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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Korovushkin M. M., Barabanov A. F.
Заглавие : Influence of the Coulomb repulsions on the formation of the superconducting gap of the spin-polaron quasiparticles in cuprates
Место публикации : J. Low Temp. Phys. - 2019. - Vol. 196, Is. 1-2. - P.242–252. - ISSN 0022-2291, DOI 10.1007/s10909-018-02120-3. - ISSN 1573-7357 eISSN
Примечания : Cited References: 26. - The work was supported by the program of the Presidium of the Russian Academy of Sciences No. 12 “Fundamental problems of high-temperature superconductivity,” the Russian Foundation for Basic Research (Projects Nos. 16-02-00304 and 18-02-00837) and partly by the Government of Krasnoyarsk Region and the Krasnoyarsk Region Science and Technology Support Fund (Projects Nos. 18-42-243002 “Manifestation of spin-nematic correlations in spectral characteristics of electronic structure and their influence on practical properties of cuprate superconductors” and 18-42-243018 “Contact phenomena and magnetic disorder in the problem of the formation and detection of topological edge states in semiconductor nanostructures”), and the grant of the President of the Russian Federation (Project MK-1398.2017.2).
Ключевые слова (''Своб.индексиров.''): cuprate superconductors--intersite coulomb interaction--spin polarons--spin-charge correlations--unconventional superconductivity
Аннотация: Taking into account the real crystalline structure of the CuO2 plane and the strong spin-fermion coupling, the influence of the on-site Coulomb repulsion of holes Up and the intersite Coulomb repulsion V2 between holes located at the next-nearest-neighbor oxygen ions on the formation of the superconducting gap with the d-wave symmetry of the order parameter of the spin-polaron quasiparticles is studied. It is shown that the formation of the resulting superconducting gap within the spin-fermion model is caused by three components. The dependence of the narrowing of the superconducting gap on the values Up and V2 is analyzed.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Dzebisashvili D. M., Korovushkin M. M., Barabanov A. F.
Заглавие : Stability of the superconducting d-wave pairing towards the Coulomb repulsions in cuprate superconductors
Коллективы : International symposium on strong nonlinear vibronic and electronic interactions in solids
Место публикации : VI International symposium on strong nonlinear vibronic and electronic interactions in solids: book of abstracts . - 2018. - P.33
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Dzebisashvili D. M., Korovushkin M. M., Komarov K. K., Barabanov A. F.
Заглавие : Strong Spin-Charge Coupling and Its Manifestation in the Quasiparticle Structure, Cooper Instability, and Electromagnetic Properties of Cuprates
Коллективы : "Fundamental problems in high-temperature superconductivity" of the Presidium of the Russian Academy of Sciences, Russian Foundation for Basic Research [12, 18-02-00837]; Krasnoyarsk Krai Foundation for Supporting the Scientific and Technical Activity [18-42-243002, 18-42-243018, 18-42-240014]; President of the Russian Federation [MK-37.2019.2, MK-3722.2018.2]; Russian Foundation for Basic Research [19-02-00509]
Место публикации : J. Exp. Theor. Phys. - 2019. - Vol. 128, Is. 6. - P.885-898. - ISSN 1063-7761, DOI 10.1134/S1063776119050078. - ISSN 1090-6509(eISSN)
Примечания : Cited References: 83. - This study was supported by the program no. 12 "Fundamental problems in high-temperature superconductivity" of the Presidium of the Russian Academy of Sciences, Russian Foundation for Basic Research (project no. 18-02-00837), the administration of the Krasnoyarsk Krai, Krasnoyarsk Krai Foundation for Supporting the Scientific and Technical Activity under project nos. 18-42-243002 (Manifestations of spin-nematic correlations in spectral characteristics of the electronic structure and their influence on the properties of cuprate superconductors in applications), 18-42-243018 (Contact phenomena and magnetic disorder in the problem of formation and detection of topologically protected edge states in semiconducting nanostructures), and 18-42-240014 (Single-orbital effective model of an ensemble of spin-polaron quasiparticles in the problem of description of the intermediate state and pseudogap behavior of cuprate superconductors), as well as the Council for grants from the President of the Russian Federation (project nos. MK-37.2019.2 and MK-3722.2018.2). The work of A.F.B was supported by the Russian Foundation for Basic Research (project no. 19-02-00509).
