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Kolovsky, A. R.
Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice. II. Arbitrary electric field directions / A. R. Kolovsky, I. Chesnokov, G. Mantica // Phys. Rev. E. - 2012. - Vol. 86, Is. 4. - Ст. 41146, DOI 10.1103/PhysRevE.86.041146. - Cited References: 15. - We thank Jean Bellissard and Italo Guarneri for illuminating comments on the nature of the energy spectrum for irrational beta. Computations for this work have been performed on the CSN4 cluster of INFN in Pisa. G. M. acknowledges the support of MIUR-PRIN project "Nonlinearity and Disorder in Classical and Quantum Transport Processes." . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
MAGNETIC-FIELDS
LOCALIZATION
Аннотация: We study the quantum dynamics of a charged particle in a two-dimensional lattice, subject to constant and homogeneous electric and magnetic fields. We find that different regimes characterize these motions, depending on a combination of conditions, corresponding to weak and strong electric field intensities, rational or irrational directions of the electric field with respect to the lattice, and small or large values of the magnetic (Peierls) phase.

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Держатели документа:
[Kolovsky, Andrey R.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Kolovsky, Andrey R.
Chesnokov, Ilya] Siberian Fed Univ, Krasnoyarsk 660041, Russia
[Mantica, Giorgio] Univ Insubria, Ctr Nonlinear & Complex Syst, Dept Sci & High Technol, I-22100 Como, Italy
[Mantica, Giorgio] INFN Sez Milano, Milan, Italy
[Mantica, Giorgio] CNISM Unita Como, Como, Italy

Доп.точки доступа:
Chesnokov, I. Yu.; Mantica, G.; Коловский, Андрей Радиевич
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Ignatchenko, V. A.
Effect of the correlation properties of one- and three-dimensional inhomogeneities on the high-frequency magnetic susceptibility of sinusoidal superlattices / V. A. Ignatchenko, Y. I. Mankov // Phys. Solid State. - 2005. - Vol. 47, Is. 3. - P. 587-594, DOI 10.1134/1.1884725. - Cited References: 29 . - ISSN 1063-7834

РУБ Physics, Condensed Matter
Рубрики:
PERIODIC MULTILAYERS
   WAVE SPECTRUM
   SPIN-WAVES
   LOCALIZATION
   SYSTEMS
   DISORDER
Аннотация: The effect of one-(1D) and three-dimensional (3D) inhomogeneities on the high-frequency magnetic susceptibility at the boundary of the first Brillouin zone of a ferromagnetic superlattice is studied. The study is performed with an earlier developed method of random spatial modulation (RSM) of the superlattice period. In this method, structural inhomogeneities are described in terms of the random-phase model, in which the phase depends on three coordinates in the general case. The frequency spacing Delta v(m) between two peaks in the imaginary part of the averaged Green's function, which characterizes the gap width in the frequency spectrum at the boundary of the Brillouin zone, is calculated as a function of both the root-mean-square fluctuations gamma(i) and the correlation wavenumbers eta(i) of phase inhomogeneities (i = 1 and 3 for 1D and 3D inhomogeneities, respectively). The function Delta v(m)(gamma(1), eta(1)) for 1D inhomogeneities is shown to be symmetric with respect to inter- changing the variables gamma(1)(2) and eta(1), whereas the function Delta v(m)(gamma(3), eta(3)) for 3D inhomogeneities is strongly asym- metric with respect to interchanging gamma(3)(2) eta(3). This effect is associated with the difference in form between the correlation functions of 1D and 3D inhomogeneities and can be used to determine the dimensionality of inhomogeneities from the results of spectral studies of such superlattices. (c) 2005 Pleiades Publishing, Inc.

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Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Siberian Div, Krasnoyarsk 660036, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, Akademgorodok, 660036, Russian Federation

