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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 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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Effective interactions in higher-order topological superconductors with strong electron correlations / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // VIII Euro-Asian symposium "Trends in magnetism" (EASTMAG-2022) : Book of abstracts / program com. S. G. Ovchinnikov [et al.]. - 2022. - Vol. 2, Sect. I : Magnetism and superconductivity. - Ст. I.P7. - P. 164-165. - Cited References: 7. - The study was supported by Russian Science Foundation, project 22-22-20076 . - ISBN 978-5-94469-051-7

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

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Шустин, Максим Сергеевич; Zlotnikov, A. O.; Злотников, Антон Олегович; Российская академия наук; Физико-технический институт им. Е.К. Завойского ФИЦ Казанского научного центра РАН; Казанский (Приволжский) федеральный университет; Euro-Asian Symposium "Trends in MAGnetism"(8 ; 2022 ; Aug. ; 22-26 ; Kazan); "Trends in MAGnetism", Euro-Asian Symposium(8 ; 2022 ; Aug. ; 22-26 ; Kazan)
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    Gamov, Alexander.
    Fermion parity of phases supporting multiple Majorana modes in a superconducting nanowire / A. Gamov, A. O. Zlotnikov // J. Sib. Fed. Univ. Math. Phys. - 2023. - Vol. 16, Is. 6. - P. 820-829 ; Журн. СФУ. Матем. и физ. - Cited References: 22. - Gamov A. acknowledges the support of the Theoretical Physics and Mathematics Advancement Foundation "BASIS" . - ISSN 1997-1397. - ISSN 2313-6022
   Перевод заглавия: Фермионная четность в фазах с множеством майорановских мод в сверхпроводящей нанопроволоке
Кл.слова (ненормированные):
Fermion parity -- superconducting nanowire -- Majorana modes -- topological invarian -- topological phase diagram -- фермионная четность -- сверхпроводящая нанопроволока -- майорановские моды -- топологический инвариан -- топологическая фазовая диаграмма
Аннотация: The fermion parity of the ground state is determined in various topological phases of the semiconducting nanowire under external magnetic field with proximity-induced superconductivity and strong spin-orbit interaction. Electron hopping as well as spin-flip hopping due to spin-orbit coupling and superconducting pairings in the second coordination sphere are taken into account. The connection between the fermion parity and the parity of the BDI topological invariant is shown. The formation of topological phases with three and four pairs of Majorana modes has been demonstrated.
Для полупроводниковой нанопроволоки, помещенной во внешнее магнитное поле, с наведенной сверхпроводимостью и сильным спин-орбитальным взаимодействием определена фермионная четность основного состояния в различных топологических фазах при учете перескоков электронов, включая перескоки с переворотом спина за счет спин-орбитальной связи, и сверхпроводящих спариваний во второй координационной сфере. Показана связь фермионной четности и четности BDI топологического инварианта. Продемонстрировано формирование топологических фаз с тремя и четырьмя парами майорановских мод.

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Держатели документа:
Siberian Federal University, Krasnoyarsk, Russian Federation
Kirensky Institute of Physics Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович

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10.

    Majorana zero modes in the coexistence phase of chiral superconductivity and 120°-type magnetic order on the triangular lattice / V. V. Val'kov [et al.] // J. Magn. Magn. Mater. - 2017. - Vol. 440. - P. 37-40, DOI 10.1016/j.jmmm.2016.12.093. - 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. . - ISSN 0304-8853
   Перевод заглавия: Майорановские нулевые моды в фазе сосуществования сверхпроводимости и 120-градусного магнитного порядка на треугольной решетке

РУБ Materials Science, Multidisciplinary + Physics, Condensed Matter
Рубрики:
HUBBARD FERMIONS
   BREAKING
   ENSEMBLE
   STATES
Кл.слова (ненормированные):
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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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.; Шустин, Максим Сергеевич; 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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11.

    Occurrence of Topologically Nontrivial Phases, Cascade of Quantum Transitions, and Identification of Majorana Modes in Chiral Superconductors and Nanowires (Scientific Summary) / V. V. Val'kov [et al.] // JETP Letters. - 2019. - Vol. 110, Is. 2. - P. 140-153, DOI 10.1134/S002136401914011X. - 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). . - ISSN 0021-3640. - ISSN 1090-6487
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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Держатели документа:
Russian Acad Sci, Siberian Branch, Kirensky Inst Phys, Fed Res Ctr KSC, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Mitskan, V. A.; Мицкан, Виталий Александрович; Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Aksenov, S. V.; Аксенов, Сергей Владимирович; 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]
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12.

