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    Maksimov, D. N.
    Wannier-Stark states in double-periodic lattices. II. Two-dimensional lattices / D. N. Maksimov, E. N. Bulgakov, A. R. Kolovsky // Phys. Rev. A. - 2015. - Vol. 91, Is. 5. - Ст. 053632, DOI 10.1103/PhysRevA.91.053632. - Cited References:22. - The authors acknowledge financial support from Russian Foundation for Basic Research through the Project No. 15-02-00463, Wannier-Stark states and Bloch oscillations of a quantum particle in a generic two-dimensional lattice. . - ISSN 1050. - ISSN 1094-1622
   Перевод заглавия: Состояния Ванье-Штарка в альтернантных решётках. 2. Двумерные решётки

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
BLOCH OSCILLATIONS
PARTICLE
LADDERS
Аннотация: We analyze the Wannier-Stark spectrum of a quantum particle in tilted two-dimensional lattices with the Bloch spectrum consisting of two subbands, which could be either separated by a finite gap or connected by the Dirac points. For rational orientations of the static field given by an arbitrary superposition of the translation vectors, the spectrum is a ladder of energy bands. We obtain asymptotic expressions for the energy bands in the limit of large and weak static fields and study them numerically for intermediate field strength. We show that the structure of energy bands determines the rate of spreading of localized wave packets, which is the quantity measured in laboratory experiments. It is shown that wave-packet dispersion becomes a fractal function of the field orientation in the long-time regime of ballistic spreading.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Kolovsky, A. R.; Коловский, Андрей Радиевич; Максимов, Дмитрий Николаевич; Russian Foundation for Basic Research [15-02-00463]
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Kagan, M. Y.
Anomalous resistivity and superconductivity in the two-band Hubbard model with one narrow band (Review) / M. Y. Kagan, V. V. Valkov // Low Temp. Phys. - 2011. - Vol. 37, Is. 1. - P. 69-82 ; Физика низких температур, DOI 10.1063/1.3552118. - Cited References: 62. - We thank A.S. Alexandrov, A.F. Andreev, M.A. Baranov, Yu. Bichkov, A.V. Chubukov, D.V. Efremov, A.S. Hewson, K.A. Kikoin, F.V. Kusmartsev, P. Nozieres, T.M. Rice, A.O. Sboychakov, P. Thalmeer, C.M. Varma, D. Vollhardt, P. Woelfle, A. Yaresko and, especially, P. Fulde, Yu. Kagan, K.I. Kugel, and N.V. Prokof'ev for many simulating discussions on this subject and acknowledge the financial support of RFBR grants # 08-02-00224 and 08-02-00212. M.Yu.K. is also grateful to the Leverhulme trust for a grant to visit Loughborough University, where this work was completed. . - ISSN 1063-777X

РУБ Physics, Applied
Рубрики:
FERMI-LIQUID BEHAVIOR
   MAGNETIC-ALLOYS
   HEAVY
   DENSITY
   SYSTEMS
   STATE
   UPT3
   MECHANISM
   PARTICLE
   VALENCE
Аннотация: We search for marginal Fermi-liquid behavior in the two-band Hubbard model with one narrow band. We consider the limit of low electron densities in the bands and strong intraband and interband Hubbard interactions. We analyze the influence of electron-polaron effects and other mechanisms for mass-enhancement (related to the momentum dependence of the self-energies) on the effective mass and scattering times of light and heavy components in the clean case (electron-electron scattering and no impurities). We find a tendency towards phase separation (towards negative partial compressibility of heavy particles) in the 3D case with a large mismatch between the densities of heavy and light bands in the strong coupling limit. We also find that for low temperatures and equal densities, the resistivity in a homogeneous state R(T) proportional to T-2 behaves as a Fermi-liquid in both 3D and 2D. For temperatures greater than the effective bandwidth for heavy electrons T W-h*, the coherence of the heavy component breaks down completely. The heavy particles move diffusively in the surrounding light particles. At the same time, light particles scatter on heavy particles as if on immobile (static) impurities. Under these conditions, the heavy component is marginal, while the light component is not. The resistivity approaches saturation for T W-h* in the 3D case. In 2D the resistivity has a maximum and a localization tail owing to weak-localization corrections of the Altshuler-Aronov type. This behavior of resistivity in 3D could be relevant for some uranium-based heavy-fermion compounds such as UNi2Al3 and in 2D, for some other mixed-valence compounds, possibly including layered manganites. We also consider briefly the superconductive (SC) instability in this model. The leading instability tends to p-wave pairing and is governed by an enhanced Kohn-Luttinger mechanism for SC at low electron densities. The critical temperature corresponds to the pairing of heavy electrons via polarization of the light electrons in 2D. (C) 2011 American Institute of Physics. [doi:10.1063/1.3552118]

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Держатели документа:
[Kagan, M. Yu.] Russian Acad Sci, PL Kapitza Phys Problems Inst, Moscow 119334, Russia
[Valkov, V. V.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН
P.L.Kapitza Institute for Physical Problems of the Russian Academy of Sciences, 2 Kosygin St., Moscow 119334, Russian Federation
Kirensky Institute of Physics, Siberian Branch of the Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation

Доп.точки доступа:
Valkov, V. V.; Вальков, Валерий Владимирович

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Gluck, M.
Perturbation theory for Wannier resonance states affected by ac field / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Lett. A. - 1999. - Vol. 258, Is. 4-6. - P. 383-393, DOI 10.1016/S0375-9601(99)00360-6. - Cited References: 15 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
DYNAMIC LOCALIZATION
DC
PARTICLE
Кл.слова (ненормированные):
Wannier states -- quantum resonances -- quasienergy states
Аннотация: The paper studies the effect of a weak ac field on the Wannier states, which are known to be the metastable states of a quantum particle in a periodic potential subject to a static field, Provided that the photon energy exactly matches the spacing of the Wannier-Stark ladder the system complex quasienergy spectrum is obtained. it is shown, in particular, thar a weak ac field can increase the lifetime of the Wannier states by several orders of magnitude. The analytical results of a perturbation theoretical analysis are compared against the exact numerical calculation of the system spectrum. (C) 1999 Elsevier Science B.V. All rights reserved.

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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:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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