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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Arkhipkin V. G., Timofeev I. V.
Заглавие : Adiabatic propagation of short pulses under conditions of electromagnetically induced transparency
Место публикации : Quantum Electron.: Turpion LTD, 2000. - Vol. 30, Is. 2. - P.180-184. - ISSN 1063-7818, DOI 10.1070/QE2000v030n02ABEH001683
Примечания : Cited References: 31
Предметные рубрики: POPULATION TRANSFER
LASER-PULSES
INTERFERENCE
ENHANCEMENT
COHERENCE
QUANTUM
SYSTEMS
INDEX
Аннотация: The spatial and temporal dynamics of two short pulses propagating in an optically dense medium of resonant three-level Lambda-atoms is investigated numerically and analytically. The maximum coherence for the Raman transition due to coherent population trapping. it is shown that, at the initial stage of propagation, the waveforms of such pulses only slightly change along the length of the medium, which may considerably exceed the length of linear absorption for a single weak pulse. As the length of the absorbing medium increases, the energy of the probe (first) pulse is completely transferred into the second (control) pulse.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F., Rotter I.
Заглавие : Bound states in the continuum in open Aharonov-Bohm rings
Место публикации : JETP Letters. - 2006. - Vol. 84, Is. 8. - P.430-435. - ISSN 0021-3640, DOI 10.1134/S0021364006200057
Примечания : Cited References: 33
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berggren K. F., Sadreev A. F., Starikov A. A.
Заглавие : Crossover from regular to irregular behavior in current flow through open billiards
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2002. - Vol. 66, Is. 1. - Ст.16218. - ISSN 1539-3755, DOI 10.1103/PhysRevE.66.016218
Примечания : Cited References: 36
Предметные рубрики: PHASE SINGULARITIES
NODAL POINTS
WAVE-FIELDS
QUANTUM
STREAMLINES
CONDUCTANCE
VORTICES
CHAOS
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V., Ulanov E. A.
Заглавие : Effects of multiple reflection in the process of inelastic electron transport through an anisotropic magnetic atom
Коллективы : 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]
Место публикации : JETP Letters. - 2013. - Vol. 98, Is. 7. - P.403-409. - ISSN 0021-3640, DOI 10.1134/S0021364013200162
Примечания : 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.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Kolovsky A. R.
Заглавие : Escape dynamics of a Bose-Hubbard dimer out of a trap
Коллективы : Russian Academy of Sciences [29]
Место публикации : Phys. Rev. A: American Physical Society, 2014. - Vol. 89, Is. 6. - Ст.063612. - ISSN 1050-2947, DOI 10.1103/PhysRevA.89.063612. - ISSN 1094-1622
Примечания : 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.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F.
Заглавие : Feshbach projection formalism for transmission through a time-periodic potential
Место публикации : Phys. Rev. E: American Physical Society, 2012. - Vol. 86, Is. 5. - Ст.56211. - ISSN 1539-3755, DOI 10.1103/PhysRevE.86.056211
Примечания : Cited References: 33
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Fractal stabilization of Wannier-Stark resonances
Место публикации : Europhys. Lett. - 2000. - Vol. 51, Is. 3. - P.255-260. - ISSN 0295-5075, DOI 10.1209/epl/i2000-00345-2
Примечания : Cited References: 17
Предметные рубрики: BLOCH PARTICLE
FIELDS
STATISTICS
QUANTUM
SYSTEMS
AC
DC
ELECTRONS
Аннотация: The quasienergy spectrum of a Bloch electron affected by dc-ac fields is known to have a fractal structure as a function of the so-called electric matching ratio, which is the ratio of the ac field frequency and the Bloch frequency. This paper studies a manifestation of the fractal nature of the spectrum in the system "atom in a standing laser wave", which is a quantum-optical realization of a Bloch electron. It is shown that for an appropriate choice of the system parameters the atomic survival probability (a quantity measured in laboratory experiments) also develops a fractal structure as a function of the electric matching ratio. Numerical simulations under classically chaotic scattering conditions show good agreement with theoretical predictions based on random matrix theory.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Maksimov D. N., Pilipchuk A. S.
Заглавие : Gate controlled resonant widths in double-bend waveguides: bound states in the continuum
Коллективы : Russian Science Foundation [14-12-00266]
Место публикации : J. Phys.: Condens. Matter: IOP Publishing, 2015. - Vol. 27, Is. 29. - Ст.295303. - ISSN 0953, DOI 10.1088/0953-8984/27/29/295303. - ISSN 1361648X(eISSN)
Примечания : 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.