Предметные рубрики: HIGH-TEMPERATURE SUPERCONDUCTIVITY
INTERSITE COULOMB REPULSION
Аннотация: The Fermi excitation spectrum, the problem of Cooper instability, and the Londons magnetic field penetration depth in cuprate superconductors are considered using the unified conception based on accounting for the strong coupling between the spin of copper ions and holes at oxygen ions. This coupling leads to strong renormalization of the primary spectrum of oxygen holes with the formation of spin-polaron quasiparticles. Analysis of Cooper instability performed using the spin-polaron concept for different channels has shown that only the superconducting d-wave pairing occurs in the ensemble of spin-polaron quasiparticles, and there are no solutions corresponding to the s-wave pairing. It has been demonstrated that the superconducting d-wave pairing is not suppressed by the Coulomb repulsion of holes located at neighboring oxygen ions. This effect is due to peculiarities in the crystallographic structure of the CuO2 plane and the aforementioned strong spin-fermion coupling. As a result, such interaction of holes is omitted in the kernel of the integral equation for the superconducting order parameter with the d-wave symmetry. It has been shown the Hubbard repulsion of holes and their interaction for the second coordination sphere of the oxygen sublattice for actual intensities of the interaction do not suppress the d-wave type of superconductivity. For the spin-polaron ensemble, we have analyzed the dependence of the Londons magnetic field penetration depth on the temperature and hole concentration. It has been established that the peculiarities of this dependence are closely related to specific features of the spin-polaron spectrum.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Komarov K. K., Dzebisashvili D. M.
Заглавие : Effect of Coulomb repulsion on the London penetration depth in cuprate superconductors [Electronic resource]
Место публикации : ArXiv. - 2019. - Ст.1912.04577
Вид и объем ресурса: Electronic text data
Примечания : Cited References: 55. - The work was financially supported by the Presidium of the Russian Academy of Sciences the Program No.12 ”Fundamental problems of high-temperature superconductivity”, the Russian Foundation for Basic Research (project #18-02-00837, #20-32-70059), the Government of Krasnoyarsk Region, the Krasnoyarsk Regional Science and Technology Support Fund (projects: #18-42-240014 ”One-orbit effective model of an ensemble of spin-polaron quasiparticles in the problem of describing the intermediate state and pseudogap behavior of cuprate superconductors” and #18-42-243002 ”Manifestation of spin-nematic correlations in spectral characteristics of electronic structure and their influence on practical properties of cuprate superconductors”). The work of K.K.K. was supported by the Council for Grants of the President of the Russian Federation (project MK-3722.2018.2).
Предметные рубрики: Superconductivity
Strongly Correlated Electrons
Аннотация: We study the effect of Coulomb repulsion between oxygen holes on the London penetration depth λ based on the concept of spin-polaron nature of Fermi quasiparticles in cuprates superconductors. It is shown that for the generally accepted values of the parameters of the spin-fermion model, taking into account the Coulomb interaction, both the one-site Hubbard Up and interaction between the holes on next-nearest-neighbor oxygen ions V2, allows one to achieve a much better agreement of the calculated temperature dependencies of the value λ−2 with the experimental data in La2−xSrxCuO4 with optimal doping.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Zlotnikov A. O., Shustin M. S.
Заглавие : Majorana modes in BDI-class wire with strong Coulomb correlations [Electronic resource]
Место публикации : ArXiv. - 2019. - Ст.1911.01035
Вид и объем ресурса: Electronic text data
Примечания : Cited References: 55. - We acknowledge fruitful discussions with V.V. Valkov and V.A. Mitskan. The reported study was funded by the RAS Presidium programs for fundamental research Nos. 12 and 32, Russian Foundation for Basic Research (projects Nos. 18-32-00443, 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: ”The manifestation of Coulomb interactions and effects of bounded geometry in the properties of topological edge states of nanostructures with spin-orbit interaction” (No. 18-42-243017), ”Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology” (No. 19-42-240011). S.A. and A.Z. are grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, projects Nos. MK-3722.2018.2, MK-3594.2018.2.
