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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ignatchenko V. A., Mankov Y. I., Maradudin A. A.
Заглавие : Wave spectrum of multilayers with finite thicknesses of interfaces
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2000. - Vol. 62, Is. 3. - P2181-2184. - ISSN 0163-1829, DOI 10.1103/PhysRevB.62.2181
Примечания : Cited References: 24
Предметные рубрики: SPIN
EXCITATIONS
MEDIA
Аннотация: To describe a 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. Depending on the value of the modulus kappa of the elliptic function, the model describes the limiting cases of multilayers with sharp interfaces (kappa=1, d/l=0, where d is the thickness of the interface, l is the period of the superlattice) and of sinusoidal superlattices (kappa=0, d/l=1/4), as Well as all intermediate situations. We investigate the wave spectrum in such a superlattice. The dependences of the widths of the gaps in the spectrum at the boundaries of ail odd Brillouin zones on the ratio d/l are found. It is shown that the thicknesses of the interfaces can be determined if the experimental value of the relation between the widths of the first gap Delta v(1) and any other gap Delta v(n) is known.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ignatchenko V. A., Mankov Y. I., Maradudin A. A.
Заглавие : The spectrum and damping of waves in partially randomized multilayers
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 1999. - Vol. 11, Is. 13. - P.2773-2790. - ISSN 0953-8984, DOI 10.1088/0953-8984/11/13/013
Примечания : Cited References: 24
Предметные рубрики: SPIN-WAVES
SEMICONDUCTOR SUPERLATTICES
LOCALIZATION
SYSTEMS
Аннотация: The spectrum and damping of waves in partially randomized multilayer structures are calculated. A method of calculation that was proposed and demonstrated earlier, for the model of a superlattice with a harmonic dependence of its material parameters along its axis in the initial state, is extended to the case of a multilayer structure (i.e., a superlattice with sharp interfaces). One- and three-dimensional random modulations of the period are considered, and the correlation function of the superlattice is derived as a series in which each term is a product of a harmonic and a monotonically decaying function. The law of decay of the correlation function is Gaussian for smooth inhomogeneities, and has different forms for one- and three-dimensional short-wavelength inhomogeneities. The spectrum and damping of waves in the superlattice described by this correlation function are found in the weak-coupling approximation in the vicinities of all of the odd Brillouin zone boundaries. Analytical dependences of the main characteristics of the spectrum and damping on the zone number n are obtained. The conditions for the closing of the gaps at the Brillouin zone boundaries are derived, and depend on the dimensionality of the inhomogeneities and the degree of their smoothness.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Mankov Y. I., Sadreev A. F.
Заглавие : Stochastic-instability of classical homogeneous SU(2) by U(1) fields with spontaneously broken symmetry
Место публикации : Zhurnal Eksperimentalnoi Teor. Fiz. - 1985. - Vol. 88, Is. 3. - P.705-714. - ISSN 0044-4510
Примечания : Cited References: 19
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Ignatchenko V. A., Mankov Y. I., Maradudin A. A.
Заглавие : Spin - Wave spectrum in randomly modulated superlattices
Место публикации : FRONTIERS IN MAGNETISM OF REDUCED DIMENSION SYSTEMS. Ser. NATO ADVANCED SCIENCE INSTITUTE SERIES, SUB-SERIES 3, HIGH TECHNOLOGY: SPRINGER, 1998. - Vol. 49: NATO Advanced Study Institute on Frontiers in Magnetism of Reduced Dimension Systems (MAY 25-JUN 03, 1997, CRIMEA, UKRAINE). - P217-222. - ISBN 0-7923-5026-X
Примечания : Cited References: 0
Аннотация: A theory of the spectrum of spin waves in partially randomized multilayers is developed. A model of a superlattice with sharp interfaces whose period is randomly modulated is considered. The correlation function of the randomness of the superlattice is deduced for one-dimensional planar inhomogeneities. The dispersion law and damping of the spin waves are calculated at the boundaries of the Brillouin zones of the superlattice in the weak-coupling approximation.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ignatchenko V. A., Mankov Y. I., Maradudin A. A.