Доп.точки доступа:
Mankov, Y. I.; Игнатченко, Вальтер Алексеевич
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Ignatchenko, V. A.
Effects of cross correlations between 1D and 3D inhomogeneities on the high-frequency susceptibility of superlattices / V. A. Ignatchenko, Y. I. Mankov // J. Exp. Theor. Phys. - 2006. - Vol. 102, Is. 4. - P. 625-635, DOI 10.1134/S106377610604011X. - Cited References: 29 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
ELASTIC MEDIUM THEORY
   3-DIMENSIONAL INHOMOGENEITIES
   PERIODIC MULTILAYERS
   SPIN-WAVES
   LOCALIZATION
   SPECTRUM
   SYSTEMS
   MEDIA
   DISORDER
Кл.слова (ненормированные):
Correlation methods -- Damping -- Function evaluation -- Wave equations -- Brillouin zone -- Distribution function -- Random variables -- Superlattices
Аннотация: Cross Correlations between components of a mixture of one-dimensional (I D) and three-diniensional (3D) inhomogenetics are described by introducing a distribution function taking into account correlations between absolute values of two random variables in the absence of correlations between the variables themselves. This distribution function is used for derivation and analysis of the superlattice correlation function containing a mixture of cross-correlated 1D and 3D in homogeneitics. The effect of such inhomogeneities on the high-frequency susceptibility at the edge of the first Brillouin zone of the superlattice is investigated. It is shown that positive cross correlations partly suppress the effect of a mixture of 1D and 3D inhomogeneities on the wave spectrum: the gap at the boundary of the Brillouin zone increases, and wave damping decreases as compared to the effect produced by a mixture of 1D and 3D inhomogeneities in the absence of cross correlations. Negative cross correlations lead to the opposite effect: the gap decreases and wave damping increases. Cross correlations also lead to the emergence of new resonance effects: a narrow dip or a narrow peak at the center of the band gap (depending on the sign of the correlation factor).

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Держатели документа:
Russian Acad Sci, Kirenskii Inst Phys, Siberian Div, Krasnoyarsk 660036, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Mankov, Y. I.; Игнатченко, Вальтер Алексеевич
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Ignatchenko, V. A.
Effects of one- and three-dimensional inhomogeneities on the wave spectrum of multilayers with finite interface thicknesses / V. A. Ignatchenko, Y. I. Mankov, A. A. Maradudin // Phys. Rev. B. - 2002. - Vol. 65, Is. 2. - Ст. 24207, DOI 10.1103/PhysRevB.65.024207. - Cited References: 24 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
PERIODIC MULTILAYERS
   SPIN-WAVES
   LOCALIZATION
   SUPERLATTICES
   SYSTEMS
   DISORDER
   AVERAGE
   MEDIA
Аннотация: To describe a partially randomized multilayer structure with arbitrary thicknesses of the interfaces between layers, we introduce a model in which the dependence of a material parameter along the axis of such a Superlattice is described by a Jacobian elliptic sine function with a random spatial modulation of its period. Both one- and three-dimensional inhomogeneities of the period are considered. We develop the correlation function for this model, and investigate the dispersion law and damping of averaged waves in this superlattice. The dependencies of the widths of the gaps in the spectrum and the damping at the boundaries of all odd Brillouin zones, on the thicknesses of the interfaces, and on the dimensionality, intensity, and correlation wave number of the inhomogeneities are found. It is shown that experimental investigations of the widths of the gaps and damping for several Brillouin zones could permit, in principle, determining all parameters of the superlattice as well as the parameters of the inhomogeneities from these spectral characteristics.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Univ Calif Irvine, Dept Phys & Astron, Irvine, CA 92697 USA
ИФ СО РАН

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Mankov, Y. I.; Maradudin, A. A.; Игнатченко, Вальтер Алексеевич
}
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Ignatchenko, V. A.
Effects of the dimensionality of inhomogeneities on the wave spectrum of superlattices / V. A. Ignatchenko, Y. I. Mankov, A. A. Maradudin // Phys. Rev. B. - 2003. - Vol. 68, Is. 2. - Ст. 24209, DOI 10.1103/PhysRevB.68.024209. - Cited References: 26 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
ELASTIC MEDIUM THEORY
   PERIODIC MULTILAYERS
   SPIN-WAVES
   LOCALIZATION
   SYSTEMS
   MEDIA
   DISORDER
Аннотация: Dependences of the dispersion laws and damping of waves in an initially sinusoidal superlattice on the dimensionality of inhomogeneities modulating the period of the superlattice are studied. The cases of one- and three-dimensional modulations, as well as modulation by a mixture of inhomogeneities of both of these dimensionalities, are considered. The correlation function of the superlattice K(r) has the form of a product of the same periodic function and a decreasing function that is significantly different for these different cases. For r -- infinity the decreasing function goes to zero for the one-dimensional inhomogeneities and to a nonzero asymptote for the three-dimensional ones. Consequently, the transition from the disordered to ordered states is accompanied in the three-dimensional case not only by an increase of the correlation radius as in the one-dimensional case, but also by a change in the relationship between the volumes of the superlattices with finite and infinite correlation radii. The decreasing part of the correlation function for the mixture of inhomogeneities of different dimensionalities has the form of a product of the decreasing parts of the correlation functions of the components of the mixture. This leads to the nonadditivity of the contributions of the components of different dimensionalities to the resulting modification of the parameters of the wave spectrum that are due to the inhomogeneities (the damping of waves for the mixture of these components is smaller than the sum of the dampings of the components, the maximum gap in the spectrum corresponds to the simultaneous presence of both components, and so on).

