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1.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Fedoseev A. D., Shustin M. S.
Заглавие : A set of Majorana zero modes on the triangular lattice in the coexistence phase of superconductivity and noncollinear magnetic order
Коллективы : Days of the Condensed Matter University of Bordeaux, Journées de la matiére condensée
Место публикации : The 15th Days of the Condensed Matter (JMC'15): abstracts. - 2016. - P.45
Примечания : 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
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2.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : 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
Место публикации : Bull. Russ. Acad. Sci. Phys.: Allerton Press, 2016. - Vol. 80, Is. 6. - P.616-619. - ISSN 10628738 (ISSN), DOI 10.3103/S106287381606040X
Примечания : Cited References: 9
Ключевые слова (''Своб.индексиров.''): 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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3.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Anomalous Properties and Coexistence of Antiferromagnetism and Superconductivity near a Quantum Critical Point in Rare-Earth Intermetallides
Место публикации : J. Experim. Theor. Phys. - 2013. - Vol. 116, Is. 5. - P.817–822. - DOI 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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4.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zlotnikov A. O., Shustin M. S., Fedoseev A. D.
Заглавие : Aspects of topological superconductivity in 2D systems: Noncollinear magnetism, skyrmions, and higher-order topology
Коллективы : 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"
Место публикации : J. Supercond. Nov. Magn. - 2021. - Vol. 34, Is. 12. - P.3053-3088. - ISSN 1557-1939, DOI 10.1007/s10948-021-06029-z. - ISSN 1557-1947(eISSN)
Примечания : 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"
Предметные рубрики: D-WAVE SUPERCONDUCTIVITY
NON-ABELIAN STATISTICS
CHIRAL SUPERCONDUCTIVITY
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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5.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Coexistence of superconductivity and antiferromagnetism in heavy-fermion intermetallic compound CeRhIn5
Место публикации : J. Supercond. Nov. Magn. - 2013. - Vol. 26, Is. 9. - P.2885-2886. - ISSN 1557-1939, DOI 10.1007/s10948-013-2222-4
Ключевые слова (''Своб.индексиров.''): 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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6.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Coexistence of superconductivity and antiferromagnetism in heavy-fermion intermetallides
Место публикации : Theor. math. phys. - 2013. - Vol. 174, Is. 3. - P.421-437. - DOI 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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7.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Coexistence of the chiral superconductivity and noncollinear magnetic order in the ensemble of Hubbard fermions on a triangular lattice
Место публикации : JETP Letters. - 2016. - Vol. 104, Is. 7. - P.483-488. - ISSN 00213640 (ISSN), DOI 10.1134/S0021364016190127
Примечания : 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).
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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8.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V., Zlotnikov A. O., Fedoseev A. D., Shustin M. S.
Заглавие : Edge states and Majorana modes in condensed matter
Коллективы : Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium, Институт физики им. Л.В. Киренского Сибирского отделения РАН
Место публикации : 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. - ISBN 978-5-904603-06-9 (Шифр -478014040)
Примечания : References: 3
Ключевые слова (''Своб.индексиров.''): majorana fermions--edge states--triangular lattice--honeycomb lattice--electronic transport
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9.

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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10.

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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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Effect of pressure on antiferromagnetic and superconducting ordering in systems with heavy fermions
Коллективы : International Interdisciplinary Symposium “Ordering in Minerals and Alloys” (14th; 8 -13 Sept. 2011; Rostov-on-Don)
Место публикации : Bull. Russ. Acad. Sci.: Phys.: Allerton Press, 2012. - Vol. 76, Is. 7. - P.733-736. - ISSN 0022-2860, DOI 10.3103/S1062873812070362
Примечания : 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.
Ключевые слова (''Своб.индексиров.''): 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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12.

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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13.