On the Dirac mass of Hubbard fermions in strongly correlated higher-order topological superconductor / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // Phys. Solid State. - 2023. - Vol. 65, Is. 7. - P1063-1070, DOI 10.61011/PSS.2023.07.56391.31H. - Cited References: 28. - The study was supported by the Russian Science Foundation (project No. 22-22-20076), and Krasnoyarsk Regional Fund of Science . - ISSN 1063-7834. - ISSN 1090-6460
Кл.слова (ненормированные):
topological phases -- Dirac fermions -- Coulomb interaction -- strong correlations -- Majorana modes
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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Публикация на русском языке О дираковской массе хаббардовских фермионов в сильно коррелированном топологическом сверхпроводнике высокого порядка [Текст] / С. В. Аксенов, А. Д. Федосеев, М. С. Шустин, А. О. Злотников. - 9 с. // Физ. твердого тела. - 2023. - Т. 65 Вып. 7. - С. 1109-1117

Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB, Russian Academy of Sciences, 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; Nanophysics and Nanoelectronics, International Symposium(XXVII ; 13-16 March 2023 ; Nizhny Novgorod, Russia)
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13.

Topological superconductivity and Majorana states in low-dimensional systems / V. V. Val'kov, M. S. Shustin, S. V. Aksenov [et al.] // Phys.-Usp. - 2022. - Vol. 65, Is. 1. - P. 2-39, DOI 10.3367/UFNe.2021.03.038950. - Cited References: 320. - This review was prepared in the framework of the Russian Foundation for Basic Research (RFBR) grant 19-12-50087. Part of the presented results were obtained in the framework of RFBR projects 19-02-00348, 20-32-70059, and 20-02-00015. S V A expresses his gratitude for support through a grant from the President of the Russian Federation, MK-1641.2020.2. A O Z and M S Sh express their gratitude to the Theoretical Physics and Math ematics Advancement Foundation “BASIS”. M Yu K thanks the Program for Basic Research of the NationalResearch University Higher School of Economics for support . - ISSN 1063-7869
Кл.слова (ненормированные):
low-dimensional system -- Majorana bound state -- spin-orbit coupling -- topological invariant -- Coulomb correlations -- noncollinear magnetism -- topological superconductivity -- quantum transport
Аннотация: We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, the criteria for the appearance of elementary Majorana-type excitations in solids, and the corresponding principles and experimental methods for identifying Majorana bound states (MBSs). Along with the well-known Kitaev chain and superconducting nanowire (SW) models with spin-orbit coupling in an external magnetic field, we discuss models of quasi-two-dimensional materials in which MBSs are realized in the presence of noncollinear spin ordering. For finite-length SWs, we demonstrate a cascade of quantum transitions occurring with a change in the magnetic field, accompanied by a change in the fermion parity of the ground state. The corresponding anomalous behavior of the magnetocaloric effect can be used as a tool for identifying MBSs. We devote considerable attention to the analysis of the transport characteristics of devices that contain topologically nontrivial materials. The results of studying the conductance of an Aharonov-Bohm ring whose arms are connected by an SW are discussed in detail. An important feature of this device is the appearance of Fano resonances in the dependence of conductance on the magnetic field when the SW is in a topologically nontrivial phase. We establish a relation between the characteristics of such resonances and the spatial structure of the lowest-energy SW state. The conditions for the occurrence of an MBS in the phase of the coexistence of chiral d+id superconductivity and 120-degree spin ordering are determined in the framework of the t-J-V model on a triangular lattice. We take electron-electron interactions into account in discussing the topological invariants of low-dimensional superconducting materials with noncollinear spin ordering. The formation of Majorana modes in regions with an odd value of a topological ℤ invariant is demonstrated. The spatial structure of these excitations in the Hubbard fermion ensemble is determined.

