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Zlotnikov, A. O.
Aspects of topological superconductivity in 2D systems: Noncollinear magnetism, skyrmions, and higher-order topology / A. O. Zlotnikov, M. S. Shustin, A. D. Fedoseev // J. Supercond. Nov. Magn. - 2021. - Vol. 34, Is. 12. - P. 3053-3088, DOI 10.1007/s10948-021-06029-z. - Cited References: 230. - The study was funded by the Russian Foundation for Basic Research (Project No. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science (Grants No. 19-42240011, 20-42-243001). A.O.Z. and M.S.S. are grateful to the support of the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" . - ISSN 1557-1939. - ISSN 1557-1947

РУБ Physics, Applied + Physics, Condensed Matter
Рубрики:
D-WAVE SUPERCONDUCTIVITY
NON-ABELIAN STATISTICS
CHIRAL SUPERCONDUCTIVITY
Кл.слова (ненормированные):
Topological superconductivity -- Majorana fermions -- Noncollinear magnetism -- Magnetic skyrmion -- Higher-order topology
Аннотация: The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range noncollinear spin ordering or magnetic skyrmions. Another purpose is to give a brief introduction to the new concept of topological superconductivity, i.e. higher-order topology in two-dimensional systems including spin-orbit coupled structures. The formation of Majorana modes due to magnetic textures is discussed. The role of effective triplet pairings and odd fermion parity of the ground state wave function in different systems is emphasized. We describe the peculiarities of the magnetic skyrmions, leading to the formation of the Majorana modes and defects on which the modes are localized. The problem of braiding in the two-dimensional systems, especially in higher-order topological superconductors, is considered.

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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Shustin, M. S.; Шустин, Максим Сергеевич; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Злотников, Антон Олегович; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348]; Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [19-42240011, 20-42-243001]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS"
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Wannier-Stark states of a quantum particle in 2D lattices / M. . Gluck [et al.] // Phys. Rev. Lett. - 2001. - Vol. 86, Is. 14. - P. 3116-3119, DOI 10.1103/PhysRevLett.86.3116. - Cited References: 18 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:
BLOCH PARTICLE
   AC FIELDS
   LADDERS
   DC
   SUPERLATTICES
   STATISTICS
   ELECTRONS
   LIFETIME
Аннотация: A simple method of calculating the Wannier-Stark resonances in 2D lattices is suggested. Using this method we calculate the complex Wannier-Stark spectrum for a nonseparable 2D potential realized in optical lattices and analyze its general structure. The dependence of the lifetime of Wannier-Stark states on the direction of the static field (relative to the crystallographic axis of the lattice) is briefly discussed.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Gluck, M.; Keck, F.; Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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    Val'kov, V. V.
    Electronic spin polarization in the Majorana bound state in one-dimensional wires / V. V. Val'kov, S. V. Aksenov // J. Magn. Magn. Mater. - 2017. - Vol. 440. - P. 112-115, DOI 10.1016/j.jmmm.2016.10.155. - Cited References: 22. - This work was financially supported by the Comprehensive programme SB RAS no. 0358-2015-0007, and the RFBR, projects nos. 15-42-04372, 16-02-00073, 16-42-242036 and partly by Government of Krasnoyarsk Region. . - ISSN 0304-8853
   Перевод заглавия: Электронная спиновая поляризация в майорановском связанном состоянии в одномерных проволоках

РУБ Materials Science, Multidisciplinary + Physics, Condensed Matter
Рубрики:
NON-ABELIAN STATISTICS
FERMIONS
Кл.слова (ненормированные):
Majorana bound state -- Topological superconductivity -- Spin polarization
Аннотация: We have studied the effect of magnetic field and disorder on the electronic z-spin polarization at the ends of the one-dimensional wire with strong Rashba spin-orbit coupling deposited on an s-wave superconductor. It was shown that in the topologically nontrivial phase the polarization as well as the energy of the Majorana bound state oscillate as a function of the magnetic field. Despite being substantially nonzero in the low transversal and longitudinal fields the polarization at one of the wire's ends is significantly suppressed at a certain range of the magnitudes and angles of the canted magnetic field. Thus, in this case the polarization cannot be regarded as a local order parameter. However, the sum of the absolute values of the polarization at both ends remains significantly nonzero. It was demonstrated that Anderson disorder doesn't seriously affect observed properties but leads to the appearance of the additional areas with weak spin polarization at the high magnetic fields.