Предметные рубрики: Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Superconductivity
Аннотация: In this study the problem of strong Coulomb interactions in topological superconducting wire is analyzed by means of the density-matrix-renormalization-group (DMRG) approach. To obtain the topological phase diagrams and analyze properties of edge states in the BDI-class structure the quantity called Majorana polarization is used. Its behavior agrees with the entanglement-spectrum degeneracy which has topological nature. The DMRG calculations for the Shubin-Vonsovsky-type model of the wire show the transformation of phases with Majorana single and double modes (MSMs and MDMs, respectively) under the increase of on- and inter-site correlations. In particular, the effects of MSM and MDM robustness as well as their induction are observed. It is shown that in the strongly correlated regime the contributions of single-particle excitations to the Majorana-type states significantly decrease if averaged on-site spin-dependent concentrations have comparable values. Moreover, the t−J∗−V-model is derived allowing to study the effective interactions and improve the DMRG numerics. In order to demonstrate the key role of spin and charge fluctuations in the revealed effects we analytically consider the limiting case of the effective Hamiltonian with infinitely strong on-site repulsion using the Hubbard-I approximation. Finally, the ways to probe the MSMs and MDMs via the features of caloric functions are discussed.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Dzebisashvili D. M., Korovushkin M. M., Barabanov A. F.
Заглавие : Coulomb repulsion of holes and competition between dx2−y2 -wave and s-wave parings in cuprate superconductors
Место публикации : J. Exp. Theor. Phys. - 2017. - Vol. 125, Is. 5. - P.810-821. - ISSN 10637761 (ISSN), DOI 10.1134/S1063776117110085
Примечания : Cited References: 51. - This work was supported by the Russian Foundation for Basic Research, the Government of Kras-noyarsk Region, the Krasnoyarsk Region Science and Technology Support Fund (project nos. 16-42-240435, 16-42-243056, and 16-42-243057), and the Program by the Siberian Branch, Russian Academy of Sciences (project no. 356-2015-0406). The work of A.F.B. was supported by the Russian Foundation for Basic Research (project no. 16-02-00304). The work of M.M.K. was supported by the Council for Grants of the President of the Russian Federation (MK-1398.2017.2).
Ключевые слова (''Своб.индексиров.''): cooper instability--coulomb repulsions--crystallographic structure--inter-site coulomb interactions--order parameter symmetry--quasiparticles--self-consistency equations--super conducting phasis
Аннотация: The effect of the Coulomb repulsion of holes on the Cooper instability in an ensemble of spin–polaron quasiparticles has been analyzed, taking into account the peculiarities of the crystallographic structure of the CuO2 plane, which are associated with the presence of two oxygen ions and one copper ion in the unit cell, as well as the strong spin–fermion coupling. The investigation of the possibility of implementation of superconducting phases with d-wave and s-wave of the order parameter symmetry has shown that in the entire doping region only the d-wave pairing satisfies the self-consistency equations, while there is no solution for the s-wave pairing. This result completely corresponds to the experimental data on cuprate HTSC. It has been demonstrated analytically that the intersite Coulomb interaction does not affect the superconducting d-wave pairing, because its Fourier transform Vq does not appear in the kernel of the corresponding integral equation.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Effect of the intersite Coulomb interaction on chiral superconductivity at the noncollinear spin ordering
Коллективы : 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]
Место публикации : Phys. Solid State. - 2017. - Vol. 59, Is. 11. - P.2120-2126. - ISSN 1063-7834, DOI 10.1134/S1063783417110300. - ISSN 1090-6460(eISSN)
Примечания : 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.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kagan M. Y., Aksenov S. V.
Заглавие : The influence of Coulomb correlations on nonequilibrium quantum transport in quadruple quantum-dot structure
Место публикации : JETP Letters. - 2018. - Vol. 107, Is. 8. - P.493-499. - ISSN 00213640 (ISSN), DOI 10.1134/S0021364018080027
Примечания : Cited References: 32. - We acknowledge fruitful discussions with P.I. Arseyev, N.S. Maslova and V.N. Mantsevich. This work was supported by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund (project nos. 16-02-00073, 17-42-240441, and 17-02-00135). The work of S.A. was supported by the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (project no. MK-3722.2018.2). The publication was prepared by M.K. within the framework of the Academic Fund Program at the National Research University Higher School of Economy in 2017-2018 (project no. 18-05-0024) and by the Russian Academic Excellence Project "5-100."
