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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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Topological phase of coexisting superconductivity and 120-degree magnetic order on a triangular lattice
Место публикации : Bull. Russ. Acad. Sci. Phys. - 2018. - Vol. 82, Is. 5. - P.588-590. - ISSN 10628738 (ISSN), DOI 10.3103/S1062873818050325
Примечания : Cited References: 12. - This study was supported by the Russian Foundation for Basic Research, the Government of Krasnoyarsk krai, and the Krasnoyarsk Territorial Foundation for Science and Technology, project nos. 16-02-00073, 17-42-240441, and 16-42-243069. A.O. Zlotnikov acknowledges the support of the RF Presidential Grant Council, project nos. SP-1370.2015.5 and MK-1398.2017.2.
Ключевые слова (''Своб.индексиров.''): linear combinations--nontrivial topology--self-consistent calculation--spin wave approximation--sublattice magnetization--superconducting order parameters--topological phase--triangular lattice
Аннотация: Using the t–J–V model, self-consistent calculations of the superconducting order parameter described by a linear combination of dx2−y2+idxy and p x + ip y chiral invariants are performed in the phase of coexistence with 120-degree magnetic ordering. Sublattice magnetization is determined in the spin-wave approximation for the case of half-filling. A nontrivial topology of the coexistence phase is demonstrated, testifying to the possibility of obtaining edge states and Majorana modes.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Shustin M. S.
Заглавие : The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120-degree magnetic order on a triangular lattice
Коллективы : Moscow International Symposium on Magnetism
Место публикации : J. Magn. Magn. Mater. - 2018. - Vol. 459. - P.112-117. - ISSN 03048853 (ISSN), DOI 10.1016/j.jmmm.2017.11.115
Примечания : Cited References: 19. - This study was funded by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, and Krasnoyarsk Region Science and Technology Support Fund according to the research projects No. 16-02-00073-a and 16-42-243069-mol-a. A.O.Z. is grateful for the support of the Grant of the President of the Russian Federation SP-1370.2015.5. The work of M.S.S. was supported by the Grant of the President of the Russian Federation MK-1398.2017.2.
Ключевые слова (''Своб.индексиров.''): majorana zero modes--topological invariant--chiral superconductivity--noncollinear magnetic order--triangular lattice
Аннотация: The Z2 topological invariant is defined in the chiral d-wave superconductor having a triangular lattice in the presence of the 120-degree magnetic ordering. Analyzing the Z2 invariant, we determine the conditions of implementing topological phases in the model with regard to superconducting pairings between the nearest and next nearest neighbors. It is often supposed in such a system that the pairing parameter between the nearest neighbors should be equal to zero due to the intersite Coulomb interaction. We show that taking into account even weak pairings in the first coordination sphere leads to the disappearance of the gapless excitations of the bulk spectrum in the wide region of the parameter space. Thus, topological invariants can be defined in this region. In solving the problem of open edges it is shown that the zero energy modes are realized basically in the topologically nontrivial phases. Such zero modes are topologically protected Majorana modes. A connection between the Z2 invariant and the integer topological invariant of the ground state of the 2D lattice is established in the presence of the electron-hole symmetry and noncollinear magnetic ordering.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Shustin M. S.
Заглавие : The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120 degrees magnetic order on a triangular lattice [Electronic resource]
Место публикации : ArXiv. - 2017. - Ст.1707.04422
Вид и объем ресурса: Electronic text data
Примечания : Cited References: 19. - This study was funded by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, and Kranoyarsk Region Science and Techonology Support Fund according to the research projects Nos. 16-02-00073-a (calculation of the topological invariant of a 2D lattice) and 16-42-243069-mol-a (calculation of the Z2 invariant). A.O.Z. is grateful for support of the Grant of the President of the Russian Feeration SP-1370.2015.5. The work of M.S.S. was supported by the Grant of the President of the Russian Federation MK-1398.2017.2.