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 weak hubbard repulsion on spectrum and transport in higher-order topological superconductor
Коллективы : 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", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : 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. - ISBN 978-5-94469-051-7
Примечания : Cited References: 5. - The study was supported by Russian Science Foundation, project 22-22-20076
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14.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effective interactions in higher-order topological superconductors with strong electron correlations
Коллективы : 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", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : 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. - ISBN 978-5-94469-051-7
Примечания : Cited References: 7. - The study was supported by Russian Science Foundation, project 22-22-20076
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Val’kova T. A.
Заглавие : Effective temperature scattering matrix and kinematic mechanism of cooper instability in antiferromagnetic rare-earth intermetallides
Место публикации : Bull. Russ. Acad. Sci. Phys.: Allerton Press, 2015. - Vol. 79, Is. 6. - P.746-748. - ISSN 1062-8738, DOI 10.3103/S1062873815060349
Примечания : Cited References: 22. - This work was supported by the Presidium of the Russian Academy of Sciences, program no. 20.7; by the Russian Foundation for Basic Research, project no. 13-02-00523; and by regional grant Siberia 13-02-98013.A.O. Zlotnikov acknowledges the support of RF Presidential Grant no. SP-1370.2015.5.
Аннотация: An effective temperature-dependent scattering matrix for a localized subsystem is obtained in the periodic Anderson model by summing itinerant variables in the diagrammatic series of perturbation theory. The effective interaction that occurs in this case can lead to an antiferromagnetic phase, a superconducting phase, and the phase of coexisting superconductivity and antiferromagnetism observed in heavy-fermion intermetallic compounds. © 2015, Allerton Press, Inc.
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gamov, Alexander, Zlotnikov A. O.
Заглавие : Fermion parity of phases supporting multiple Majorana modes in a superconducting nanowire
Колич.характеристики :10 с
Место публикации : J. Sib. Fed. Univ. Math. Phys. - 2023. - Vol. 16, Is. 6. - P.820-829. - ISSN 19971397 (ISSN); Журн. СФУ. Матем. и физ. - ISSN 23136022 (eISSN)
Примечания : Cited References: 22. - Gamov A. acknowledges the support of the Theoretical Physics and Mathematics Advancement Foundation "BASIS"
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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17.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Influence of fluctuations on the coexistence phase of superconductivity and antiferromagnetism in cerium compounds
Коллективы : Moscow International Symposium on Magnetism, Московский государственный университет им. М.В. Ломоносова
Место публикации : Moscow Int. Symp. on Magnet. (MISM-2014): Book of abstracts. - 2014. - Ст.2TL-LT-8. - P.635. - ISBN 978-5-91978-025-0
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Gamov A.
Заглавие : Interplay between magnetism and topology in MnBi2Te4
Колич.характеристики :8 с
Место публикации : JETP Lett. - 2023. - Vol. 118, Is. 5. - P.328-335. - ISSN 00213640 (ISSN), DOI 10.1134/S0021364023602336. - ISSN 10906487 (eISSN)
Примечания : Cited References: 37. - This work was supported by the Russian Science Foundation (project no. 23-22-10021, https://rscf.ru/project/23-22-10021/) and by the Krasnoyarsk Regional Fund of Science
Аннотация: The dependence of the topology of the fermion excitation spectrum on the magnetic state of the system is analyzed taking into account the structure of the Te–Mn–Te trilayer in the Te–Bi–Te–Mn–Te–Bi–Te layer sequence of the MnBi2Te4 van der Waals single crystal, crystal field effects, spin–orbit coupling, and the covalent mixing of electronic states of Mn2+ ions with electronic states of Te2– ions in the strong electron correlation regime. The Chern number in the ferromagnetic phase, which is due to the kinematic interaction between Hubbard fermions, is equal to 1; i.e., the topology of the band structure of the Te–Mn–Te trilayer is nontrivial. The Chern number in the paramagnetic phase is zero; i.e., the topology is trivial. The magnetic moments of Mn2+ ions for the constructed spin orbitals are perpendicular to the layers. The magnetic moments of Mn2+ ions in the nearest layers are antiferromagnetically ordered via the Anderson mechanism.
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19.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Gamov A.
Заглавие : Interplay of ferromagnetism and nontrivial topology in triple layers Te-Mn-Te of MnBi2Te4
Коллективы : "Spin physics, spin chemistry, and spin technology", Internnational conference, Казанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН, Казанский (Приволжский) федеральный университет, Казанский научный центр РАН
Место публикации : Spin physics, Spin chemistry and Spin technology", International conference: abstracts : Kazan science week. - Kazan, 2023. - P.210-211
Примечания : Cited References: 4. - РФН № 23-22-10021 ; Красноярский регион. фонд науки
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20.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Zlotnikov A. O.
Заглавие : Majorana fermions in strongly correlated system with coexisting superconductivity and noncollinear spin ordering
Коллективы : International Conference on Spectroscopies in Novel Superconductors
Место публикации : SNS 2019 Spectroscopies in novel superconductors: Abstract [Program]. - 2019. - Ст.P-MO-31. - P.91
Примечания : 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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