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Zlotnikov, A. O.
Majorana fermions in strongly correlated system with coexisting superconductivity and noncollinear spin ordering / A. O. Zlotnikov // SNS 2019 Spectroscopies in novel superconductors : Abstract [Program]. - 2019. - Ст. P-MO-31. - P. 91. - Cited References: 3. - This study was funded by the Russian Foundation for Basic Research (No. 19-02-00348а) and the Grant of the President of the Russian Federation MK-3594.2018.2
Аннотация: At present, a new mechanis m of the formation of the Majorana edge states in topological spin-singlet superconductors due to the presence of the long- range magnetic order is often considered [1- 3]. We show a formation of the coexistence state of chiral d+id superconductivity and noncollinear 120-degree spin ordering in the strongly correlated Mott- Hubbard system with a triangular lattice (such as NaxCoO2). There exist different topologically nontrivial phases characterized by the invariant N3in the coexistence stateю The topologicaltransitions between such phases occur upon increasingelectron doping. By solving the system of equations for the Green functions the appearance of Majorana fermions in the coexistence phase is shown. With strong correlation effects the Majorana fermion c an be defined as the specificsuperposition of electron-like and hole-like Hubbard fermions.

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Доп.точки доступа:
Злотников, Антон Олегович; International Conference on Spectroscopies in Novel Superconductors(2019 ; June ; 16-21 ; Tokyo, Japan)
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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.
The influence of spin and charge fluctuations on the coexistence phase of superconductivity and antiferromagnetism in heavy-fermion Ce-based compounds / V. V. Val'kov, A. O. Zlotnikov // VI Euro-Asian Symposium "Trends in MAGnetism" (EASTMAG-2016) : abstracts / ed.: O. A. Maksimova, R. D. Ivantsov. - Krasnoyarsk : KIP RAS SB, 2016. - Ст. O2.3. - P. 136. - References: 2. - This study was funded by the Program of SB RAS 0358-2015-0002 and RFBR 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. . - ISBN 978-5-904603-06-9
Кл.слова (ненормированные):
heavy fermions -- antiferromagnetism -- superconductivity -- Ginzburg-Landau theory

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Вальков, Валерий Владимирович; 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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Val'kov, V. V.
The electron energy spectrum and superconducting transition temperature of strongly correlated fermions with three-center interactions / V. V. Val'kov, D. M. Dzebisashvili // J. Exp. Theor. Phys. - 2005. - Vol. 100, Is. 3. - P. 608-616, DOI 10.1134/1.1901772. - Cited References: 29 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
T-J MODEL
   BAND HUBBARD-MODEL
   VALENCE BOND STATE
   RANGE-ORDER
   SYSTEMS
   WAVE
Кл.слова (ненормированные):
Antiferromagnetic materials -- Approximation theory -- Fermions -- Ground state -- Hamiltonians -- Superconductivity -- Density of states -- Electron energy spectrum -- Strongly correlated fermions -- Superconducting phase -- Superconducting transition temperature
Аннотация: The renormalizations of the fermionic spectrum are considered within the framework of the t-J* model taking into account three-center interactions (H-(3)) and magnetic fluctuations. Self-consistent spin dynamics equations for strongly correlated fermions with three-center interactions were obtained to calculate quasi-spin correlators. A numerical self-consistent solution to a system of ten equations was obtained to show that, in the nearest-neighbor approximation, simultaneously including H-(3) and magnetic fluctuations at n > n(1) (n(1) approximate to 0.72 for 2t/U = 0.25) caused qualitative changes in the structure of the energy spectrum. A new Van Hove singularity is then induced in the density of states, and an additional maximum appears in the T-c(n) concentration dependence of the temperature of the transition to the superconducting phase with order parameter symmetry of the d(x2-y2) type. (C) 2005 Pleiades Publishing, Inc.

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
Krasnoyarsk State Tech Univ, Krasnoyarsk 660074, Russia
Krasnoyarsk State Univ, Krasnoyarsk 660075, Russia
ИФ СО РАН
Kirenskii Inst. of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russian Federation
Krasnoyarsk State Tech. University, Krasnoyarsk, 660074, Russian Federation
Krasnoyarsk State University, Krasnoyarsk, 660075, Russian Federation

