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Aksenov, S. V.
Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI / S. V. Aksenov, A. O. Zlotnikov, M. S. Shustin // Phys. Rev. B. - 2020. - Vol. 101, Is. 12. - Ст. 125431, DOI 10.1103/PhysRevB.101.125431. - 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). . - ISSN 2469-9950. - ISSN 2469-9969

РУБ Materials Science, Multidisciplinary + Physics, Applied + Physics, Condensed Matter
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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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Аксенов, Сергей Владимирович; 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]
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Bulgakov, E. N.
Spin polarized bound states in the continuum in open Aharonov-Bohm rings with the Rashba spin-orbit interaction / E. N. Bulgakov, A. F. Sadreev // J. Phys.: Condens. Matter. - 2016. - Vol. 28, Is. 26. - Ст. 265301, DOI 10.1088/0953-8984/28/26/265301. - Cited References:59. - This work has been supported by Russian Science Foundation through grant 14-12-00266. We acknowledge discussions with D N Maksimov and K N Pichugin. . - ISSN 0953-8984. - ISSN 1361-648X

РУБ Physics, Condensed Matter
Рубрики:
Degenerate states
   Nuclear reactions
   Unified theory
   Quantum
   Transport
   Dynamics
   Decay
Кл.слова (ненормированные):
Aharonov-Bohm ring -- Rashba spin-orbit interaction -- bound states in the continuum
Аннотация: We consider the trapping of electrons with a definite spin polarization by bound states in the continuum (BSC) in the open Aharonov-Bohm rings in the presence of the Rashba spin-orbit interaction (RSOI). Neglecting the Zeeman term we show the existence of BSCs in the one-dimensional ring when the eigenstates of the closed ring are doubly degenerate. With account of the Zeeman term BSCs occur only at the points of threefold degeneracy. The BSCs are found in the parametric space of flux and RSOI strength in close pairs with opposite spin polarization. Thereby the spin polarization of electrons transmitted through the ring can be altered by minor variation of magnetic or electric field at the vicinity of these pairs. Numerical simulations of the two-dimensional open ring show similar results for the BSCs. Encircling the BSC points in the parametric space of the flux and the RSOI constant gives rise to a geometric phase.

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Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia.

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Science Foundation [14-12-00266]
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    Sadreev, A. F.
    Gate controlled resonant widths in double-bend waveguides: bound states in the continuum / A. F. Sadreev, D. N. Maksimov, A. S. Pilipchuk // J. Phys.: Condens. Matter. - 2015. - Vol. 27, Is. 29. - Ст. 295303, DOI 10.1088/0953-8984/27/29/295303. - Cited References:52. - This work is supported by the Russian Science Foundation through Grant No. 14-12-00266. AS is grateful K-F Berggren for discussions. . - ISSN 0953. - ISSN 1361-648X
   Перевод заглавия: Управление резонансными ширинами в двух-коленных волноводах: связанные состояния в континууме

РУБ Physics, Condensed Matter
Рубрики:
CIRCULAR BENDS
   NUCLEAR REACTIONS
   FANO RESONANCES
   UNIFIED THEORY
   QUANTUM
   TRANSMISSION
   TRANSPORT
   SYSTEMS
Кл.слова (ненормированные):
double-bent waveguide -- effective non-Hermittian Hamiltonian -- bound -- states in the continuum
Аннотация: We consider quantum transmission through double-bend Pi- and Z-shaped waveguides controlled by the finger gate potential. Using the effective non-Hermitian Hamiltonian approach we explain the resonances in transmission. We show a difference in transmission in the short waveguides that is the result of different chirality in Z and Pi waveguides. We demonstrate that the potential selectively affects the resonant widths resulting in the occurrence of bound states in the continuum.

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Держатели документа:
Russian Acad Sci, Siberian Branch, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660080, Russia.

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Садреев, Алмаз Фаттахович; Russian Science Foundation [14-12-00266]
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    Maksimov, D. N.
    Escape dynamics of a Bose-Hubbard dimer out of a trap / D. N. Maksimov, A. R. Kolovsky // Phys. Rev. A. - 2014. - Vol. 89, Is. 6. - Ст. 063612, DOI 10.1103/PhysRevA.89.063612. - Cited References: 53. - The authors acknowledge financial support of Russian Academy of Sciences through the SB RAS integration project No. 29 Dynamics of Atomic Bose-Einstein Condensates in Optical Lattices. . - ISSN 1050-2947. - ISSN 1094-1622
   Перевод заглавия: Динамика туннелирования димера Бозе-Хаббарда из потенциальной ямы