Ключевые слова (''Своб.индексиров.''): majorana zero modes--topological invariant--chiral superconductivity--noncollinear magnetic order--triangular lattice
Аннотация: The Z2 topological invariant is defined in the chiral d-wave superconductor having a triangular lattice in the presence of the 120 degrees magnetic ordering. By analyzing the Z2 invariant, we determine the conditions of implementing nontrivial phases in the model with regard to superconducting pairings between nearest and next nearest neighbors. It is often supposed in such system that the pairing parameter between nearest neighbors should be equal to zero due to influence of the intersite Coulomb interaction. We show that taking into account even weak pairings in the first coordination sphere leads to the disappearance of the gapless excitations of the bulk spectrum in the wide region of the parameter space. Thus topological invariants can be defined in such region. Solving the problem of open edges it is shown that the zero energy modes are realized basically in the topologically nontrivial phases. Such zero modes are topologically protected Majorana modes. A connection between the Z2 invariant calculated at the symmetric points of the Brillouin zone with respect to the electron-hole symmetry and the integer topological invariant of the ground state of the 2D lattice expressed in terms of the Green functions is established in the presence of noncollinear magnetic ordering.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Stability of the Coexistence Phase of Chiral Superconductivity and Noncollinear Spin Ordering with a Nontrivial Topology and Strong Electron Correlations
Место публикации : JETP Letters. - 2019. - Vol. 109, Is. 11. - P.736-743. - ISSN 00213640 (ISSN), DOI 10.1134/S0021364019110158
Примечания : Cited References: 37. - We are grateful to M.S. Shustin for stimulating discussions. This work was supported by the Russian Foundation for Basic Research (project nos. 19-02-00348-а and 18-32-00443-mol-a); jointly by the Russian Foundation for Basic Research, the Government of Krasnoyarsk Region, and the Krasnoyarsk Region Science and Technology Support Fund (project no. 18-42-243002 “Manifestation of Spin–Nematic Correlations in Spectral Characteristics of the Electronic Structure and Their Effect on the Practical Properties of Cuprate Superconductors”); and by the Presidium of the Russian Academy of Sciences (program no. I.12 “Fundamental Problems of High-Temperature Superconductivity”). A.O.Z. acknowledges the support of the Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific Schools (project no. MK-3594.2018.2).
Аннотация: It has been shown that quantum charge and spin fluctuations in a strongly correlated 2D system with a triangular lattice, significantly renormalizing the magnetic order parameter, do not destroy the coexistence phase of chiral d + id superconductivity and 120° spin ordering. The region of realization of nontrivial topology determined by the topological index N3 holds. It has been shown that edge states for the topologically non-trivial phase include a Majorana mode. The spatial structure of this mode has been determined. It has been found that spin and charge fluctuations shift the critical electron densities at which quantum topological transitions occur. It has been shown that an increase in the intersite Coulomb repulsion reduces the number of such transitions. © 2019, Pleiades Publishing, Inc.
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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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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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Mitskan V. A., Shustin M. S.
Заглавие : Ground-State Fermion Parity and Caloric Properties of a Superconducting Nanowire
Место публикации : J. Exp. Theor. Phys. - 2019. - Vol. 129, Is. 3. - P.426-437. - ISSN 10637761 (ISSN), DOI 10.1134/S1063776119080144
Примечания : Cited References: 74. - This work was supported by the Russian Foundation for Basic Research (project nos. 16-02-00073, 18-32-00443, 18-42-243017, 18-42-243018), the Government of the Krasnoyarsk Kray, the Krasnoyarsk Kray Science Foundation within the scientific projects “Contact Phenomena and Magnetic Disorder in the Formation and Detection of Topologically Protected Edge States in Semiconductor Nanostructures” (project no. 18-42-243018), “Manifestation of Coulomb Interactions and Bounded-Geometry Effects in the Properties of Topological Edge States of Nanostructures with Spin–Orbit Interactions” (project no. 18-42-243017). One of us (Sh. M. S.) thanks the Council for Grants of the Russian President (project nos. MK-3594.2018.2 and MK-3722.2018.2).