Доп.точки доступа:
Dzebisashvili, D. M.; Дзебисашвили, Дмитрий Михайлович; Вальков, Валерий Владимирович
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Val'kov, V. V.
Symmetry properties of the phase of coexistence of superconductivity and antiferromagnetism in 2D systems with strong electron correlations / V. V. Val’kov, A. O. Zlotnikov // J. Surf. Invest. - 2016. - Vol. 10, Is. 1. - P. 58-67, DOI 10.1134/S1027451016010195. - Cited References: 33. - The work is supported by the Russian Foundation for Basic Research, project nos.13-02-00523 and 15-42-04372. A.O. Zlotnikov is also grateful for the Grant Program for Young PhDs supported by the President of the Russian Federation, project no. SP-1370.2015.5 . - ISSN 1027-4510
Кл.слова (ненормированные):
superconductivity -- antiferromagnetism -- two-dimensional systems -- strong electron correlations -- heavy fermions -- cerium-based intermetallic compounds -- periodic Anderson model
Аннотация: Using the diagram technique for Hubbard operators, the effect of quasi-two-dimensionality and hybridization of the 4f electrons of cerium ions and p electrons of indium ions on the properties of the antiferromagnetic, superconducting, and mixed phases in heavy-fermion intermetallic compounds of cerium is studied. It is shown that taking into account quasi-two-dimensionality, low-energy hybridization processes renormalize the antiferromagnetic and superconducting order parameters in the broken time-reversal symmetry phase. Estimates of the critical temperatures of antiferromagnetic ordering and Cooper instability, obtained by the developed approach, are in good agreement with experimental data for cerium-based intermetallic compounds. © 2016, Pleiades Publishing, Ltd.

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Публикация на русском языке Вальков, Валерий Владимирович. Симметрийные свойства фазы сосуществования сверхпроводимости и антиферромагнетизма в 2D системах с сильными электронными корреляциями [Текст] / В. В. Вальков, A. O. Злотников // Поверхность : Наука, 2016. - № 1. - С. 49-59

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Вальков, Валерий Владимирович
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Val'kov, V. V.
Superconducting phase with the (d + id) order parameter in an ensemble of Hubbard fermions on the triangular lattice / V. V. Val’kov, T. A. Val’kova, V. A. Mitskan // JETP Letters. - 2015. - Vol. 102, Is. 6. - P. 361-366, DOI 10.1134/S0021364015180162. - Cited References: 18. - This work was supported by the Russian Foundation for Basic Research, project nos. 13-02-00523 and 14-02-31237 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary

Аннотация: In the framework of the t–J 1–J 2–V model, the integral equation determining the order parameter Δ(p) of the superconducting phase is derived for an ensemble of strongly correlated fermions on a triangular lattice using the diagram technique for the Hubbard operators. Taking into account the interaction between the Hubbard fermions within two coordination spheres, we demonstrate that the exact analytical solution Δ2(p) of this equation for the superconducting phase with the ((dx2−y2+idxy) symmetry can be expressed as a superposition of two chiral basis functions. This gives rise to a new set of nodal points for the complex parameter Δ2(p). Moreover, at some critical value x c of the charge carrier density, we obtain a gapless phase with six Dirac points. The passing of x through x = x c is accompanied by the topological quantum transition corresponding to the change in the topological parameter Q.

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Публикация на русском языке Вальков, Валерий Владимирович. Сверхпроводящая фаза ансамбля фермионов Хаббарда с киральным (d+id) параметром порядка на треугольной решетке [Текст] / В. В. Вальков, Т. А. Валькова, В. А. Мицкан // Письма в ЖЭТФ : Наука, 2015. - Т. 102 Вып. 5-6. - С. 399-404

Держатели документа:
Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, Russian Federation
Siberian Federal University, Krasnoyarsk, Russian Federation
Reshetnev Siberian State Aerospace University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Val’kova, T. A.; Mitskan, V. A.; Мицкан, Виталий Александрович; Вальков, Валерий Владимирович
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Val'kov, V. V.
Splitting of the spectrum of fermionic excitations in a topological insulator by charge fluctuations / V. V. Val'kov // JETP Letters. - 2021. - Vol. 114, Is. 12. - P. 751-756, DOI 10.1134/S0021364021240097. - Cited References: 22. - This work was supported by the Russian Foundation for Basic Research (project no. 19-02-00348) . - ISSN 0021-3640. - ISSN 1090-6487

РУБ Physics, Multidisciplinary
Рубрики:
HUBBARD FERMIONS
   EDGE STATES
   PHASE
   SURFACE
Аннотация: It is shown that the intersite Coulomb interaction of electrons in a topological insulator leads to the splitting of the initial energy structure and to the induction of two bands of fluctuation states. As a result, the total spectrum of Fermi excitations of the topological insulator has a four-band structure. The dielectric gap is determined by the energy interval between the bottom of the band of fluctuation states of conduction electrons and the top of the valence band of fluctuation states. Since the band of fluctuation states is narrow, quasiparticles with different effective masses appear.