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Публикация на русском языке Топологическая сверхпроводимость и майорановские состояния в низкоразмерных системах [Текст] : обзор / В. В. Вальков, M. S. Shustin, S. V. Aksenov [и др.] // Успехи физ. наук. - 2022. - Т. 192 № 1. - С. 3-44

Держатели документа:
Kirensky Institute Of Physics, Federal Research Center Krasnoyarsk Scientific Center, Siberian Branch, Russian Academy Of Sciences, Krasnoyarsk, Russian Federation
National Research University Higher School of Economics, ul. Myasnitskaya 20, 101000 Moscow, Russian Federation
Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, 119334 Moscow, Russian Federation

Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Shustin, M. S.; Шустин, Максим Сергеевич; Aksenov, S. V.; Аксенов, Сергей Владимирович; Zlotnikov, A. O.; Злотников, Антон Олегович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Mitskan, V. A.; Мицкан, Виталий Александрович; Kagan, M. Yu.
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14.

Val'kov, V. V.
Anomalies in the characteristics of electronic structure upon a quantum phase transition to a state with two order parameters and the breaking of time-reversal symmetry / V. V. Val’kov, A. O. Zlotnikov // Bull. Russ. Acad. Sci. Phys. - 2016. - Vol. 80, Is. 6. - P. 616-619, DOI 10.3103/S106287381606040X. - Cited References: 9 . - ISSN 1062-8738
Кл.слова (ненормированные):
Antiferromagnetism -- Electronic structure -- Phase transitions -- Temperature distribution -- Antiferromagnetic order parameter -- Density of state -- Landau expansion -- Periodic Anderson model -- Quantum phase transitions -- Temperature dependence -- Time reversal symmetries -- Two order parameters -- Quantum theory
Аннотация: Based on the periodic Anderson model, microscopic expressions for the Ginzburg–Landau expansion coefficients in a phase with superconducting and antiferromagnetic order parameters are obtained. Temperature dependences of the order parameters near the temperature of the transition to this phase are established. The emergence of anomalous properties upon the quantum phase transition to the phase with two order parameters is investigated. This transition is accompanied by drastic reconstruction of the density of states, reflected by the interplay between superconductivity and antiferromagnetism. © 2016, Allerton Press, Inc.

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Публикация на русском языке Вальков, Валерий Владимирович. Аномалии характеристик электронной структуры при квантовом фазовом переходе в состояние с двумя параметрами порядка и нарушенной симметрией относительно инверсии времени [Текст] / В. В. Вальков, А. О. Злотников // Изв. РАН. Сер. физ. - 2016. - Т. 80 № 6. - С. 683-686

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Вальков, Валерий Владимирович
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15.

Val'kov, V. V.
Anomalous Properties and Coexistence of Antiferromagnetism and Superconductivity near a Quantum Critical Point in Rare-Earth Intermetallides / V. V. Val'kov, A. O. Zlotnikov // J. Experim. Theor. Phys. - 2013. - Vol. 116, Is. 5. - P. 817–822DOI 10.1134/S1063776113050129
Аннотация: Mechanisms of the appearance of anomalous properties experimentally observed at the transition through the quantum critical point in rare-earth intermetallides have been studied. Quantum phase transitions are induced by the external pressure and are manifested as the destruction of the long-range antiferromagnetic order at zero temperature. The suppression of the long-range order is accompanied by an increase in the area of the Fermi surface, and the effective electron mass is strongly renormalized near the quantum critical point. It has been shown that such a renormalization is due to the reconstruction of the quasiparticle band, which is responsible for the formation of heavy fermions. It has been established that these features hold when the coexistence phase of antiferromagnetism and superconductivity is implemented near the quantum critical point.

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Публикация на русском языке Аномальные свойства и сосуществование антиферромагнетизма со сверхпроводимостью вблизи квантовой критической точки в редкоземельных интерметаллидах. - [S. l. : s. n.]

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia;

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Вальков, Валерий Владимирович
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16.

Val'kov, V. V.
Coexistence of superconductivity and antiferromagnetism in heavy-fermion intermetallic compound CeRhIn5 / V. V. Val'Kov, A. O. Zlotnikov // J. Supercond. Nov. Magn. - 2013. - Vol. 26, Is. 9. - P. 2885-2886, DOI 10.1007/s10948-013-2222-4 . - ISSN 1557-1939
Кл.слова (ненормированные):
Coexistence superconductivity antiferromagnetism -- Heavy-fermion systems -- Periodic Anderson model
Аннотация: An interference of heavy-fermion superconductivity (SC) and antiferromagnetism (AFM) has been studied in the framework of the periodic Anderson model with the superexchange interaction between localized electrons. It has been shown that pressure-induced energy change of the localized states leads to modifying antiferromagnetic and superconducting order parameters. Conditions have been found for the coexistence of SC and AFM in the model. Theoretical results of the pressure effects on the ground state character of the heavy-fermion systems are in good agreement with experimental data for a rare-earth intermetallic compound CeRhIn5. The divergence of the effective electron mass produced by suppressing the long-range antiferromagnetic order has also been analyzed in the same framework. В© 2013 Springer Science+Business Media New York.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian State Aerosp Univ, Krasnoyarsk, Russia;

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Вальков, Валерий Владимирович
}
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17.

