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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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Ignatchenko, V. A.
Green’s functions of spin and electromagnetic waves in the sinusoidal superlattice / V. A. Ignatchenko, D. S. Tsikalov // Solid State Phenom. : Selected, peer reviewed papers. - 2015. - Vol. 233-234: Achievements in Magnetism. - P. 47-50, DOI 10.4028/www.scientific.net/SSP.233-234.47 . - ISSN 1662-9779. - ISSN 978-3-038
Кл.слова (ненормированные):
Continued fractions -- Electromagnetic waves -- Green’s functions -- Magnonic crystals -- Photonic crystals -- Sinusoidal modulation -- Spin waves -- Superlattices -- Circular waveguides -- Fourier transforms -- Green's function -- Photonic crystals -- Spin waves -- Superlattices -- Analytical expressions -- Continued fraction -- Fourier transformations -- Magnonic crystals -- S function -- Sinusoidal modulation -- Spectral representations -- Electromagnetic waves
Аннотация: The problem of finding the Green's function of spin and electromagnetic waves in the sinusoidal superlattice is considered. An analytical expression for the spectral representation of the Green's function has been found in the form of ascending continued fractions, the particular denominators of which are ordinary continued fractions. The Green’s function in the r -space has been found by the numerical Fourier transformation of the Greens’s function found in the spectral representation. © (2015) Trans Tech Publications, Switzerland.

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Perov, N. \ed.\; Semisalova, A. \ed.\; Tsikalov, D. S.; Цикалов, Денис Сергеевич; Игнатченко, Вальтер Алексеевич; Moscow International Symposium on Magnetism(6 ; 2014 ; June-July ; Moscow)
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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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Ignatchenko, V. A.
Local density of states in one-dimensional photonic crystals and sinusoidal superlattices / V. A. Ignatchenko, D. S. Tsikalov // Physics Procedia : Elsevier, 2017. - Vol. 86. - P. 113-116, DOI 10.1016/j.phpro.2017.01.030. - Cited References: 14
Кл.слова (ненормированные):
photonic crystals -- Green's function -- LDOS -- sinusoidal modulation -- chain fractions
Аннотация: We have calculated the local density of states (LDOS) for four Brillouin zones of a superlattice for a plane source depending on its location relative to the change in the profile of dielectricpermeability (z) of the superlattice. It is shown that the LDOS for the cases of sinusoidal and rectangular profiles of (z) are close to each other in the first and second Brillouin zones, and sharp differences between them appear beginning with the third zone. Radical changes in the LDOS occur in a rectangular superlattice with different thicknesses of adjacent layers. In this case, the function LDOS has a sharp jump at the edges of the allowed bands in the transition from one layer to another. The effects studied theoretically in this paper, can be detected and studied experimentally by the intensively developing currently methods of nanooptics. © 2017 The Authors.

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Доп.точки доступа:
Tsikalov, D. S.; Цикалов, Денис Сергеевич; Игнатченко, Вальтер Алексеевич; International Conference on Photonics of Nano- and Bio-Structures(2015 ; 19-20 June ; Tomsk); International Conference on Photonics of Nano- and Micro-Structures(2015 ; 19-20 June ; Tomsk)
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Ignatchenko, V. A.
Spectral properties of superlattices with anisotropic inhomogeneities. The transition from 3D to 1D disorder / V. A. Ignatchenko, A. V. Pozdnyakov // Diffusion and Defect Data Pt.B: Solid State Phenomena. - 2011. - Vol. 168-169. - P. 85-88, DOI 10.4028/www.scientific.net/SSP.168-169.85 . - ISSN 1012-0394. - ISSN 9783-0378
Кл.слова (ненормированные):
Anisotropic inhomogeneities -- DOS -- Green's function -- Superlattice -- Susceptibility -- Waves -- Anisotropic inhomogeneities -- Continuous transitions -- Correlation properties -- Density of state -- Dynamic susceptibility -- Inhomogeneities -- Spectral properties -- Susceptibility -- Wave numbers -- Differential equations -- Magnetic susceptibility -- Superlattices -- Three dimensional -- Anisotropy
Аннотация: Waves in the superlattice (SL) contained inhomogeneities with anisotropic correlation properties are considered. The anisotropy of the correlations is characterized by the parameter ? = 1-k? / k ?, where k ? and k? are the correlation wave numbers along the axis of the SL and in the plane of its layers, respectively (r ? k ?-1 and r? = k?-1 are the correlation radii). Dependencies of both the dynamic susceptibility and density of states at the continuous transition from the isotropic three-dimensional inhomogeneities (? = 0 ) to the one-dimensional ones (? =1) have been obtained.