Аннотация: The description of quantum transport in a quadruple quantum-dot structure (QQD) is proposed taking into account the Coulomb correlations and nonzero bias voltages. To achieve this goal the combination of nonequilibrium Green’s functions and equation-of-motion technique is used. It is shown that the anisotropy of kinetic processes in the QQD leads to negative differential conductance (NDC). The reason of the effect is an interplay of the Fano resonances which are induced by the interdot Coulomb correlations. Different ways to increase the peak-to-valley ratio related to the observed NDC are discussed.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Dzebisashvili D. M., Komarov K. K.
Заглавие : London penetration depth in the ensemble of spin polarons of cuprate superconductors
Коллективы : Russian Foundation for Basic Research (RFBR) [18-02-00837]; Presidium of the Russian Academy of Sciences [12]; Russian Federation [MK-1398.2017.2]; RFBR; Government of Krasnoyarsk Region; Krasnoyarsk Region Science and Technology Support Fund [18-42-243002]
Место публикации : Eur. Phys. J. B. - 2018. - Vol. 91, Is. 11. - Ст.278. - ISSN 1434-6028, DOI 10.1140/epjb/e2018-90266-6. - ISSN 1434-6036(eISSN)
Примечания : Cited References: 82. - We would like to thank V.V. Val'kov, A.F. Barabanov, and M.M. Korovushkin for helpful and stimulating discussions. The work was financially supported by the Russian Foundation for Basic Research (RFBR) (project no. 18-02-00837) and by the program of the Presidium of the Russian Academy of Sciences No. 12 "Fundamental problems of high-temperature superconductivity". The work of K. K. K. was supported by the grant of the President of the Russian Federation (project MK-1398.2017.2) and the RFBR and partly by the Government of Krasnoyarsk Region and the Krasnoyarsk Region Science and Technology Support Fund (project no. 18-42-243002).
Предметные рубрики: INTERSITE COULOMB REPULSION
HIGH-TC SUPERCONDUCTIVITY
NARROW
Ключевые слова (''Своб.индексиров.''): solid state and materials
Аннотация: Within the spin-polaron concept for hole-doped cuprates superconductors the temperature and doping dependence of the London penetration depth λ is studied. To calculate λ we developed a novel approach which (i) does not suppose the analytical expression for the quasiparticle spectrum to be known in advance, and (ii) allows to take into account the strong coupling between a spin localized on the copper ion and a hole residing on the four nearest oxygen ions rigorously. Within this approach the expression for supercurrent density j➝ is obtained in the long-wavelength limit for external magnetic field vector potential. It is shown that j➝ is mainly due to the spin-polaron quasiparticles rather then bare oxygen holes. Temperature dependence of λ−2 at various doping is calculated and compared with available experimental data. It is argued that the inflection point revealed experimentally in the temperature behavior of λ−2 in La1.83Sr0.17CuO4 may be considered as a manifestation of the spin-polaron nature of quasiparticles in cuprates.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Dzebisashvili D. M., Korovushkin M. M., Barabanov A. F.
Заглавие : Stability of the superconducting d-wave pairing toward the intersite Coulomb repulsion in CuO2 plane
Место публикации : J. Low Temp. Phys. - 2018. - Vol. 191, Is. 5-6. - P.408-425. - ISSN 00222291 (ISSN), DOI 10.1007/s10909-018-1882-7
Примечания : Cited References: 70. - Acknowledgements The work was supported by the program of the Presidium of the Russian Academy of Sciences No. 12 “Fundamental problems of high-temperature superconductivity”, the Russian Foundation for Basic Research (RFBR) and partly by the Government of Krasnoyarsk Region and the Krasnoyarsk Region Science and Technology Support Fund (Projects Nos. 16-42-243057 and 16-42-240435). The work of A. F. B. was funded by RFBR (Project No. 16-02-00304). The work of M. M. K. was supported by a grant of the President of the Russian Federation (Project MK-1398.2017.2).