Предметные рубрики: CIRCULAR BENDS
NUCLEAR REACTIONS
FANO RESONANCES
UNIFIED THEORY
QUANTUM
TRANSMISSION
TRANSPORT
SYSTEMS
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Lifetime statistics for a Bloch particle in ac and dc fields
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 1999. - Vol. 60, Is. 1. - P247-258. - ISSN 1063-651X, DOI 10.1103/PhysRevE.60.247
Примечания : Cited References: 27
Предметные рубрики: DYNAMIC LOCALIZATION
QUANTUM
TRANSITION
SCATTERING
MATRICES
SYSTEMS
LADDER
STATES
ATOMS
LIGHT
Аннотация: We study the statistics of the Wigner delay time and resonance width for a Bloch particle in ac and de fields in the regime of quantum chaos. It is shown that after appropriate rescaling the distributions of these quantities have a universal character predicted by the random matrix theory of chaotic scattering. [s1063-651X(99)09907-9].
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : New Bloch period for interacting cold atoms in 1D optical lattices
Место публикации : Phys. Rev. Lett.: AMER PHYSICAL SOC, 2003. - Vol. 90, Is. 21. - Ст.213002. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.90.213002
Примечания : Cited References: 19
Предметные 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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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Korshunov M. M., Eremin I., Efremov D. V., Maslov D. L., Chubukov A. V.
Заглавие : Nonanalytic Spin Susceptibility of a Fermi Liquid: The Case of Fe-Based Pnictides
Коллективы : 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
Разночтения заглавия :авие SCOPUS: Nonanalytic spin susceptibility of a fermi liquid: The case of Fe-based pnictides
Место публикации : Phys. Rev. Lett.: AMER PHYSICAL SOC, 2009. - Vol. 102, Is. 23. - Ст.236403. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.102.236403
Примечания : 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.
Предметные рубрики: PHASE-TRANSITIONS
QUANTUM
Ключевые слова (''Своб.индексиров.''): 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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12.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Arkhipkin V. G., Timofeev I. V.
Заглавие : Propagation of two short pulses under conditions of electromagnetically induced transparency: adiabatic following
Коллективы : International Workshop/Fall School Meeting for Young Scientists and Students on Optics, Laser Physics, and Biophysics (Saratov Fall Meeting 99) (1999 ; Oct.; Saratov)
Место публикации : Saratov fall meeting '99: Laser physics and spectroscopy. Ser. Proceedings of the society of photo-optical instrumentation engineers (SPIE): SPIE-Int. Soc. Optical Engineering, 2000. - Vol. 4002. - P.45-51. - ISBN 0277-786X, DOI 10.1117/12.380132. - ISBN 0-8194-3627-5
Примечания : Cited References: 31
Предметные рубрики: POPULATION TRANSFER
LASER-PULSES
QUANTUM
COHERENCE
MEDIA
INDEX
INTERFERENCE
ENHANCEMENT
TRANSITIONS
REFRACTION
Ключевые слова (''Своб.индексиров.''): electromagnetically-induced transparency--coherent population trapping--atomic coherence--quantum interference--adiabatic following--dressed field pulses
Аннотация: Spatio-temporal dynamics of two short laser pulses propagating in an absorbing medium, which consists of one-and two-photon resonant ii-atoms, is investigated in the adiabatic approximation. We give an analytical solution and compare it with numerical simulations. It is shown that pulses may propagate in a medium, whose thickness is considerably greater than the length of the linear absorption of a single weak probe wave. Finally, full transfer of the probe pulse energy into the coupling pulse takes place. A vector model of the adiabatic interaction of two pulses with three-level atom is proposed.
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13.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Arkhipkin V. G., Timofeev I. V.
Заглавие : Pulse pair propagation under conditions of induced transparency
Коллективы : Conference on Optical Pulse and Beam Propagation II (2000 ; Jan. ; 25-27; San Jose, CA)
Место публикации : Optical pulse and beam propagation II. Ser. Proceedings of the society of photo-optical instrumentation engineers (SPIE): SPIE-Int. Soc. Optical Engineering, 2000. - Vol. 3927. - P.368-375. - ISBN 0277-786X, DOI 10.1117/12.382069. - ISBN 0-8194-3544-9
Примечания : Cited References: 19
Предметные рубрики: ELECTROMAGNETICALLY INDUCED TRANSPARENCY
ADIABATIC POPULATION TRANSFER
LASER-PULSES
MULTILEVEL SYSTEMS
QUANTUM
Ключевые слова (''Своб.индексиров.''): adiabatic population transfer--coherent population trapping electromagnetically induced transparency--counterintuitive pulse sequence
Аннотация: The spatial and temporal dynamics of tno short laser pulses propagating in absorbing three-level medium under conditions of induced transparency is investigated in adiabatic approximation. We analyse two cases of electromagnetically induced transparency creating - coherent population trapping and adiabatic population transfer. It is shown that in both cases the probe pulse can penetrate into a medium at a distance considerably exceeding the length of linear absorption of a single weak probe pulse in absence of a coupling pulse at adjacent transition. The difference of spatial and temporal evolution of level populations in processes of coherent population trapping and adiabatic population transfer is although demonstrated.
