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1.


    Kolovsky, A. R.
    Landau-Zener tunnelling in 2D periodic structures in the presence of a gauge field: I. Tunnelling rates / A. R. Kolovsky // J. Phys. B. - 2013. - Vol. 46, Is. 14. - Ст. 145301. - P. , DOI 10.1088/0953-4075/46/14/145301. - Cited References: 48. - 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 and the Russian Foundation for Basic Research (RFBR) project no. 12-02-00094 Tunneling of the macroscopic quantum states. . - ISSN 0953-4075
РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
OPTICAL BLOCH OSCILLATIONS
   WANNIER-STARK STATES

   MAGNETIC-FIELDS

   NEUTRAL ATOMS

   COLD ATOMS

   LATTICES

   ELECTRONS

   ARRAYS

Аннотация: We study the interband Landau-Zener tunnelling of a quantum particle in the Hall configuration, i.e., in the presence of gauge field (for example, magnetic field for a charged particle) and in-plane potential field (electric field for a charged particle) normal to the lattice plane. The interband tunnelling is induced by the potential field and for the vanishing gauge field is described by the common Landau-Zener theory. We generalize this theory for a nonzero gauge field. The depletion rates of low-energy bands are calculated by using a semi-analytical method of the truncated Floquet matrix.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Inst Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Коловский, Андрей Радиевич
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2.


    Bulgakov, E. N.
    Ligth-induced breaking of symmetry in photonic crystal waveguides with nonlinear defects as a key for all-optical switching circuits / E. N. Bulgakov, A. F. Sadreev, K. N. Pichugin // Spontaneous symmetry breaking, self-trapping, and Josephson oscillations. - 2013. - P. 89-124. - (Progress in optical science and photonics ; Vol. 1), DOI 10.1007/10091_2011_1 . - ISSN 978-3-642
Аннотация: We consider light transmission in 2D photonic crystal waveguide coupled with two identical nonlinear defects positioned symmetrically aside the waveguide. We show that with growth of injected light power there is a breaking of symmetry by two ways. In the first way the symmetry is broken because of different light intensities at the defects. In the second way the intensities at the defects are equaled but phases of complex amplitudes are different. That results in a vortical power flow between the defects similar to the DC Josephson effect if the input power over the waveguide is applied and the defects are coupled. As application of these phenomena we consider the symmetry breaking for the light transmission in a T-shaped photonic waveguide with two nonlinear defects. We demonstrate as this phenomenon can be explored for all-optical switching of light transmission from the left output waveguide to the right one by application of input pulses. Finally we consider the symmetry breaking in the waveguide coupled with single defect presented however by two dipole modes.

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Доп.точки доступа:
Malomed, Boris A. \ed.\; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Pichugin, K. N.; Пичугин, Константин Николаевич; Булгаков, Евгений Николаевич
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3.


    Kolovsky, A. R.
    Wannier-Stark states and Bloch oscillations in the honeycomb lattice / A. R. Kolovsky, E. N. Bulgakov // Phys. Rev. B. - 2013. - Vol. 87, Is. 3. - Ст. 033602. - P. , DOI 10.1103/PhysRevA.87.033602 . - ISSN 1050-2947
Кл.слова (ненормированные):
Bloch oscillations -- Chaotic state -- Honeycomb lattices -- Localization length -- Localized state -- Quantum particles -- Static fields -- Tight-binding approximations -- Solid state physics -- Honeycomb structures
Аннотация: We study a quantum particle in a tilted honeycomb lattice in the tight-binding approximation. First we discuss the particle eigenstates, i.e., the stationary Wannier-Stark states. These states are proved to be extended states for the rational directions of the static field and localized states for the irrational directions. We find energy bands of the extended states and analyze the localized states. It is shown, in particular, that the localized honeycomb Wannier-Stark states are chaotic states with irregular dependence of the localization length on the static field magnitude. Second we discuss Bloch oscillations of the quantum particle. Irregular Bloch oscillations for irrational directions are observed. В© 2013 American Physical Society.

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

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Коловский, Андрей Радиевич
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4.