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
ULTRACOLD GASES
   OPTICAL LATTICE
   QUANTUM
   DECAY
Аннотация: We consider a potential scattering of a Bose-Hubbard dimer in a one-dimensional optical lattice. A numerical approach based on an effective non-Hermitian Hamiltonian has been developed for solving the scattering problem. It allows us to compute the tunneling and dissociation probabilities for an arbitrary shape of the potential barrier and an arbitrary kinetic energy of the dimer. The developed approach has been used to address the problem of two-particle decay out of a trap. In particular, it is shown that the presence of dissociation channels significantly decreases the nonescape probability due to single-particle escape to those channels.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Максимов, Дмитрий Николаевич; Russian Academy of Sciences [29]
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Val'kov, V. V.
Effects of multiple reflection in the process of inelastic electron transport through an anisotropic magnetic atom / V. V. Val'kov, S. V. Aksenov, E. A. Ulanov // JETP Letters. - 2013. - Vol. 98, Is. 7. - P. 403-409, DOI 10.1134/S0021364013200162. - Cited References: 27. - This work was supported by the Presidium of the Russian Academy of Sciences (program "Quantum Mesoscopic and Disordered Systems"), the Ministry of Education and Science of Russian Federation (state contract no. 16.740.11.0644, federal program "Human Capital for Science and Education in Innovative Russia" for 2009-2013), and the Russian Foundation for Basic Research (project nos. 12-02-31130, 13-02-00523, and 13-02-98013). 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 nos. MK-526.2013.2 and SP-6361.2013.5. . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
QUANTUM
SPECTROSCOPY
STATE
Аннотация: The effect of multiple reflection in the process of electron transport on the current-voltage characteristics of an adsorbed magnetic atom with single-ion anisotropy has been investigated. All orders of the perturbation theory with respect to the parameter of coupling between the contacts and the multilevel impurity have been taken into account by the Keldysh diagram technique with the use of Hubbard operators. It has been shown that the current-voltage characteristics of the system in a strongly nonequilibrium regime contains regions of negative differential conductance. The ways of enhancing this effect are discussed.

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Публикация на русском языке Эффекты многократного отражения при неупругом электронном транспорте через анизотропный магнитный атом. - [S. l. : s. n.]

Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Ulanov, E. A.; Вальков, Валерий Владимирович; Presidium of the Russian Academy of Sciences; Ministry of Education and Science of Russian Federation [16.740.11.0644]; Russian Foundation for Basic Research [12-02-31130, 13-02-00523, 13-02-98013]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools [MK-526.2013.2, SP-6361.2013.5]
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Sadreev, A. F.
Feshbach projection formalism for transmission through a time-periodic potential / A. F. Sadreev // Phys. Rev. E. - 2012. - Vol. 86, Is. 5. - Ст. 56211, DOI 10.1103/PhysRevE.86.056211. - Cited References: 33 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
NUCLEAR REACTIONS
   UNIFIED THEORY
   QUANTUM
   FIELD
   SCATTERING
   SYSTEM
   STATES
Аннотация: The Feshbach projection formalism is applied to consider quantum transmission through a tight-binding wire subject to a time-periodic potential. The wire is coupled with two leads via the coupling constant v(C). The periodicity of the potential implies an additional temporal dimension that reduces the problem to stationary transmission through an effectively two-dimensional lattice system. The non-Hermitian effective Hamiltonian is formulated. Thist allows us to trace the redistribution of resonance positions and resonance widths with the growth of v(C) from the weak-coupling to the strong-coupling regime.

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Доп.точки доступа:
Садреев, Алмаз Фаттахович
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Nonanalytic Spin Susceptibility of a Fermi Liquid: The Case of Fe-Based Pnictides / M. M. Korshunov [et al.] // Phys. Rev. Lett. - 2009. - Vol. 102, Is. 23. - Ст. 236403, DOI 10.1103/PhysRevLett.102.236403. - Cited References: 41. - We thank R. Klingeler for useful discussions. M. M. K. acknowledges support from RFBR ( 09-02-00127) and the OFN RAS program on "Strong electronic correlations". I. E. acknowledges partial support from APCTP, NSF-DMR ( 0645461), and the RMHE Program ( Contract No. 2.1.1/3199). D. L. M. acknowledges support from Laboratoire de Physique des Solides, Universite Paris-Sud ( France) and RTRA Triangle de la Physique. A. V. C. acknowledges support from NSF-DMR 0604406. . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:
PHASE-TRANSITIONS
QUANTUM
Кл.слова (ненормированные):
Electron pockets -- Fermi energy -- Linear temperature dependence -- Pnictides -- Prefactor -- Quantitative agreement -- Spin susceptibility -- Temperature dependence -- Fermi liquids -- Fermions -- Liquids -- Magnetic susceptibility -- Temperature distribution -- Spin dynamics
Аннотация: We propose an explanation of the peculiar linear temperature dependence of the uniform spin susceptibility chi(T) in ferropnictides. We argue that the linear in T term appears to be due to the nonanalytic temperature dependence of chi(T) in a two-dimensional Fermi liquid. We show that the prefactor of the T term is expressed via the square of the spin-density-wave (SDW) amplitude connecting nested hole and electron pockets. Because of an incipient SDW instability, this amplitude is large, which, along with a small value of the Fermi energy, makes the T dependence of chi(T) strong. We demonstrate that this mechanism is in quantitative agreement with the experiment.

