M. S. Shustin [et al.] // JETP Letters. - 2021. - Vol. 113, Is. 4. - P. 279-284, DOI 10.1134/S002136402104010X. - 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) . - ISSN 0021-3640
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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Публикация на русском языке Влияние электронной делокализации на поглощение "без отдачи" γ-квантов в варвиките Fe1.75V0.25BO4 [Текст] / Ю. В. Князев, О. А. Баюков, М. С. Шустин [и др.] // Письма в ЖЭТФ. - 2021. - Т. 113 Вып. 4. - С. 267-273

Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Institute of Chemistry, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690022, Russian Federation
Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660037, Russian Federation
Nikolaev Institute of Inorganic Chemistry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation

Доп.точки доступа:
Knyazev, Yu. V.; Князев, Юрий Владимирович; Bayukov, O. A.; Баюков, Олег Артемьевич; Shustin, M. S.; Шустин, Максим Сергеевич; Balatskii, D. V.; Bel’skaya, N. A.; Gromilov, S. A.; Sukhikh, A. S.; Rudenko, V. V.; Руденко, Валерий Васильевич; Kazak, N. V.; Казак, Наталья Валерьевна
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Effect of local coulomb interaction on majorana corner modes / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // 8th International conference on supercondactivity and magnetism (ICSM2023) : abstract book. - 2023. - P. 454. - Cited References: 4. - РНФ № 22-22-20076

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Держатели документа:
Kirensky Institute of Physics, FRC KSC SB RAS

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Шустин, Максим Сергеевич; Zlotnikov, A. O.; Злотников, Антон Олегович; International Conference on Supercondactivity and Magnetism(8 ; 2023 ; May 4-11 ; Ölüdeniz-Fethiye, Turkey)
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Effect of local Coulomb interaction on Majorana corner modes: Weak and strong correlation limits / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // Phys. Rev. B. - 2023. - Vol. 107, Is. 12. - Ст. 125401, DOI 10.1103/PhysRevB.107.125401. - Cited References: 63. - We acknowledge fruitful discussions with D. M. Dzebisashvili and V. A. Mitskan. The reported study was supported by Russian Science Foundation Project No. 22-22-20076, and Krasnoyarsk Regional Fund of Science . - ISSN 2469-9950. - ISSN 2469-9969
Аннотация: Here we present an analysis of the evolution of Majorana corner modes realizing in a two-dimensional higher-order topological superconductor (HOTSC) on a square lattice under the influence of local Coulomb repulsion. Both weak- and strong-interaction regimes are studied. It is shown that in the homogeneous system, the weak repulsion widens the region of the topologically nontrivial phase on the phase diagram. The open-boundary effect, resulting in spatial inhomogeneity of the system, leads to the appearance of the ground-state crossover as the repulsion intensity increases. Before the crossover, concentration correlators are C4 symmetric and spin independent, and the corner states have energies that are determined by the overlap of the excitation wave functions localized at the different corners. After the crossover, the concentration correlators are spin dependent and possess the spontaneously broken symmetry. In turn, the corner excitation energy is size independent and defined by the Coulomb repulsion intensity with a quadratic law. In the strong-repulsion regime we derive the effective HOTSC Hamiltonian in the atomic representation and found a rich variety of interactions induced by virtual processes between the lower and upper Hubbard subbands. It is shown that Majorana corner modes still can be realized in the limit of the infinite repulsion, although the boundaries of the topologically nontrivial phase are strongly renormalized by Hubbard corrections.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia

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

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russia

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Шустин, Максим Сергеевич; Zlotnikov, A. O.; Злотников, Антон Олегович; Российская академия наук; Физико-технический институт им. Е.К. Завойского ФИЦ Казанского научного центра РАН; Казанский (Приволжский) федеральный университет; Euro-Asian Symposium "Trends in MAGnetism"(8 ; 2022 ; Aug. ; 22-26 ; Kazan); "Trends in MAGnetism", Euro-Asian Symposium(8 ; 2022 ; Aug. ; 22-26 ; Kazan)
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10.

Effective easy-axis anisotropy of the two-sublattice single-chain magnet with twisted easy planes / M. S. Shustin, M. N. Potkina // Nanosyst. - Phys. Chem. Math. - 2020. - Vol. 11, Is. 6. - P. 659-665 ; Наносистемы: физ., хим., матем., DOI 10.17586/2220-8054-2020-11-6-659-665. - 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) . - ISSN 2220-8054. - ISSN 2305-7971

РУБ Nanoscience & Nanotechnology

Кл.слова (ненормированные):
single-chain magnets -- magnonic spectrum -- strong single-ion anisotropy
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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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia.
ITMO Univ, Kronverkskiy 49, St Petersburg 197101, Russia.
St Petersburg State Univ, St Petersburg 198504, Russia.
Univ Iceland, Sci Inst, IS-107 Reykjavik, Iceland.
Univ Iceland, Fac Phys Sci, IS-107 Reykjavik, Iceland.

Доп.точки доступа:
Shustin, M. S.; Шустин, Максим Сергеевич; Potkina, M. N.; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" [20-1-4-25-1, 19-1-1-12-2]

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