    Orlov, V. A.
    On low-frequency oscillations of a bloch-point in a nanodisk / V. A. Orlov, P. D. Kim // J. Sib. Fed. Univ. Math. Phys. - 2013. - Vol. 6, Is. 1. - P. 86-96 ; Журн. СФУ. Сер. "Математика и физика" . - ISSN 1997-1397
   Перевод заглавия: О низкочастотных колебаниях точки Блоха в нанодиске
Кл.слова (ненормированные):
NANODOT -- MAGNETIC VORTEX -- BLOCH POINT -- MAGNETIC REVERSAL -- НАНОТОЧКА -- МАГНИТНЫЙ ВИХРЬ -- ТОЧКА БЛОХА -- ПЕРЕМАГНИЧИВАНИЕ
Аннотация: The paper is devoted to the problem of low frequency oscillations of a magnetic vortex of small amplitude in isolated cylindrical ferromagnetic of submicronic size. The problem is solved analytically in the context of the rigid vortex model. This model assumes a certain constant magnetization distribution near the Bloch point when the vortex core is displaced from the equilibrium position. Numerical results are presented in the form of diagrams. These diagrams can be used to predict how frequencies of modes depend on geometrical sizes of a nanocylinder.
В настоящей работе аналитически решается задача о низкочастотных колебаниях магнитного вихря малой амплитуды в изолированном цилиндрическом ферромагнетике субмикронных размеров. Расчеты проводятся в модели "жесткого" вихря, т.е. распределение намагниченности вблизи точки Блоха считается неизменной при смещении ядра из положения равновесия. Построены диаграммы, позволяющие предсказать частоты мод в зависимости от геометрических размеров наноцилиндра.

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Доп.точки доступа:
Kim, P. D.; Ким, Петр Дементьевич; Орлов, Виталий Александрович

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5.


    Kolovsky, A. R.
    Simulating cyclotron-Bloch dynamics of a charged particle in a 2D lattice by means of cold atoms in driven quasi-1D optical lattices / A. R. Kolovsky // Front. Phys. - 2012. - Vol. 7, Is. 1. - P. 3-7, DOI 10.1007/s11467-011-0202-3. - Cited References: 11. - This work was partially supported by Russian Foundation for Basic Research, grant RFBR-10-02-00171-a. . - ISSN 2095-0462
РУБ Physics, Multidisciplinary
Рубрики:
MAGNETIC-FIELDS
   ELECTRONS

Кл.слова (ненормированные):
optical lattice -- Bloch dynamics -- cyclotron oscillations -- cold atoms
Аннотация: Quantum dynamics of a charged particle in a two-dimensional (2D) lattice subject to magnetic and electric fields is a rather complicated interplay between cyclotron oscillations (the case of vanishing electric field) and Bloch oscillations (zero magnetic field), details of which has not yet been completely understood. In the present work we suggest to study this problem by using cold atoms in optical lattices. We introduce a one-dimensional (1D) model which can be easily realized in laboratory experiments with quasi-1D optical lattices and show that this model captures many features of the cyclotron-Bloch dynamics of the quantum particle in 2D square lattices.

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Держатели документа:
[Kolovsky, Andrey R.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Kolovsky, Andrey R.] Siberian Fed Univ, Inst Engn Phys, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Коловский, Андрей Радиевич
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6.


    Chesnokov, I. Yu.
    Landau-Stark states in finite lattices and edge-induced Bloch oscillations / I. Y. Chesnokov, A. R. Kolovsky // Europhys. Lett. - 2014. - Vol. 106, Is. 5. - Ст. 50001, DOI 10.1209/0295-5075/106/50001. - Cited References: 23. - Financial support of the Russian Academy of Sciences through the SB RAS integration project No. 29 (Dynamics of atomic Bose-Einstein condensates in optical lattices) and RFBR project No. 14-02-31148 (Transport of ultacold atoms subject to gauge and potential fields) is acknowledged. ARK expresses his gratitude to H. J. KORSCH, M. FLEISCHHAUER, and F. GRUSDT for useful discussions and D. N. MAKSIMOV for helpful remarks. . - ISSN 0295-5075. - ISSN 1286-4854
   Перевод заглавия: Состояния Ландау–Штарка в конечной решетке и краевые осцилляции Блоха
РУБ Physics, Multidisciplinary

Аннотация: We consider the dynamics of a charged particle in a finite along the x-direction square lattice in the presence of a normal to the lattice plane magnetic field and an in-plane electric field aligned with the y-axis. For a vanishing magnetic field this dynamics would be common Bloch oscillations where the particle oscillates in the y-direction with an amplitude inverse proportional to the electric field. We show that a non-zero magnetic field crucially modifies this dynamics. Namely, the new Bloch oscillations consist of time intervals where the particle moves with constant velocity in the x-direction intermitted by intervals where it is accelerated or decelerated along the lattice edges. The analysis is done in terms of the Landau-Stark states which are eigenstates of a quantum particle in a two-dimensional lattice subject to (real or synthetic) electric and magnetic fields. Copyright (C) EPLA, 2014

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Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Чесноков, Илья Юрьевич; Russian Academy of Sciences through the SB RAS [29]; RFBR [14-02-31148]
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7.


    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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8.