Ключевые слова (''Своб.индексиров.''): cuprate superconductors--unconventional superconductivity--spin-charge coupling--spin polarons--intersite coulomb interaction
Аннотация: Taking into account the real crystalline structure of the CuO2 plane and the strong spin-fermion coupling, we study the influence of the intersite Coulomb repulsion between holes on the Cooper instability of the spin-polaron quasiparticles in cuprate superconductors. The analysis shows that only the superconducting d-wave pairing is implemented in the whole region of doping, whereas the solutions of the self-consistent equations for the s-wave pairing are absent. It is shown that intersite Coulomb interaction V1 between the holes located at the nearest oxygen ions does not affect the d-wave pairing, because its Fourier transform Vq vanishes in the kernel of the corresponding integral equation. The intersite Coulomb interaction V2 of quasiparticles located at the next-nearest oxygen ions does not vanish in the integral equations, however, but it is also shown that the d-wave pairing is robust toward this interaction for physically reasonable values of V2.
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11.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Komarov K. K., Dzebisashvili D. M.
Заглавие : The effect of coulomb repulsion on the london penetration depth in cuprate superconductors
Коллективы : Российская академия наук, Уральское отделение РАН, Институт физики металлов им. М. Н. Михеева Уральского отделения РАН, Уральский федеральный университет им. первого Президента России Б.Н. Ельцина, Российский фонд фундаментальных исследований, Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : Euro-asian symposium "Trends in magnetism" (EASTMAG-2019): Book of abstracts/ чл. конс. ком.: S. G. Ovchinnikov, N. V. Volkov [et al.] ; чл. прогр. ком. D. M. Dzebisashvili [et al.]. - 2019. - Vol. 2. - Ст.H.P2. - P.76. - ISBN 978-5-9500855-7-4 (Шифр В33/E12-125657784)
Примечания : Cited References: 7. - The work was financially supported by the Russian Foundation for Basic Research (RFBR) (project no. 18-02-00837) and by the program of the Presidium of the Russian Academy of Sciences No. 12 ported by the grant of the President of the Russian Federation (projects MK-3722.2018.2) and partly by the Government of Krasnoyarsk Region and the Krasnoyarsk Region Science and Technology Support Fund (projects no. 18-42-240014, 18-42-243002, 18-42-243017)”Fundamental problems of high-temperature superconductivity”. The work of K.K. Komarov was sup
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S., Aksenov S. V.
Заглавие : Effect of strong intersite Coulomb interaction on the topological properties of a superconducting nanowire
Место публикации : Phys. Solid State. - 2022. - Vol. 64, Is. 13. - P.2047-2053. - ISSN 10637834 (ISSN), DOI 10.21883/PSS.2022.13.53972.23s. - ISSN 10906460 (eISSN)
Примечания : Cited References: 55. - This study was supported by the Russian Foundation for Basic Research, the Government of the Krasnoyarsk Territory and the Krasnoyarsk Regional Fund of Science, projects nos. 20-42-243001 and 20-42-243005. M.S.S. thanks the Foundation for the Advancement of Theoretical Physics and Mathematics ”BASIS“. S.V.A. is grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, project No. MK-1641.2020.2
Аннотация: For superconducting nanowire with the pairing of extended s-type symmetry, Rashba spin-orbit interaction in a magnetic field, the influence of strong intersite charge correlations on single-particle Majorana excitations is analyzed. This problem is investigated on the basis of the density matrix renormalization group numerical method. It is shown that with an increase in the repulsion intensity of electrons located at the neighboring sites, two subbands emerge in the lower Hubbard band of the open system. Based on calculations of the Majorana polarization and degeneracy of the entanglement spectrum, it was found that a topologically nontrivial phase with one edge state survives at the edge of each of the subbands where the concentration of electrons or holes is minimal.