Val'kov, V. V.
Coexistence of superconductivity and antiferromagnetism in heavy-fermion intermetallides / V. V. Val'kov, A. O. Zlotnikov // Theor. math. phys. - 2013. - Vol. 174, Is. 3. - P. 421-437DOI 10.1007/s11232-013-0035-z
Аннотация: Using the two-time retarded Green’s function, we study the conditions for realizing the phase of the superconductivity and antiferromagnetism coexistence in the framework of the effective Hamiltonian for the periodic Anderson model. Such a phase was experimentally observed in rare-earth intermetallides with heavy fermions under an external pressure. In the chosen model, the Cooper instability is induced in the presence of long-range antiferromagnetic ordering as a result of the combined effect of a superexchange interaction in the subsystem of localized electrons and the hybridization between two groups of electrons. Applying an external pressure induces an increase in the energy of the localized level accompanied by an abrupt destruction of the long-range antiferromagnetic ordering in a certain region of the phase diagram. The superconductivity order parameter has a maximum value at the destruction point. We show that the decrease in the antiferromagnetic-sublattice magnetization with increasing pressure leads to a significant increase in the masses of Fermi quasiparticles, and the sign of the current carriers reverses at the critical point. The obtained results qualitatively agree well with the experimental data for the heavy-fermion intermetallide CeRhIn 5 .

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Публикация на русском языке Сосуществование сверхпроводимости и антиферромагнетизма в тяжелофермионных интерметаллидах. - [S. l. : s. n.]

Держатели документа:
RAS, Siberian Branch, Kirensky Inst Phys, Krasnoyarsk, Russia
Reshetnev Siberian State Aerosp Univ, Krasnoyarsk, Russia

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Вальков, Валерий Владимирович
}
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18.

Val'kov, V. V.
Coexistence of the chiral superconductivity and noncollinear magnetic order in the ensemble of Hubbard fermions on a triangular lattice / V. V. Val'kov, A. O. Zlotnikov // JETP Letters. - 2016. - Vol. 104, Is. 7. - P. 483-488, DOI 10.1134/S0021364016190127. - Cited References: 24. - This work was supported by the Russian Foundation for Basic Research (project no. 16-02-00073-a), by the Government of Krasnoyarsk Krai (project no. 16-42-243069-r-mol-а), and by the Siberian Branch, Russian Academy of Sciences (project no. 0358-2015-0002, Complex Program II.2P). The work of A.O.Z. was supported by the Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific Schools (project no. SP-1370.2015.5). . - ISSN 0021-3640
Аннотация: For the system of strongly correlated electrons on a triangular lattice, the possibility of coexisting superconductivity with the chiral order parameter and the 120°-type noncollinear spin ordering is demonstrated. The integral self-consistency equation for the superconducting order parameter is derived using the diagram technique for Hubbard operators taking into account the spin structure, exchange interaction within two coordination spheres, and intersite Coulomb repulsion. © 2016, Pleiades Publishing, Inc.

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Публикация на русском языке Вальков, Валерий Владимирович. Сосуществование киральной сверхпроводимости и неколлинеарного магнитного порядка в ансамбле фермионов Хаббарда на треугольной решетке [Текст] / В. В. Вальков, A. O. Злотников // Письма в Журн. эксперим. и теор. физ. : Наука, 2016. - Т. 104 Вып. 7-8. - С. 512-517

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Вальков, Валерий Владимирович
}
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19.