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Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Вальков, Валерий Владимирович; Euro-Asian Symposium "Trends in MAGnetism"(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); "Trends in MAGnetism", Euro-Asian Symposium(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); Институт физики им. Л.В. Киренского Сибирского отделения РАН
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    Superconductivity in repulsive fermi-systems at low density / M. Y. Kagan [et al.] // J. Supercond. Nov. Magn. - 2013. - Vol. 26, Is. 9. - P. 2809-2815, DOI 10.1007/s10948-013-2262-9. - Cited References: 57. - The authors acknowledge helpful discussions with A. V. Chubukov, A. S. Alexandrov, V. V. Kabanov, K. I. Kugel, Yu. V. Kopaev, N.M. Plakida, N.V. Prokof'ev, M. M. Korovushkin, M. A. Mitskan. M. Yu. K. work was supported by RFBR grant No. 11-02-00741. . - ISSN 1557-1939
   Перевод заглавия: Сверхпроводимость в Ферми-системах с отталкиванием при малых концентрациях

РУБ Physics, Applied + Physics, Condensed Matter
Рубрики:
T-J MODEL
   SUPERFLUID TRANSITION-TEMPERATURE
   FRACTIONAL-STATISTICS
   PHASE-SEPARATION
   HUBBARD-MODEL
   GAS
   ENHANCEMENT
   MECHANISM
   EXCHANGE
   PARTICLES
Кл.слова (ненормированные):
Anomalous superconductivity -- p-wave and d-wave pairings -- Kohn-Luttinger mechanism -- Shubin-Vonsovsky -- Hubbard and t-J models
Аннотация: In the large variety of models such as 3D and 2D Fermi-gas model with hard-core repulsion, 3D and 2D Hubbard model, and the Shubin-Vonsovsky model, we demonstrate the possibility of triplet p-wave pairing at low electron density. We show that the critical temperature of the p-wave pairing can be strongly increased in a spin-polarized case or in a two-band situation already at low density and reach experimentally feasible values of (1-5) K. We also discuss briefly d-wave pairing and high-T-C superconductivity with T-C similar to 100 K, which arises in the 2D t-J model in the range of parameters realistic for cuprates.

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Держатели документа:
PL Kapitsa Phys Problems Inst, Moscow 119334, Russia
Leibniz Inst Solid State & Mat Res, D-01171 Dresden, Germany
Hofstra Univ, Dept Phys & Astron, Hempstead, NY 11549 USA
Kirenskii Inst Phys, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Kagan, M. Y.; Efremov, D. V.; Mar'enko, M. S.; Val'kov, V. V.; Вальков, Валерий Владимирович; RFBR [11-02-00741]
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SHAPIRO, V. E.
NEW METHOD AND EXACT-SOLUTIONS FOR WAVES IN RANDOM-MEDIA / V. E. SHAPIRO // Phys. Lett. A. - 1992. - Vol. 162, Is. 4. - P. 309-312, DOI 10.1016/0375-9601(92)90022-E. - Cited References: 14 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
RADIATIVE TRANSPORT-THEORY
   POWER STATISTICS
   ONE-DIMENSION
   PROPAGATION
Аннотация: A method based on the kinetic equations for Markov processes is found which is effective within as well as beyond the scope of conventional restrictions - one-dimensional stochastic equations with given initial conditions. For the first time the problem of finding averages for linear systems with nonadditive random influence, typical models of the theory of wave propagation in random media, is solved to obtain exact solutions.

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Держатели документа:
L.V. Kirenski Institute of Physics, Krasnoyarsk, 660036, Russian Federation
ИФ СО РАН
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Sadreev, A. F.
Current statistics for wave transmission through an open Sinai billiard: Effects of net currents / A. F. Sadreev, K. F. Berggren // Phys. Rev. E. - 2004. - Vol. 70, Is. 2. - Ст. 26201, DOI 10.1103/PhysRevE.70.026201. - Cited References: 27 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
EIGENVECTOR STATISTICS
   OPEN SYSTEMS
   EIGENFUNCTIONS
   CHAOS
   FLUCTUATIONS
   CROSSOVER
   ELECTRONS
   INTENSITY
Кл.слова (ненормированные):
Acoustic wave transmission -- Boundary conditions -- Computer simulation -- Continuum mechanics -- Current density -- Fermi level -- Mathematical transformations -- Microwaves -- Probability density function -- Quantum theory -- Random processes -- Reverberation -- Statistical methods -- Surface waves -- Waveguides -- Microwave cavities -- Poynting vector -- Sinai billiard -- Wave functions -- Cavity resonators
Аннотация: Transport through quantum and microwave cavities is studied by analytic and numerical techniques. In particular, we consider the statistics for a finite net probability current (Poynting vector) flowing through an open ballistic Sinai billiard to which two opposite leads/wave guides are attached. We show that if the net probability current is small, the scattering wave function inside the billiard is well approximated by a Gaussian random complex field. In this case, the current statistics are universal and obey simple analytic forms. For larger net currents, these forms still apply over several orders of magnitudes. However, small characteristic deviations appear in the tail regions. Although the focus is on electron and microwave billiards, the analysis is relevant also to other classical wave cavities as, for example, open planar acoustic reverberation rooms, elastic membranes, and water surface waves in irregularly shaped vessels.

