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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) : 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ovchinnikov S. G., Nikolaev S. V.
Заглавие : Calculation of the Fermi Surface with Complex Topology from Norm-Conserving Cluster Perturbation Theory for Doping Dependent Electronic Structure of the Hubbard Model
Место публикации : JETP Letters. - 2011. - Vol. 93, Is. 9. - P.517-520. - ISSN 0021-3640, DOI 10.1134/S0021364011090116
Примечания : Cited References: 27. - This work was supported by the Presidium of the Russian Academy of Sciences (program no. 18.7); the Russian Foundation for Basic Research (project nos. 09-02-00127, 10-02-90725-mob_st); Siberian Branch, Russian Academy of Sciences (Integration Project no. N40); and the Ministry of Education and Sciences of the Russian Federation (state contract no. P891, Program "Kadry").
Предметные рубрики: QUANTUM OSCILLATIONS
SUPERCONDUCTORS
EVOLUTION
Аннотация: The results of recently developed norm-conserving cluster perturbation theory for doping dependent electronic structure of the Hubbard model are reported. We have found that the momentum distribution of the spectral weight strongly depends on the broadening value delta. At delta = 0.1t, we reproduce the angle-resolved photoemission spectroscopy data, while at delta = 0.01t we obtain two quantum phase transitions. DOI: 10.1134/S0021364011090116
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ivanov D. A., Togushova Y. N., Korshunov M. M.
Заглавие : Changes of the Fermi surface topology in the three-orbital model for iron pnictides with the spin-orbit coupling
Колич.характеристики :9 с
Место публикации : J. Sib. Fed. Univ. Math. Phys. - 2023. - Vol. 16, Is. 6. - P.795-803. - ISSN 19971397 (ISSN); Журн. СФУ. Матем. и физ. - ISSN 23136022 (eISSN)
Примечания : Cited References: 28
Аннотация: Effect of the spin-orbit coupling on the band structure and the Fermi surface of the three-orbital model is studied. The inter-orbital part of the model is reformulated to fully conform with the iron lattice symmetry. Because there are two iron ions in the unit cell, we introduce the intra-and inter-ion spin-orbit coupling constants to separate the effect of the related couplings on the band structure and the Fermi surface. Both the intra-and inter-ion parts lift the degeneracy of some bands at the Γ = (0, 0) point and the splitting of bands along the (0, π) ‒ (π, π) direction of the Brillouin zone. We show that the inter-ion part of the spin-orbit coupling leads to the topological change of the Fermi surface — the splitting of two Fermi surface sheets around the M = (π, π) point.Изучено влияние спин-орбитального взаимодействия на зонную структуру и поверхность Ферми в трехорбитальной модели. Межорбитальная часть модели изменена для полного соответствия с симметрией решетки железа. Из-за наличия двух ионов железа в элементарной ячейке мы вводим внутри- и межионную константы спин-орбитального взаимодействия для разделения эффектов соответствующих взаимодействий на зонную структуру и поверхность Ферми. И внутри, и межионная части снимают вырождение некоторых зон в точке Γ = (0, 0) и вырождение вдоль направления (0, π) − (π, π) зоны Бриллюэна. Показано, что межионная часть спин-орбитального взаимодействия приводит к изменению топологии поверхности Ферми, а именно к разделению листов поверхности Ферми вблизи точки M = (π, π).
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Corner excitations in the 2D triangle-shaped topological insulator with chiral superconductivity on the triangular lattice
Место публикации : J. Phys.: Condens. Matter. - 2020. - Vol. 32, Is. 40. - Ст.405302. - ISSN 09538984 (ISSN), DOI 10.1088/1361-648X/ab9e2f
Примечания : Cited References: 49. - The author thanks D M Dzebisashvili, M S Shustin, V A Mitskan and M M Korovushkin for the fruitful discussions and valuable remarks. The reported study was funded by the Russian Foundation for Basic Research (Projects Nos. 19-02-00348, 19-42-240011) and the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Project MK-1641.2020.2)
Аннотация: The 2D triangle-shaped C 3-symmetric topological insulator with the chiral superconducting coupling on the triangular lattice is investigated. While such a system cannot provide the topologically protected corner excitations, we report the presence of the nontopological corner excitations with energy value to lie in the first-order edge spectrum gap. Though these excitations are not topologically protected, they appear for a rather wide range of the parameters values and are robust against the boundary defects and weak disorder. We reveal the presence of the Majorana corner states, which appear along the line in the parameter space.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pilipchuk A. S., Sadreev A. F.