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14.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Arkhipkin V. G., Timofeev I. V.
Заглавие : Pulse pair propagation under conditions of induced transparency: adiabatic approximation
Коллективы : Laser Optics, International Conference (2000 ; June ; 26-30; St. Petersburg)
Место публикации : Laser optics 2000: semiconductor lasers and optical communication. Ser. proceedings of the society of photo-optical instrumentation engineers (SPIE): SPIE-Int. Soc. Optical Engineering, 2001. - Vol. 4354. - P.111-117. - ISBN 0277-786X, DOI 10.1117/12.418816. - ISBN 0-8194-4044-2
Примечания : Cited References: 18
Предметные рубрики: ELECTROMAGNETICALLY INDUCED TRANSPARENCY
COHERENT POPULATION TRANSFER
LASER-PULSES
MULTILEVEL SYSTEMS
QUANTUM
Ключевые слова (''Своб.индексиров.''): adiabatic population transfer--coherent population trapping--electromagnetically induced transparency--counterintuitive pulse sequence
Аннотация: The features of spatial and temporal evolution of two short laser pulses propagating in three-level medium under conditions of coherent population trapping and adiabatic population transfer is investigated in adiabatic approximation. It is shown that in both cases pulses can penetrate into a medium at a distance considerably exceeding the length of linear absorption of a single weak probe pulse in absence of a coupling pulse at adjacent transition. The difference of spatial and temporal evolution of level populations in processes of coherent population trapping and adiabatic population transfer is demonstrated. Also we show that the concept of dressed-field pulses is consequence of Manley-Raw relation.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Jauho A. P., Pichugin K. N., Sadreev A. F.
Заглавие : Simulations of interference effects in gated two-dimensional ballistic electron systems
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1999. - Vol. 60, Is. 11. - P8191-8198. - ISSN 0163-1829, DOI 10.1103/PhysRevB.60.8191
Примечания : Cited References: 26
Предметные рубрики: CIRCULAR BENDS
WAVE-GUIDES
QUANTUM
CONDUCTANCE
FLOW
GAS
Аннотация: We present detailed simulations addressing recent electronic interference experiments,where a metallic gate is used to locally modify the Fermi wavelength of the charge carriers. Our numerical calculations are based on a solution of the one-particle Schrodinger equation for a realistic model of the actual sample geometry, including a Poison equation-based determination of the potential due to the gate. The conductance is determined with the multiprobe Landauer-Buttiker formula, and in general we find conductance vs gate voltage characteristics, which closely resemble the experimental traces. A detailed examination based on quantum-mechanical streamlines suggests that the simple one-dimensional semiclassical model often used to describe the experiments has only a limited range of validity, and that certain ''unexpected" periodicities should not be assigned any particular significance, they arise due to the complicated multiple scattering processes occurring in certain sample geometries.
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Spin polarized bound states in the continuum in open Aharonov-Bohm rings with the Rashba spin-orbit interaction
Коллективы : Russian Science Foundation [14-12-00266]
Место публикации : J. Phys.: Condens. Matter: IOP Publishing, 2016. - Vol. 28, Is. 26. - Ст.265301. - ISSN 0953-8984, DOI 10.1088/0953-8984/28/26/265301. - ISSN 1361-648X(eISSN)
Примечания : 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.
Предметные рубрики: Degenerate states
Nuclear reactions
Unified theory
Quantum
Transport
Dynamics
Decay
Ключевые слова (''Своб.индексиров.''): 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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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Zlotnikov A. O., Shustin M. S.
Заглавие : Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
Коллективы : 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]
Место публикации : Phys. Rev. B. - 2020. - Vol. 101, Is. 12. - Ст.125431. - ISSN 2469-9950, DOI 10.1103/PhysRevB.101.125431. - ISSN 2469-9969(eISSN)
Примечания : 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).
Предметные 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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