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effect of local Coulomb interaction on Majorana corner modes: Weak and strong correlation limits
Место публикации : Phys. Rev. B. - 2023. - Vol. 107, Is. 12. - Ст.125401. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.107.125401. - ISSN 24699969 (eISSN)
Примечания : Cited References: 63. - We acknowledge fruitful discussions with D. M. Dzebisashvili and V. A. Mitskan. The reported study was supported by Russian Science Foundation Project No. 22-22-20076, and Krasnoyarsk Regional Fund of Science
Аннотация: Here we present an analysis of the evolution of Majorana corner modes realizing in a two-dimensional higher-order topological superconductor (HOTSC) on a square lattice under the influence of local Coulomb repulsion. Both weak- and strong-interaction regimes are studied. It is shown that in the homogeneous system, the weak repulsion widens the region of the topologically nontrivial phase on the phase diagram. The open-boundary effect, resulting in spatial inhomogeneity of the system, leads to the appearance of the ground-state crossover as the repulsion intensity increases. Before the crossover, concentration correlators are C4 symmetric and spin independent, and the corner states have energies that are determined by the overlap of the excitation wave functions localized at the different corners. After the crossover, the concentration correlators are spin dependent and possess the spontaneously broken symmetry. In turn, the corner excitation energy is size independent and defined by the Coulomb repulsion intensity with a quadratic law. In the strong-repulsion regime we derive the effective HOTSC Hamiltonian in the atomic representation and found a rich variety of interactions induced by virtual processes between the lower and upper Hubbard subbands. It is shown that Majorana corner modes still can be realized in the limit of the infinite repulsion, although the boundaries of the topologically nontrivial phase are strongly renormalized by Hubbard corrections.
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Modification of topological corner excitations at the interplay of boundary geometry and Coulomb interaction
Колич.характеристики :9 с
Место публикации : J. Phys. Condens. Matter. - 2023. - Vol. 35, Is. 45. - Ст.455301. - ISSN 09538984 (ISSN), DOI 10.1088/1361-648X/aceddf. - ISSN 1361648X (eISSN)
Примечания : Cited References: 35. - The author thanks S V Aksenov and M M Korovushkin for the fruitful discussions and valuable remarks. The reported study was supported by Russian Science Foundation (Project No. 22-22-20076) and Krasnoyarsk Regional Fund of Science
Аннотация: The effect of Coulomb interaction on the 2D second order topological superconductor is investigated taking into account different geometries of the boundary in the mainframe of the mean-field approximation. The spontaneous symmetry breaking, described earlier in Aksenov et al (2023 Phys. Rev.B 107 125401), is found to be robust against the boundary deformation. Meanwhile, the details of the state with spontaneously broken symmetry is found to be dependent on the specific boundary geometry. Considering different types of the boundary of the 2D system, it is demonstrated that the deviation of the electron density in the broken symmetry state is determined by the position of the zero-dimensional (second-order) excitations with nearly zero energy. The critical value of the Coulomb interaction, at which the transition occurs, is found to be determined by the energy of these excitations, which is non-zero due to overlapping of the wave-functions at different corners.
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15.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effect of local coulomb interaction on majorana corner modes
Коллективы : International Conference on Supercondactivity and Magnetism
Место публикации : 8th International conference on supercondactivity and magnetism (ICSM2023): abstract book. - 2023. - P.454
Примечания : Cited References: 4. - РНФ № 22-22-20076
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : On the Dirac mass of Hubbard fermions in strongly correlated higher-order topological superconductor
Колич.характеристики :8 с
Коллективы : Nanophysics and Nanoelectronics, International Symposium
Место публикации : Phys. Solid State. - 2023. - Vol. 65, Is. 7. - С. 1063-1070. - ISSN 10637834 (ISSN), DOI 10.61011/PSS.2023.07.56391.31H. - ISSN 10906460 (eISSN)
Примечания : Cited References: 28. - The study was supported by the Russian Science Foundation (project No. 22-22-20076), and Krasnoyarsk Regional Fund of Science
Аннотация: Majorana corner modes have a number of advantages over the conventional Majorana states in terms of performing topologically protected quantum computations. However, the problem of the influence of Coulomb repulsion on higher-order phases, which inevitably arises when trying to implement such systems in practice, has been poorly studied. In this article, we analyze the features of a topological invariant describing the nontrivial phase with the corner modes for a two-dimensional two-orbital model of a hybrid structure in the regime of extremely strong electron correlations. For this purpose, approximate wave functions of the edge states with a linear dispersion law and the associated Dirac masses, which arise when superconducting pairing in the system is taken into account, are obtained.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Komarov K. K., Dzebisashvili D. M.
