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1.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Landau-Zener tunnelling in 2D periodic structures in the presence of a gauge field: I. Tunnelling rates
Место публикации : J. Phys. B. - 2013. - Vol. 46, Is. 14. - Ст.145301. - P. - ISSN 0953-4075, DOI 10.1088/0953-4075/46/14/145301
Примечания : 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.
Предметные 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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2.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F., Pichugin K. N.
Заглавие : Ligth-induced breaking of symmetry in photonic crystal waveguides with nonlinear defects as a key for all-optical switching circuits
Место публикации : Spontaneous symmetry breaking, self-trapping, and Josephson oscillations/ ed. B. A. Malomed: Springer, 2013. - P.89-124. - (Progress in optical science and photonics; Vol. 1). - ISSN 978-3-642-21206-2, DOI 10.1007/10091_2011_1
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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3.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R., Bulgakov E. N.
Заглавие : Wannier-Stark states and Bloch oscillations in the honeycomb lattice
Место публикации : Phys. Rev. B. - 2013. - Vol. 87, Is. 3. - Ст.033602. - P. - ISSN 1050-2947, DOI 10.1103/PhysRevA.87.033602
Ключевые слова (''Своб.индексиров.''): 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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4.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Orlov V. A., Kim P. D.
Заглавие : On low-frequency oscillations of a bloch-point in a nanodisk
Место публикации : J. Sib. Fed. Univ. Math. Phys. - 2013. - Vol. 6, Is. 1. - P.86-96. - ISSN 1997-1397; Журн. СФУ. Сер. "Математика и физика"
Ключевые слова (''Своб.индексиров.''): 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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5.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Simulating cyclotron-Bloch dynamics of a charged particle in a 2D lattice by means of cold atoms in driven quasi-1D optical lattices
Место публикации : Front. Phys. - 2012. - Vol. 7, Is. 1. - P.3-7. - ISSN 2095-0462, DOI 10.1007/s11467-011-0202-3
Примечания : Cited References: 11. - This work was partially supported by Russian Foundation for Basic Research, grant RFBR-10-02-00171-a.
Предметные рубрики: MAGNETIC-FIELDS
ELECTRONS
Ключевые слова (''Своб.индексиров.''): 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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6.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Chesnokov I. Yu., Kolovsky A. R.
Заглавие : Landau-Stark states in finite lattices and edge-induced Bloch oscillations
Коллективы : Russian Academy of Sciences through the SB RAS [29]; RFBR [14-02-31148]
Место публикации : Europhys. Lett. - 2014. - Vol. 106, Is. 5. - Ст.50001. - ISSN 0295-5075, DOI 10.1209/0295-5075/106/50001. - ISSN 1286-4854
Примечания : 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.
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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7.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Bulgakov E. N., Kolovsky A. R.
Заглавие : Wannier-Stark states in double-periodic lattices. II. Two-dimensional lattices
Коллективы : Russian Foundation for Basic Research [15-02-00463]
Место публикации : Phys. Rev. A: American Physical Society, 2015. - Vol. 91, Is. 5. - Ст.053632. - ISSN 1050, DOI 10.1103/PhysRevA.91.053632. - ISSN 10941622(eISSN)
Примечания : 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.
Предметные 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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8.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Bulgakov E. N., Kolovsky A. R.
Заглавие : Wannier-Stark states in double-periodic lattices. I. One-dimensional lattices
Коллективы : Russian Foundation for Basic Research [15-02-00463]
Место публикации : Phys. Rev. A: American Physical Society, 2015. - Vol. 91, Is. 5. - Ст.053631. - ISSN 1050, DOI 10.1103/PhysRevA.91.053631. - ISSN 10941622(eISSN)
Примечания : 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.
Предметные 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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9.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ignatchenko V. A., Polukhin D. S.
Заглавие : Green’s function of magnetoelastic waves
Коллективы : Moscow International Symposium on Magnetism
Место публикации : Solid State Phenom.: Selected, peer reviewed papers/ ed.: N. Perov, A. Semisalova: Trans Tech Publications Ltd, 2015. - Vol. 233-234: Achievements in Magnetism. - P.12-15. - ISSN 1662-9779, DOI 10.4028/www.scientific.net/SSP.233-234.12. - ISSN 978-3-03835-482-6
Ключевые слова (''Своб.индексиров.''): 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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Grigoriev P. D., Korshunov M. M., Mogilyuk T. I.
Заглавие : Slow in-plane magnetoresistance oscillations in multiband quasi-two-dimensional metals
Коллективы : RFBR [16-02-00522, 16-02-00098]; Leading Scientific Schools of the Russian Federation [NSh-2886.2014.2]
Место публикации : J. Supercond. Nov. Magn.: Springer, 2016. - Vol. 29, Is. 4. - P.1127-1132. - ISSN 1557-1939, DOI 10.1007/s10948-016-3373-x. - ISSN 1557-1947(eISSN)
Примечания : 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).
Предметные рубрики: High-temperature superconductivity
High magnetic-fields
Iron-based materials
Conductors
Localization
Weak
Ключевые слова (''Своб.индексиров.''): 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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