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Univ Calif Irvine, Dept Phys & Astron, Irvine, CA 92697 USA
ИФ СО РАН

Доп.точки доступа:
Mankov, Y. I.; Maradudin, A. A.; Игнатченко, Вальтер Алексеевич
}
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Ignatchenko, V. A.
Effects of the mixture of one- and three-dimensional inhomogeneities on the wave spectrum of superlattices / V. A. Ignatchenko, Y. I. Mankov, A. A. Maradudin // JETP Letters. - 2003. - Vol. 77, Is. 6. - P. 285-290, DOI 10.1134/1.1577758. - Cited References: 24 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
PERIODIC MULTILAYERS
   SPIN-WAVES
   LOCALIZATION
   SYSTEMS
   THICKNESSES
   DISORDER
   AVERAGE
   MEDIA
Аннотация: Dependences of the dispersion laws and damping of waves in an initially sinusoidal superlattice on the dimensionality of inhomogeneities modulating the period of the superlattice are studied. The cases of one- and three-dimensional modulations, as well as modulation by a mixture of inhomogeneities of both of these dimensionalities, are considered. The correlation function of the superlattice K(r) has the form of a product of the same periodic function and a decreasing function that is significantly different for these different cases. The decreasing part of the correlation function for the mixture of inhomogeneities of different dimensionalities has the form of a product of the decreasing parts of the correlation functions of the components of the mixture. This leads to the nonadditivity of the contributions of the components of different dimensionalities to the resulting modification of the parameters of the wave spectrum that are due to the inhomogeneities (the damping of waves for the mixture of these components is smaller than the sum of the dampings of the components, the maximum gap in the spectrum corresponds to the simultaneous presence of both components of the mixture, not only of the three-dimensional inhomogeneities). (C) 2003 MAIK "Nauka / Interperiodica".

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Univ Calif Irvine, Dept Phys & Astron, Irvine, CA 92697 USA
ИФ СО РАН
Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation
Department of Physics and Astronomy, University of California, Irvine, CA 92697, United States

Доп.точки доступа:
Mankov, Y. I.; Maradudin, A. A.; Игнатченко, Вальтер Алексеевич
}
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Deich, L. I.
Far-infrared attenuation in glasses / L. I. Deich // Phys. Rev. B. - 1994. - Vol. 49, Is. 1. - P. 109-113, DOI 10.1103/PhysRevB.49.109. - Cited References: 29 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
Рубрики:
VITREOUS SILICA
   TEMPERATURE
   MODEL
   LOCALIZATION
   ABSORPTION
   SOLIDS
   STATES
Аннотация: The influence of quasilocal vibrations on the far-infrared spectra of glasses is investigated under the supposition that the quasilocal vibrations are directly inactive in the attenuation. It is shown that taking into account phonon-quasilocal-vibration coupling and both medium- and short-range structure of the inhomogeneities of a photon-phonon coupling parameter can give rise to an attenuation curve similar to one observed for a-SiO2 and related materials.