Заглавие : Effect of Coulomb repulsion on the London penetration depth in cuprate superconductors
Коллективы : Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [18-02-00837, 20-32-70059]; Government of Krasnoyarsk Region; Krasnoyarsk Regional Science and Technology Support Fund [18-42-240014, 18-42-243002]; Council for Grants of the President of the Russian Federation [MK-1641.2020.2]
Место публикации : Phys. Scr. - 2020. - Vol. 95, Is. 6. - Ст.065806. - ISSN 0031-8949, DOI 10.1088/1402-4896/ab8163. - ISSN 1402-4896(eISSN)
Примечания : Cited References: 57. - The work was financially supported by the Russian Foundation for Basic Research (project #18-02-00837, #20-32-70059), the Government of Krasnoyarsk Region, the Krasnoyarsk Regional Science and Technology Support Fund (projects: #18-42-240014 'One-orbit effective model of an ensemble of spin-polaron quasiparticles in the problem of describing the intermediate state and pseudogap behavior of cuprate superconductors' and #18-42-243002 'Manifestation of spin-nematic correlations in spectral characteristics of electronic structure and their influence on practical properties of cuprate superconductors'). The work of KKK was supported by the Council for Grants of the President of the Russian Federation (project MK-1641.2020.2).
Предметные рубрики: ELECTRONIC-STRUCTURE
SUPERFLUID DENSITY
QUASI-PARTICLES
2-BAND MODEL
Аннотация: We study the effect of Coulomb repulsion between oxygen holes on the London penetration depth λ based on the concept of spin-polaron nature of Fermi quasiparticles in cuprates superconductors. It is shown that for the generally accepted values of the parameters of the spin-fermion model, taking into account the Coulomb interaction, both the one-site Hubbard U p and interaction between holes on the next-nearest-neighbor oxygen ions V 2, allows one to achieve a much better agreement of the calculated temperature dependencies of the value λ −2 with the experimental data in La2−x Sr x CuO4 in a wide range around optimal doping.
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18.

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

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Realization conditions and the magnetic field dependence of corner excitations in the topological insulator with superconducting coupling on the triangular lattice
Коллективы : Russian Foundation for Basic Research, Government of Krasnoyarsk Territory [19-02-00348]; Krasnoyarsk Regional Fund of Science [20-42-243005]; "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" [19-42-240011]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK1641.2020.2]
Место публикации : J. Exp. Theor. Phys. - 2021. - Vol. 133, Is. 1. - P.71-76. - ISSN 1063-7761, DOI 10.1134/S1063776121060029. - ISSN 1090-6509(eISSN)
Примечания : Cited References: 38. - This work was supported by the Russian Foundation for Basic Research (project no. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: "Study of edge states in oneand two-dimensional topological superconductors" (no. 20-42-243005), "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" (no. 19-42-240011), and Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Project MK1641.2020.2)
Предметные рубрики: EDGE
STATES
ORDER
Аннотация: The studies of the topological properties of systems have recently been extended due to a new concept of higher-order topological insulators and superconductors. Many models were proposed for two-dimensional systems on a square lattice, where corner excitations can appear; however, the problem of existence of such excitations in superconducting systems with a triangular crystal lattice is still poorly understood. Using a topological insulator in the form of a triangle with a chiral superconducting order parameter as an example, we shows that corner excitations can exist in C3-symmetric systems. In spite of a nontopological character, these excitations have energies inside the gap of the first-order edge excitation spectrum over a wide parameter range and are well localized at the corners of the system. Gapless corner excitations are shown to exist in the system at certain parameters. The application of a magnetic field in the system plane removes the triple degeneracy of the corner excitation energy and makes it possible to control the position of the minimum-energy corner excitation using a magnetic field. At the same time the fine adjustment to achieve the gapless excitations at the chosen corner can be made with changing of the magnetic field value.
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Shustin M. S., Aksenov S. V., Zlotnikov A. O., Fedoseev A. D., Mitskan V. A., Kagan M. Yu.
Заглавие : Topological superconductivity and Majorana states in low-dimensional systems
Место публикации : Phys.-Usp. - 2022. - Vol. 65, Is. 1. - P.2-39. - ISSN 10637869 (ISSN), DOI 10.3367/UFNe.2021.03.038950
Примечания : 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
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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