Заглавие : Spectrum of waves in randomly modulated multilayers
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1999. - Vol. 59, Is. 1. - P42-45. - ISSN 0163-1829, DOI 10.1103/PhysRevB.59.42
Примечания : Cited References: 14
Предметные рубрики: SEMICONDUCTOR SUPERLATTICES
LOCALIZATION
SYSTEMS
Аннотация: The spectrum and damping of waves in partially randomized multilayer structures are calculated. A method of calculation which was proposed and demonstrated earlier for the model of a superlattice with a harmonic dependence of its material parameters along its axis in the initial state, is extended here to the case of a multilayer structure (i.e., a superlattice with sharp interfaces). One- and three-dimensional inhomogeneities are considered, and the correlation function of the superlattice is derived. The spectrum and damping of waves in the superlattice described by this correlation function are found in the weak-coupling approximation in the vicinities of all the odd Brillouin zone boundaries. [S0163-1829(99)14501-6].
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : IGNATCHENKO V. A., MANKOV Y. I., RAKHMANOV F. V.
Заглавие : PLASMA-WAVES IN NONUNIFORM SEMICONDUCTORS
Место публикации : Fiz. Tverd. Tela: MEZHDUNARODNAYA KNIGA, 1982. - Vol. 24, Is. 8. - P2292-2295. - ISSN 0367-3294
Примечания : Cited References: 3
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ignatchenko V. A., Mankov Y. I.
Заглавие : Partial restoration of the wave spectrum of a superlattice due to cross correlations between one- and three-dimensional inhomogeneities
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2007. - Vol. 75, Is. 23. - Ст.235422. - ISSN 1098-0121, DOI 10.1103/PhysRevB.75.235422
Примечания : Cited References: 32
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zakharov Y. V., Mankov Y. I., Titov L.S.
Заглавие : Negative low-temperature magnetoresistance of a magnetically nonuniform compensated metal
Место публикации : Fiz. Nizk. Temp. - 1986. - Vol. 12, Is. 4. - P.408-416. - ISSN 0132-6414
Примечания : Cited References: 24
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ignatchenko V. A., Mankov Y. I., Tsikalov D. S.
Заглавие : High-Frequency Susceptibility of a Superlattice with 2D Inhomogeneities
Коллективы :
Разночтения заглавия :авие SCOPUS: High-frequency susceptibility of a superlattice with 2D inhomogeneities
Место публикации : J. Exp. Theor. Phys.: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2008. - Vol. 107, Is. 4. - P603-611. - ISSN 1063-7761, DOI 10.1134/S1063776108100075
Примечания : 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.
Предметные рубрики: SPIN-WAVE SUSCEPTIBILITY
PERIODIC MULTILAYERS
LOCALIZATION
SYSTEMS
SPECTRUM
DISORDER
MEDIA
Ключевые слова (''Своб.индексиров.''): 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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Mankov Y. I., Tsikalov D. S.
Заглавие : High-frequency susceptibility of a multilayered ferromagnetic system with two-dimensional inhomogeneities
Коллективы :
Место публикации : Phys. Solid State: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2010. - Vol. 52, Is. 3. - P544-553. - ISSN 1063-7834, DOI 10.1134/S1063783410030157
Примечания : Cited References: 24. - This study was supported in part by the Council on Grants from the President of the Russian Federation for the State Support of Scientific Investigations performed by the Leading Scientific Schools (grant no. 3818.2008.3), the Presidium of the Russian Academy of Sciences (Program no. 27.1), and the Ministry of Education and Science within the framework of the Federal Program (State Contract no. 2.740.11.0220).
Предметные рубрики: SPIN-WAVE SUSCEPTIBILITY
SPECTRUM
SUPERLATTICES
INTERFACES
Аннотация: This paper reports on the results of the investigation of the high-frequency susceptibility of a layered ferromagnetic structure in which, apart from a periodic change in the magnetic anisotropy parameter from layer to layer, this parameter varies along layers according to a random law (the superlattice with two-dimensional phase inhomogeneities). The evolution of the frequency dependence of the imaginary part of the averaged Green's function in the range of the energy gap (band gap) in the spectrum of waves propagating along the superlattice axis due to the change in the relative root-mean-square fluctuations of the phase gamma 2 has been studied at the boundaries of the odd Brillouin zones. It has been found that, for all odd Brillouin zones, the imaginary part of the Green's function exhibits a universal behavior: the peak corresponding to the edge of the band gap with a lower frequency remains unchanged, and the peak corresponding to the edge of the band gap with a higher frequency is smoothed with an increase in the quantity gamma(2). These effects, which were initially revealed at the boundary of the first Brillouin zone of the sinusoidal superlattice, have been explained, as before, by the specific features of the energy conservation laws for the incident and scattered waves in the lattice with two-dimensional inhomogeneities. It has been demonstrated that an increase in the Brillouin zone number leads to a decrease in the value of gamma(2) at which the peak at the edge of the band gap with a higher frequency disappears.
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