Val'kov, V. V.
Effect of pressure on antiferromagnetic and superconducting ordering in systems with heavy fermions / V. V. Val'kov, A. O. Zlotnikov // Bull. Russ. Acad. Sci.: Phys. - 2012. - Vol. 76, Is. 7. - P. 733-736, DOI 10.3103/S1062873812070362. - Cited References: 7. - This work was supported by the Department of Physical Sciences, Russian Academy of Sciences (the Strong Electron Correlations Program); the Russian Foundation for Basic Research, projects nos. 100200251 and 110200741; the RFBR Sibir’, project no. 110298007; and by the federal target program Scientific and Pedagogical Personnel of an Innovative Russia, 2009–2013. . - ISSN 0022-2860
Кл.слова (ненормированные):
Antiferromagnetic orderings -- Antiferromagnetic orders -- Antiferromagnetic phasis -- Antiferromagnetics -- Cooper instability -- Effect of pressure -- External pressures -- Heavy fermion -- Impurity level -- Localized state -- Periodic Anderson model -- Seed energy -- Spin moments -- Superconducting ordering -- Superexchange interaction -- Superconductivity -- Antiferromagnetism
Аннотация: Characteristics of the superconducting and antiferromagnetic phases of heavy-fermion intermet-allides are described within a periodic Anderson model with allowance for the superexchange interaction between spin moments of the localized states. It is shown that an external pressure that changes the seed energy of an impurity level can rapidly destroy the long-range antiferromagnetic order. The development of the Cooper instability near such an order-disorder transition induces the experimentally observed state in which superconductivity coexists with the antiferromagnetic ordering. В© 2012 Allerton Press, Inc.

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Публикация на русском языке Вальков, Валерий Владимирович. Влияние давления на антиферромагнитное и сверхпроводящее упорядочение в системах с тяжелыми фермионами [Текст] / В. В. Вальков, A. O. Злотников // Изв. РАН. Сер. физич. - 2012. - Т. 76 № 7. - С. 821-824

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Вальков, Валерий Владимирович; International Interdisciplinary Symposium “Ordering in Minerals and Alloys” (14th ; 8 -13 Sept. 2011 ; Rostov-on-Don)
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20.

Val'kov, V. V.
Effect of the intersite Coulomb interaction on chiral superconductivity at the noncollinear spin ordering / V. V. Val'kov, A. O. Zlotnikov // Phys. Solid State. - 2017. - Vol. 59, Is. 11. - P. 2120-2126, DOI 10.1134/S1063783417110300. - Cited References:18. - This study was supported by the Russian Foundation for Basic Research, Government of the Krasnoyarsk Territory, and Krasnoyarsk Territorial Foundation for Support of Scientific and R&D Activities, projects no. 16-02-00073-a and 16-42-243057-r-mol-a and the Complex Program of the Siberian Branch of the Russian Academy of Sciences II.2P, project no. 0358-2015-002. A.O. Zlotnikov is grateful for support of the Grant of the President of the Russian Federation SP-1370.2015.5. . - ISSN 1063-7834. - ISSN 1090-6460

РУБ Physics, Condensed Matter
Рубрики:
TRIANGULAR LATTICE
   MAGNETIC ORDER
   COEXISTENCE
   PHASE
Аннотация: We investigate the effect of the intersite Coulomb interaction in a planar system with the triangular lattice on the structure of chiral order parameter Δ(p) in the phase of coexisting superconductivity and noncollinear 120° magnetic ordering. It has been established that the Coulomb correlations in this phase initiate the state where the quasi-momentum dependence Δ(p) can be presented as a superposition of the chiral invariants corresponding to the dx2−y2+idxy and px + ipy symmetry types. It is demonstrated that the inclusion of the Coulomb interaction shifts the Δ(p) nodal point positions and, thereby, changes the conditions for a quantum topological transition.

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Публикация на русском языке Вальков, Валерий Владимирович. Влияние межузельного кулоновского взаимодействия на киральную сверхпроводимость при наличии неколлинеарного спинового упорядочения [Текст] / В. В. Вальков, A. O. Злотников // Физ. тверд. тела. - 2017. - Т. 59 Вып. 11. - С. 2100-2106

Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Вальков, Валерий Владимирович; Russian Foundation for Basic Research; Government of the Krasnoyarsk Territory; Krasnoyarsk Territorial Foundation for Support of Scientific and RD Activities [16-02-00073-a, 16-42-243057-r-mol-a]; Complex Program of the Siberian Branch of the Russian Academy of Sciences II.2P [0358-2015-002]; Grant of the President of the Russian Federation [SP-1370.2015.5]
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