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Держатели документа:
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Astafev Krasnoyarsk Pedag Univ, Krasnoyarsk 660049, Russia
ИФ СО РАН
Department of Physics, Linkoping University, S-581 83 Linkoping, Sweden
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Astaf'ev Krasnoyarsk Pedagogical U., 660049 Lebedeva, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Berggren, K. F.; Садреев, Алмаз Фаттахович
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Sadreev, A. F.
Current statistics for transport through rectangular and circular billiards / A. F. Sadreev // Phys. Rev. E. - 2004. - Vol. 70, Is. 1. - Ст. 16208, DOI 10.1103/PhysRevE.70.016208. - Cited References: 21 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
ELECTRON-TRANSPORT
   QUANTUM CHAOS
   NODAL POINTS
   RANDOM WAVES
   STREAMLINES
Кл.слова (ненормированные):
Bessel functions -- Current density -- Eigenvalues and eigenfunctions -- Electric potential -- Mathematical models -- Microwaves -- Parameter estimation -- Poisson distribution -- Probability -- Scattering -- Gaussian distribution -- Microwave transmission -- Resonant transmission -- Scattering functions -- Quantum theory
Аннотация: We consider the statistics of currents for electron (microwave) transmission through rectangular and circular billiards. For the resonant transmission the current distribution is describing by the universal distribution [ A. I. Saichev , J. Phys. A 35, L87 (2002) ]. For the more typical case of nonresonant transmission the current statistics reveals features of the current channeling (corridor effect) interior of the billiard. The numerical statistics is compared with analytical distributions.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
Astafev Krasnoyarsk Pedag Univ, Krasnoyarsk 660049, Russia
ИФ СО РАН
L.V. Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation
Department of Physics, Linkoping University, S-581 83 Linkoping, Sweden
Astaf'ev Krasnoyarsk Pedagogical U., Krasnoyarsk 660049, Russian Federation

Доп.точки доступа:
Садреев, Алмаз Фаттахович
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Pichugin, K.
Effective coupling for open billiards / K. . Pichugin, H. . Schanz, P. . Seba // Phys. Rev. E. - 2001. - Vol. 64, Is. 5. - Ст. 56227, DOI 10.1103/PhysRevE.64.056227. - Cited References: 30 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
QUANTUM CHAOTIC SCATTERING
   MICROWAVE CAVITY
   RESONANCE POLES
   QUANTIZATION
   STATISTICS
   DYNAMICS
   FORMULA
   SYSTEMS
   STATES
Аннотация: We derive an explicit expression for the coupling constants of individual eigenstates of a closed billiard that is opened by attaching a waveguide. The Wigner time delay and the resonance positions resulting from the coupling constants are compared to an exact numerical calculation. Deviations can be attributed to evanescent modes in the waveguide and to the finite number of eigenstates taken into account. The influence of the shape of the billiard and of the boundary conditions at the mouth of the waveguide are also discussed. Finally we show that the mean value of the dimensionless coupling constants tends to the critical value when the eigenstates of the billiard follow random-matrix theory.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Acad Sci Czech Republ, Inst Phys, Prague, Czech Republic
Univ Gottingen, Inst Nichtlineare Dynam, D-37073 Gottingen, Germany
Max Planck Inst Stromungsforsch, D-37073 Gottingen, Germany
Pedag Univ, Dept Phys, Hradec Kralove, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Schanz, H.; Seba, P.
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Maksimov, D. N.
Statistics of nodal points of in-plane random waves in elastic media / D. N. Maksimov, A. F. Sadreev // Phys. Rev. E. - 2008. - Vol. 77, Is. 5. - Ст. 56204, DOI 10.1103/PhysRevE.77.056204. - Cited References: 39 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
PHASE SINGULARITIES
   SPECTRAL STATISTICS
   FIELDS
   BILLIARDS
   PATTERNS
Кл.слова (ненормированные):
Chaotic systems -- Correlation methods -- Navier Stokes equations -- Random processes -- Statistics -- Elastic media -- In-plane random waves -- Navier-Cauchy equations -- Nodal points (NP) -- Electromagnetic waves
Аннотация: We consider the nodal points (NPs) u=0 and v=0 of the in-plane vectorial displacements u=(u,v) which obey the Navier-Cauchy equation. Similar to the Berry conjecture of quantum chaos, we present the in-plane eigenstates of chaotic billiards as the real part of the superposition of longitudinal and transverse plane waves with random phases. By an average over random phases we derive the mean density and correlation function of NPs. Consequently we consider the distribution of the nearest distances between NPs.

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Держатели документа:
[Maksimov, Dmitrii N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Максимов, Дмитрий Николаевич
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10.

Maksimov, D. N.
Gaussian random waves in elastic media / D. N. Maksimov, A. F. Sadreev // JETP Letters. - 2007. - Vol. 86, Is. 9. - P. 584-588, DOI 10.1134/S0021364007210060. - Cited References: 22 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
STATISTICAL PROPERTIES
SPECTRAL STATISTICS
CHAOS
Аннотация: Similar to the Berry conjecture of quantum chaos, an elastic analogue which incorporates longitudinal and transverse elastic displacements with corresponding wave vectors is considered. The correlation functions are derived for the amplitudes and intensities of elastic displacements. A comparison to the numerics in a quarter-Bunimovich stadium demonstrates excellent agreement.

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Держатели документа:
[Maksimov, D. N.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
[Sadreev, A. F.] Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Department of Physics and Measurement Technology, Linkoping University, SE-581 83 Linkoping, Sweden

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Максимов, Дмитрий Николаевич
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