Аннотация: Abstract: The ground-state structure and fermion parity have been determined for a semiconductor nano-wire with a strong Rashba spin–orbit interaction and proximity-induced superconductivity placed in an external magnetic field under periodic boundary conditions. Allowance for the open boundaries is shown to cause the topologically nontrivial parameter region to be partitioned into a set of subregions with a different ground-state fermionic parity. This peculiarity is related to the emergence of edge modes with nonmonotonically changing excitation energies in the system as its parameters change. At the quantum transition point, at which the ground-state fermionic parity changes, the edge-mode energy is zero. The magneto- and electrocaloric effects are shown to be effective characteristics that allow the series of quantum transitions in an open nanowire to be identified experimentally. These effects at low temperatures exhibit an anomalous behavior in the parameter region for which topologically stable Majorana modes are realized in long nanowires. © 2019, Pleiades Publishing, Inc.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S., Aksenov S. V.
Заглавие : Features of physical observables of a strongly correlated superconducting nanowire with Rashba spin–orbit interaction
Место публикации : J. Exp. Theor. Phys. - 2022. - Vol. 135, Is. 4. - P.500-512. - ISSN 10637761 (ISSN), DOI 10.1134/S1063776122100181. - ISSN 10906509 (eISSN)
Примечания : Cited References: 66. - This study was supported by the Russian Foundation for Basic Research (project nos. 19-02-00348 and 20-02-00015), the administration of the Krasnoyarsk Kray, the Krasnoyarsk Kray Science Foundation (project nos. 20-42-243001 and 20-42-243005), and the Council for Grants from the President of Russian Federation (projects nos. MK-1641.2020.2 and MK-4687.2022.1). One of the authors (Sh.M.S.) thanks the Foundation for the Development of Theoretical Physics and Mathematics “BASIS”
Аннотация: We analyze the behavior of caloric characteristics and the electron component of the spin polarization of excitations in the regime of strong electron correlations of a nanowire, which is characterized by induced superconductivity of the extended s-type symmetry, the Rashba spin–orbit interaction, and the Zeeman splitting of on-site energy. The problem has been analyzed using the density matrix renormalization group method. It is shown that for unambiguous identification of different phases (the topologically trivial phase with edge excitations and without them, as well as topologically nontrivial phases with one or several pairs of Majorana modes), it is insufficient to analyze each of the aforementioned characteristics separately; it is necessary to consider their features simultaneously.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Rotter I., Sadreev A. F.
Заглавие : Avoided level crossings, diabolic points, and branch points in the complex plane in an open double quantum dot
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2005. - Vol. 71, Is. 3. - Ст.36227. - ISSN 1063-651X, DOI 10.1103/PhysRevE.71.036227
Примечания : Cited References: 49
Предметные рубрики: BERRY TOPOLOGICAL PHASE
EXCEPTIONAL POINTS
GEOMETRIC PHASES
NUCLEAR REACTIONS
RESONANCE STATES
UNIFIED THEORY
S-MATRIX
CONTINUUM
REPULSION
INTERFEROMETER
Ключевые слова (''Своб.индексиров.''): branch points in the complex plane (bpcp)--diabolic points (dp)--geometric phases--riemann sheets--eigenvalues and eigenfunctions--electron energy levels--functions--hamiltonians--quantum theory--resonance--topology--semiconductor quantum dots
Аннотация: We study the spectrum of an open double quantum dot as a function of different system parameters in order to receive information on the geometric phases of branch points in the complex plane (BPCP). We relate them to the geometrical phases of the diabolic points (DPs) of the corresponding closed system. The double dot consists of two single dots and a wire connecting them. The two dots and the wire are represented by only a single state each. The spectroscopic values follow from the eigenvalues and eigenfunctions of the Hamiltonian describing the double dot system. They are real when the system is closed, and complex when the system is opened by attaching leads to it. The discrete states as well as the narrow resonance states avoid crossing. The DPs are points within the avoided level crossing scenario of discrete states. At the BPCP, width bifurcation occurs. Here, different Riemann sheets evolve and the levels do not cross anymore. The BPCP are physically meaningful. The DPs are unfolded into two BPCP with different chirality when the system is opened. The geometric phase that arises by encircling the DP in the real plane, is different from the phase that appears by encircling the BPCP. This is found to be true even for a weakly opened system and the two BPCP into which the DP is unfolded.
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