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Публикация на русском языке Вальков, Валерий Владимирович. Расщепление спектра фермиевских возбуждений топологического изолятора зарядовыми флуктуациями [Текст] / В. В. Вальков // Письма в ЖЭТФ. - 2021. - Т. 114 Вып. 12. - С. 812-817

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Fed Res Ctr KSC, Siberian Branch, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Вальков, Валерий Владимирович; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348]
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Val'kov, V. V.
Splitting of the lower subband of Hubbard fermions in the Shubin-Vonsowsky model under the influence of strong intersite correlations / V. V. Val'kov, M. M. Korovushkin // J. Exp. Theor. Phys. - 2011. - Vol. 112, Is. 1. - P. 108-120, DOI 10.1134/S1063776110061056. - Cited References: 26. - We express our deep gratitude to R. O. Zaitsev for numerous remarks and discussions. We are grateful to A. A. Golovnya, A. A. Shklyaev, and V. A. Mitskan for specific advice on the numerical calculations of the mass operator. This work was supported by the "Quantum Condensed Matter Physics" Program of the Presidium of the Russian Academy of Sciences, the Russian Foundation for Basic Research (project no. 10-02-00251), the "Scientific and Scientific-Pedagogical Personnel of Innovational Russian for 2009-2013" Federal Goal-Oriented Program, and the Interdisciplinary Integration Project no. 53 of the Siberian Branch of the Russian Academy of Sciences. One of us (M. K.) thanks Lavrentiev's contest of youth projects of the Siberian Branch of the Russian Academy of Sciences. . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
NARROW ENERGY BANDS
ELECTRON CORRELATIONS
Кл.слова (ненормированные):
Cooper channels -- Cooper instability -- Density of electronic state -- Doping levels -- Electron concentration -- Energy structures -- Hubbard -- Hubbard operators -- Interaction energies -- Intersite correlation -- Mott-Hubbard insulator -- Nonuniform -- Renormalization -- Root mean squares -- Scattering amplitudes -- Spectral intensity -- Split-off band -- Strongly correlated fermions -- Sub-bands -- Doping (additives) -- Superconducting transition temperature
Аннотация: The diagram technique for Hubbard operators is used to investigate the influence of intersite Coulomb interactions on the energy structure and Cooper instability of strongly correlated fermions. Allowance for intersite correlations in doped Mott-Hubbard insulators is shown to lead to a splitting of the lower subband of Hubbard fermions and to the formation of a band of fluctuation states as soon as the intersite interaction energy becomes comparable to or exceeds the mean kinetic energy. The spectral intensity of the splitoff band is proportional to the root-mean-square fluctuation of the occupation numbers and increases with doping level. The predicted effect changes significantly the structure of the density of electronic states. This leads to a renormalization of the pole of the scattering amplitude in the Cooper channel and manifests itself as a nonuniform (in electron concentration) modification of the dependence of the critical superconducting transition temperature.

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Держатели документа:
[Val'kov, V. V.
Korovushkin, M. M.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Val'kov, V. V.] Reshetnev Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia
ИФ СО РАН
Kirensky Institute of Physics, Russian Academy of Sciences, Siberian Branch, Krasnoyarsk 660036, Russian Federation
Reshetnev Siberian State Aerospace University, Krasnoyarsk 660014, Russian Federation

Доп.точки доступа:
Korovushkin, M. M.; Коровушкин, Максим Михайлович; Вальков, Валерий Владимирович
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Val'kov, V. V.
Spin-polarized transport through Majorana bound states in a canted magnetic field / V. V. Val'kov, S. V. Aksenov // VI Euro-Asian Symposium "Trends in MAGnetism" (EASTMAG-2016) : abstracts / ed.: O. A. Maksimova, R. D. Ivantsov. - Krasnoyarsk : KIP RAS SB, 2016. - Ст. O4.1. - P. 221. - References: 3. - This study was supported by the Comprehensive programme SB RAS no.0358-2015-0007, the Russian Foundation for Basic Research, projects nos. 15-42- . - ISBN 978-5-904603-06-9
Кл.слова (ненормированные):
semiconducting wire -- Majorana fermions -- topological superconductivity

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Вальков, Валерий Владимирович; 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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10.

Val'kov, V. V.
Majorana fermions in the coexistence phase of noncollinear magnetic ordering and chiral superconductivity / V. V. Val'kov, A. O. Zlotnikov, M. S. Shustin // Moscow International Symposium on Magnetism (MISM-2017) : 1-7 July 2017 : book of abstracts. - 2017. - Ст. 4RP-D-8. - P. 633

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Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Вальков, Валерий Владимирович; Moscow International Symposium on Magnetism(7 ; 2017 ; Jul. ; Moscow); Московский государственный университет им. М.В. Ломоносова; Российский фонд фундаментальных исследований
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