Заглавие : Desktop laboratory of bound states in the continuum in metallic waveguide with dielectric cavities
Место публикации : Phys. Rev. B. - 2022. - Vol. 106, Is. 7. - Ст.075304. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.106.075304
Примечания : Cited References: 64. - We are grateful to Lujun Huang, Andrey Miroshnichenko and Yi Xu for presentation of unpublished paper and discussions. The research was supported by Russian Science Foundation No. 22-12-00070
Аннотация: We consider dielectric cavities whose radiation space is restricted by two parallel metallic planes. The TM solutions of the Maxwell equations of the system are equivalent to the solutions of periodical arrays of dielectric cavities. The system readily allows to achieve bound states in the continuum (BICs) of any type including topological BICs as dependent on position and orientation of the cavities relative to the planes and that extremely facilitates experimental studies in comparison to infinite arrays of the cavities. We show the effect of merging of topologically protected BICs that pushes the square asymptotic of the Q factor into the power degree 4 or even 6.
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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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ovchinnikov S. G., Shneyder E. I., Korshunov M. M.
Заглавие : From underdoped to overdoped cuprates: two quantum phase transitions
Разночтения заглавия :авие SCOPUS: From underdoped to overdoped cuprates: Two quantum phase transitions
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 2011. - Vol. 23, Is. 4. - Ст.45701. - ISSN 0953-8984, DOI 10.1088/0953-8984/23/4/045701
Примечания : Cited References: 58. - We would like to thank S Sakai for useful discussions. The authors acknowledge support by the Russian Foundation for Basic Research (grant N 09-02-00127), by the Integration Program of SBRAS N40, the Presidium RAS Program 5.7, President of Russia (grant MK-1683.2010.2), FCP Scientific and Research-and-Educational Personnel of Innovative Russia for 2009-2013 (GK P891), and in part by the National Science Foundation under grant NSF PHY05-51164.
Предметные рубрики: HIGH-TEMPERATURE SUPERCONDUCTORS
T-J MODEL
CORRELATED FERMION SYSTEMS
VALENCE BOND STATE
MEAN-FIELD-THEORY
CRITICAL-POINT
HEISENBERG-ANTIFERROMAGNET
EXCITATIONS
PSEUDOGAP
OSCILLATIONS
Ключевые слова (''Своб.индексиров.''): critical concentration--critical points--cuprates--density of state--fermi surface topology--hall effect measurement--high-t--optimal doping--overdoped--pseudo-gap--quantum phase transitions--theoretical study--copper compounds--hall effect--magnetic field effects--phase diagrams--phase transitions
Аннотация: Several experimental and theoretical studies indicate the existence of a critical point separating the underdoped and overdoped regions of the high-T-c cuprates' phase diagram. There are at least two distinct proposals on the critical concentration and its physical origin. The first one is associated with the pseudogap formation for p p*, with p* approximate to 0.2. The other relies on the Hall effect measurements and suggests that the critical point and the quantum phase transition (QPT) take place at optimal doping, p(opt) approximate to 0.16. Here we have performed a precise density of states calculation and found that there are two QPTs and the corresponding critical concentrations associated with the change of the Fermi surface topology upon doping.
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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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Higher-order topological superconductor on the bipartite triangular lattice
Место публикации : Phys. Rev. B. - 2022. - Vol. 105, Is. 15. - Ст.155423. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.105.155423
Примечания : Cited References: 68. - The author thanks M. M. Korovushkin, S. V. Aksenov, M. S. Shustin, V. A. Mitskan, A. O. Zlotnikov, and D. M. Dzebisashvili for the fruitful discussions and valuable remarks. The reported study was funded by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: “Study of edge states in one- and two-dimensional topological superconductors” (Grant No. 20-42-243005)
Аннотация: In order to investigate the possibility of construction of the higher-order topological superconductor on the triangular lattice, the different types of the coupling of chiral topological superconductor edge states are considered. It is demonstrated that the widespread criterion of the topological corner mode's appearance consisting in edge-state effective mass changing at the corner has to be modified in the case of multiple Dirac points in the edge-state spectrum. It is shown that the effective mass must be of the same sign at all Dirac points on one edge adjacent to the corner and be opposite at all the Dirac points on another one. For a two-dimensional system constructed from two chiral topological superconductors on the triangular lattice with inverted bands, two types of interactions leading to the higher-order topological superconducting phase are revealed.
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