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Ignatchenko, V. A.
Waves in a superlattice with anisotropic inhomogeneities / V. A. Ignatchenko, A. A. Maradudin, A. V. Poszdnyakov // JETP Letters. - 2003. - Vol. 78, Is. 9. - P. 592-596, DOI 10.1134/1.1641491. - Cited References: 28 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
PERIODIC MULTILAYERS
   SPIN-WAVES
   SPECTRUM
   LOCALIZATION
   SYSTEMS
   MEDIA
   DISORDER
   AVERAGE
Аннотация: Dependences of the dispersion laws and damping of waves in an initially sinusoidal superlattice on inhomogeneities with anisotropic correlation properties are studied for the first time. The period of the superlattice is modulated by the random function described by the anisotropic correlation function K-phi(r) that has different correlation radii, k(parallel toparallel to)(-1) and k(perpendicular to)(-1), along the axis of the superlattice z and in the plane xy, respectively. The anisotropy of the correlation is characterized by the parameter lambda = 1 - k(perpendicular to)/k(parallel toparallel to) that can change from lambda = 0 to lambda = 1 when the correlation wave number k(perpendicular to) changes from k(perpendicular to) = k(parallel toparallel to) (isotropic 3D inhomogeneities) to k(perpendicular to) = 0 (1D inhomogeneities). The correlation function of the superlattice K(r) is developed. Its decreasing part goes to the asymptote L that divides the correlation volume into two parts, characterized by finite and infinite correlation radii. The dependences of the width of the gap in the spectrum at the boundary of the Brillouin zone Deltanu and the damping of waves xi on the value of lambda are studied. It is shown that decreasing L leads to the decrease of Deltanu, and increase of xi, with the increase of lambda. (C) 2003 MAIK "Nauka / Interperiodica".

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

Доп.точки доступа:
Maradudin, A. A.; Poszdnyakov, A. V.; 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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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

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