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Держатели документа:
[Korshunov, M. M.
Eremin, I.] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[Korshunov, M. M.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Eremin, I.] Tech Univ Carolo Wilhelmina Braunschweig, Inst Math & Theoret Phys, D-38106 Braunschweig, Germany
[Efremov, D. V.] Tech Univ Dresden, Inst Theoret Phys, D-01062 Dresden, Germany
[Maslov, D. L.] Univ Florida, Dept Phys, Gainesville, FL 32611 USA
[Chubukov, A. V.] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA
ИФ СО РАН
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany
L. V. Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, 660036 Krasnoyarsk, Russian Federation
Institute fur Mathematische und Theoretische Physik, Technische Universitat Braunschweig, 38106 Braunschweig, Germany
Institut fur Theoretische Physik, Technische Universitat Dresden, 01062 Dresden, Germany
Department of Physics, University of Florida, Gainesville, FL 32611, United States
Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, United States
Kazan State University, 420087 Kazan, Russian Federation

Доп.точки доступа:
Korshunov, M. M.; Коршунов, Максим Михайлович; Eremin, I.; Efremov, D. V.; Maslov, D. L.; Chubukov, A. V.; RFBR [09-02-00127]; OFN RAS; APCTP; NSF-DMR [0645461, 0604406]; RMHE [2.1.1/3199]; Laboratoire de Physique des Solides, Universite Paris-Sud (France); RTRA Triangle de la Physique
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Bound states in the continuum in open Aharonov-Bohm rings / E. N. Bulgakov [et al.] // JETP Letters. - 2006. - Vol. 84, Is. 8. - P. 430-435, DOI 10.1134/S0021364006200057. - Cited References: 33 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
WAVE-GUIDE
   QUANTUM
   TRANSMISSION
   SCATTERING
   BILLIARDS
   ELECTRON
Аннотация: Using the formalism of the effective Hamiltonian, we consider bound states in a continuum (BIC). They are nonhermitian effective Hamiltonian eigenstates that have real eigenvalues. It is shown that BICs are orthogonal to open channels of the leads, i.e., disconnected from the continuum. As a result, BICs can be superposed to a transport solution with an arbitrary coefficient and exist in a propagation band. The one-dimensional Aharonov-Bohm rings that are opened by attaching single-channel leads to them allow exact consideration of BICs. BICs occur at discrete values of the energy and magnetic flux; however, it's realization strongly depends on the way to the BIC point.

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Держатели документа:
Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Rotter, I.
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Kolovsky, A. R.
New Bloch period for interacting cold atoms in 1D optical lattices / A. R. Kolovsky // Phys. Rev. Lett. - 2003. - Vol. 90, Is. 21. - Ст. 213002, DOI 10.1103/PhysRevLett.90.213002. - Cited References: 19 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:
QUANTUM
   TRANSITION
   SUPERFLUID
   INSULATOR
Аннотация: This paper studies Bloch oscillations of ultracold atoms in an optical lattice, in the presence of atom-atom interactions. A new, interaction-induced Bloch period is identified. Analytical results are corroborated by realistic numerical calculations.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Коловский, Андрей Радиевич
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10.

Berggren, K. F.
Crossover from regular to irregular behavior in current flow through open billiards / K. F. Berggren, A. F. Sadreev, A. A. Starikov // Phys. Rev. E. - 2002. - Vol. 66, Is. 1. - Ст. 16218, DOI 10.1103/PhysRevE.66.016218. - Cited References: 36 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
PHASE SINGULARITIES
   NODAL POINTS
   WAVE-FIELDS
   QUANTUM
   STREAMLINES
   CONDUCTANCE
   VORTICES
   CHAOS
Кл.слова (ненормированные):
Eigenvalues and eigenfunctions -- Mathematical models -- Networks (circuits) -- Random processes -- Resonance -- Signal processing -- Spurious signal noise -- Bursting time series -- Coherence resonance -- Power spectrum -- Stochastic resonance -- Chaos theory
Аннотация: We discuss signatures of quantum chaos in terms of distributions of nodal points, saddle points, and streamlines for coherent electron transport through two-dimensional billiards, which are either nominally integrable or chaotic. As typical examples of the two cases we select rectangular and Sinai billiards. We have numerically evaluted distribution functions for nearest distances between nodal points and found that there is a generic form for open chaotic billiards through which a net current is passed. We have also evaluated the distribution functions for nodal points with specific vorticity (winding number) as well as for saddle points. The distributions may be used as signatures of quantum chaos in open systems. All distributions are well reproduced using random complex linear combinations of nearly monochromatic states in nominally closed billiards. In the case of rectangular billiards with simple sharp-cornered leads the distributions have characteristic features related to order among the nodal points. A flaring or rounding of the contact regions may, however, induce a crossover to nodal point distributions and current flow typical for quantum chaos. For an irregular arrangement of nodal points, as for example in the Sinai billiard, the quantum flow lines become very complex and volatile, recalling chaos among classical trajectories. Similarities with percolation are pointed out.

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Держатели документа:
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Dept. of Phys. and Msrmt. Technology, Linkoping University, S-581 83 Linkoping, Sweden
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Starikov, A. A.
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