    Maksimov, D. N.
    Wannier-Stark states in double-periodic lattices. I. One-dimensional lattices / D. N. Maksimov, E. N. Bulgakov, A. R. Kolovsky // Phys. Rev. A. - 2015. - Vol. 91, Is. 5. - Ст. 053631, DOI 10.1103/PhysRevA.91.053631. - Cited References:24. - 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. 1. Одномерные решётки
РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
BLOCH-ZENER OSCILLATIONS
   TIGHTLY BOUND ELECTRONS

   BANDS

   FIELD

Аннотация: We analyze the Wannier-Stark spectrum of a quantum particle in generic one-dimensional double-periodic lattices. In the limit of a weak static field, the spectrum is shown to be a superposition of two Wannier-Stark ladders originating from two Bloch subbands. As the strength of the field is increased, the spectrum rearranges itself into a single Wannier-Stark ladder. We derive analytical expressions that describe the rearrangement employing the analogy between the Wannier-Stark problem and a driven two-level system in the strong-coupling regime.

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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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9.


    Ignatchenko, V. A.
    Green’s function of magnetoelastic waves / V. A. Ignatchenko, D. S. Polukhin // Solid State Phenom. : Selected, peer reviewed papers. - 2015. - Vol. 233-234: Achievements in Magnetism. - P. 12-15, DOI 10.4028/www.scientific.net/SSP.233-234.12 . - ISSN 1662-9779. - ISSN 978-3-038
Кл.слова (ненормированные):
Dispersion relations -- Elastic waves -- Green’s functions -- Magnetoelastic coupling -- Resonances -- Spin waves -- Green's function -- Resonance -- Spin waves -- Wave propagation -- Approximate expressions -- Dipole dipole interactions -- Dispersion relations -- Elastic oscillations -- Longitudinal elastic wave -- Magnetoelastic couplings -- Off-diagonal elements -- S function -- Elastic waves
Аннотация: The matrix (5x5) Green's function of magnetoelastic waves in an isotropic magnetoelastic medium taking into account the dipole-dipole interaction has been derived. The imaginary parts of diagonal and off-diagonal elements of the Green's function in the crossing resonance of spin and longitudinal elastic waves has been investigated. It is shown that under changing the angle of wave propagation θ the amplitudes of Green functions change drastically due redistribution of energy between the magnetic and elastic oscillation. Approximate expressions for the dependence of the widths of the gaps in the spectrum on the angle θ have been also derived. © (2015) Trans Tech Publications, Switzerland.

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Доп.точки доступа:
Perov, N. \ed.\; Semisalova, A. \ed.\; Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич; Moscow International Symposium on Magnetism(6 ; 2014 ; June-July ; Moscow)
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10.


    Grigoriev, P. D.
    Slow in-plane magnetoresistance oscillations in multiband quasi-two-dimensional metals / P. D. Grigoriev, M. M. Korshunov, T. I. Mogilyuk // J. Supercond. Nov. Magn. - 2016. - Vol. 29, Is. 4. - P. 1127-1132, DOI 10.1007/s10948-016-3373-x. - Cited References:73. - We are grateful to V.M. Pudalov, I. A. Nekrasov, and S.G. Ovchinnikov for useful discussions. We acknowledge the partial support by RFBR (Grants 16-02-00522 and 16-02-00098) and the President Grant for Government Support of the Leading Scientific Schools of the Russian Federation (NSh-2886.2014.2). . - ISSN 1557-1939. - ISSN 1557-1947
   Перевод заглавия: Медленные внутриплоскостные осцилляции магнетосопротивления в многозонных квазидвумерных металлах
РУБ Physics, Applied + Physics, Condensed Matter
Рубрики:
High-temperature superconductivity
   High magnetic-fields

   Iron-based materials

   Conductors

   Localization

   Weak

Кл.слова (ненормированные):
Fermi surface -- Quantum oscillations -- Fe-based superconductors -- Slow -- oscillations -- Magnetoresistance
Аннотация: Slow oscillations (SlO) of magnetoresistance is a convenient tool to measure electronic structure parameters in quasi-two-dimensional metals. We study the possibility to apply this method to multi-band conductors, e.g., to iron-based high-temperature superconducting materials. We show that SlO can be used to measure the interlayer transfer integral in multi-band conductors similar to single-band metals. In addition, the SlO allow to measure and compare the effective masses or the electron scattering rates in various bands.

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Держатели документа:
LD Landau Theoret Phys Inst, Chernogolovka 142432, Russia.
Inst Laue Langevin, 71 Ave Martyrs, F-38000 Grenoble, France.
Natl Univ Sci & Technol MISiS, Moscow 119049, Russia.
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia.
Natl Res Ctr, Kurchatov Inst, Moscow, Russia.

Доп.точки доступа:
Korshunov, M. M.; Коршунов, Максим Михайлович; Mogilyuk, T. I.; RFBR [16-02-00522, 16-02-00098]; Leading Scientific Schools of the Russian Federation [NSh-2886.2014.2]
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