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Держатели документа:
L. V. Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Дейч, Лев Исаакович
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Ignatchenko, V. A.
High-Frequency Susceptibility of a Superlattice with 2D Inhomogeneities / V. A. Ignatchenko, Y. I. Mankov, D. S. Tsikalov // J. Exp. Theor. Phys. - 2008. - Vol. 107, Is. 4. - P. 603-611, DOI 10.1134/S1063776108100075. - Cited References: 26. - This work was supported in part by grant no. 3818.2008.3 from the President of Russia in accordance with the program supporting leading scientific schools. . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
SPIN-WAVE SUSCEPTIBILITY
   PERIODIC MULTILAYERS
   LOCALIZATION
   SYSTEMS
   SPECTRUM
   DISORDER
   MEDIA
Кл.слова (ненормированные):
Energy conservation -- Energy gap -- Energy management -- Frequency bands -- Gallium alloys -- Green's function -- Probability density function -- Three dimensional -- Band gaps -- Energy conservation laws -- Green functions -- High frequencies -- Imaginary parts -- Magnon crystals -- Scattered waves -- Superlattice layers -- Wave spectrums -- Phase interfaces
Аннотация: We investigate the high-frequency susceptibility (Green function) of an initially sinusoidal 1D superlattice with 2D phase inhomogeneities that model the deformations of the interfaces between the superlattice layers. For waves propagating along the superlattice axis ( the geometry of a photon or magnon crystal), we have found a peculiar behavior of the imaginary part of the Green function that consists in a significant difference between the peaks corresponding to the edges of the band gap in the wave spectrum. The peak corresponding to the lower-frequency band edge remains essentially unchanged as the root-mean-square fluctuation of the 2D inhomogeneities. 2 increases, while the peak corresponding to the higher-frequency band edge broaden and decreases sharply in height until its complete disappearance with increasing gamma(2). This behavior of the peaks corresponds to a band gap closure mechanism that differs from the traditional one characteristic of 1D and 3D inhomogeneities. These effects can be explained by a peculiarity of the energy conservation laws for the incident and scattered waves for 2D inhomogeneities in a 1D superlattice.

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Держатели документа:
[Ignatchenko, V. A.
Mankov, Yu. I.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Mankov, Yu. I.
Tsikalov, D. S.] Siberian Fed Univ, Krasnoyarsk 660062, Russia
ИФ СО РАН
L.V. Kirenskii Institute of Physics, Russian Academy of Sciences, Siberian Branch, Krasnoyarsk 660036, Russian Federation
Siberian Federal University, Krasnoyarsk 660062, Russian Federation

Доп.точки доступа:
Mankov, Y. I.; Tsikalov, D. S.; Цикалов, Денис Сергеевич; Игнатченко, Вальтер Алексеевич
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ORBITAL POLARIZATION IN METALLIC F-ELECTRON SYSTEMS / I. S. SANDALOV [et al.] // Phys. Rev. B. - 1995. - Vol. 51, Is. 20. - P. 13987-14000, DOI 10.1103/PhysRevB.51.13987. - Cited References: 28 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
Рубрики:
MOTT INSULATORS
   VOLUME COLLAPSE
   CERIUM
   LOCALIZATION
   TRANSITION
   PHASES
   MODEL

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Держатели документа:
RUSSIAN ACAD SCI,KIRENSKY INST PHYS,KRASNOYARSK 660036,RUSSIA
ИФ СО РАН
Condensed Matter Theory Group, Institute of Physics, University of Uppsala, Uppsala, Sweden
Kirensky Institute of Physics, Russian Academy of Sciences, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
SANDALOV, I. S.; Сандалов, Игорь Семёнович; HJORTSTAM, O.; JOHANSSON, B.; ERIKSSON, O.
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10.

Ignatchenko, V. A.
Partial restoration of the wave spectrum of a superlattice due to cross correlations between one- and three-dimensional inhomogeneities / V. A. Ignatchenko, Y. I. Mankov // Phys. Rev. B. - 2007. - Vol. 75, Is. 23. - Ст. 235422, DOI 10.1103/PhysRevB.75.235422. - Cited References: 32 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
ELASTIC MEDIUM THEORY
   PERIODIC MULTILAYERS
   SPIN-WAVES
   LOCALIZATION
   SYSTEMS
   SUSCEPTIBILITY
   DISORDER
   MEDIA
Аннотация: Effects of cross correlations between one-dimensional (1D) and three-dimensional (3D) random inhomogeneities on the wave spectrum in sinusoidal superlattices are studied theoretically. The situation when the gap in the spectrum (the forbidden zone) at the first Brillouin zone boundary of the superlattice is closed under the action of the 1D inhomogeneities is considered. The phenomenon of the partial opening of this gap is found when the 3D inhomogeneities cross correlated with the 1D inhomogeneities add to the superlattice. The appearance of the logarithmic resonance in the center of the forbidden zone under the action of the cross correlations is shown. The physical nature of the effects in the wave spectrum of the superlattice that are caused by the cross correlations and the relation of these effects with the asymptotic properties of the correlation function of inhomogeneities are discussed.

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Держатели документа:
SB RAS, LV Kirensky Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
L. V. Kirensky Institute of Physics, SB RAS, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Mankov, Y. I.; Игнатченко, Вальтер Алексеевич
}
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