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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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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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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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Zlotnikov, A. O.
Aspects of topological superconductivity in 2D systems: Noncollinear magnetism, skyrmions, and higher-order topology / A. O. Zlotnikov, M. S. Shustin, A. D. Fedoseev // J. Supercond. Nov. Magn. - 2021. - Vol. 34, Is. 12. - P. 3053-3088, DOI 10.1007/s10948-021-06029-z. - Cited References: 230. - The study was funded by the Russian Foundation for Basic Research (Project No. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science (Grants No. 19-42240011, 20-42-243001). A.O.Z. and M.S.S. are grateful to the support of the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" . - ISSN 1557-1939. - ISSN 1557-1947

РУБ Physics, Applied + Physics, Condensed Matter
Рубрики:
D-WAVE SUPERCONDUCTIVITY
NON-ABELIAN STATISTICS
CHIRAL SUPERCONDUCTIVITY
Кл.слова (ненормированные):
Topological superconductivity -- Majorana fermions -- Noncollinear magnetism -- Magnetic skyrmion -- Higher-order topology
Аннотация: The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range noncollinear spin ordering or magnetic skyrmions. Another purpose is to give a brief introduction to the new concept of topological superconductivity, i.e. higher-order topology in two-dimensional systems including spin-orbit coupled structures. The formation of Majorana modes due to magnetic textures is discussed. The role of effective triplet pairings and odd fermion parity of the ground state wave function in different systems is emphasized. We describe the peculiarities of the magnetic skyrmions, leading to the formation of the Majorana modes and defects on which the modes are localized. The problem of braiding in the two-dimensional systems, especially in higher-order topological superconductors, is considered.

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

Доп.точки доступа:
Shustin, M. S.; Шустин, Максим Сергеевич; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Злотников, Антон Олегович; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348]; Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [19-42240011, 20-42-243001]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS"
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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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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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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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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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10.

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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