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Доп.точки доступа:
Pozdnyakov, A. V.; Игнатченко, Вальтер Алексеевич; Euro-Asian Symposium "Trends in MAGnetism"(4 ; 2010 ; Jun.-Jul. ; Ekaterinburg); "Trends in MAGnetism", Euro-Asian Symposium(4 ; 2010 ; Jun.-Jul. ; Ekaterinburg)
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Ignatchenko, V. A.
Spectral Properties of Superlattices with Anisotropic inhomogeneities. The Transition from 3D to 1D Disorder / V. A. Ignatchenko, A. V. Pozdnyakov ; ed. ko, VA Ignatch // TRENDS IN MAGNETISM. Ser. Solid State Phenomena / Euro-Asian Symposium "Trends in MAGnetism": Nanospintronics (4 ; 2010 ; 28 June-2 July ; Ekaterinburg) : TRANS TECH PUBLICATIONS LTD, 2011. - Vol. 168-169. - P. 85-88, DOI 10.4028/www.scientific.net/SSP.168-169.85. - Cited References: 4 . - ISBN 1012-0394

РУБ Materials Science, Multidisciplinary + Physics, Condensed Matter

Кл.слова (ненормированные):
superlattice -- waves -- anisotropic inhomogeneities -- Green's function -- susceptibility -- DOS
Аннотация: Waves in the superlattice (SL) contained inhomogeneities with anisotropic correlation properties are considered. The anisotropy of the correlations is characterized by the parameter lambda=1-k(perpendicular to)/k(parallel to), where k(parallel to) and k(perpendicular to) are the correlation wave numbers along the axis of the SL and in the plane of its layers, respectively (r(parallel to) = k(parallel to)(-1) and r(perpendicular to) = k(perpendicular to)(-1) are the correlation radii). Dependencies of both the dynamic susceptibility and density of states at the continuous transition from the isotropic three-dimensional inhomogeneities (lambda=0) to the one-dimensional ones (lambda=1) have been obtained.

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Доп.точки доступа:
Pozdnyakov, A. V.; Ignatchenko, V. A. \ed.\; Игнатченко, Вальтер Алексеевич; Euro-Asian Symposium "Trends in MAGnetism"(4 ; 2010 ; Jun.-Jul. ; Ekaterinburg); "Trends in MAGnetism", Euro-Asian Symposium(4 ; 2010 ; Jun.-Jul. ; Ekaterinburg)
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Ignatchenko, V. A.
Spectral properties of superlattices with anisotropic inhomogeneities. The transition from 3D to 2D disorder / V. A. Ignatchenko, A. V. Pozdnyakov // Diffusion and Defect Data Pt.B: Solid State Phenomena. - 2012. - Vol. 190. - P. 597-600, DOI 10.4028/www.scientific.net/SSP.190.597 . - ISBN 1012-0394. - ISBN 9783037854365
Кл.слова (ненормированные):
Anisotropic inhomogeneities -- DOS -- Green Function -- Superlattice -- Susceptibility -- Waves -- Anisotropic inhomogeneities -- Continuous transitions -- Correlation properties -- Density of state -- Dynamic susceptibility -- Inhomogeneities -- Spectral properties -- Wave numbers -- DOS -- Green's function -- Magnetic materials -- Magnetic susceptibility -- Superlattices -- Three dimensional -- Waves -- Anisotropy
Аннотация: Waves in superlattice (SL) contained inhomogeneities with anisotropic correlation properties are considered. The anisotropy of the correlation during the transition from 3D to 2D disorder is characterized by the parameter ? 1 = k ||/k?-1, where k || and k? are the correlation wave numbers along the axis of the SL and in the plane of the its layers, respectively (r || =k || -1 and r?=k?-1 are the correlation radii). Dependencies of both the dynamic susceptibility and density of states at the continuous transition from the isotropic three-dimensional inhomogeneities (? 1 = 0) to the twodimensional ones (? 1 = -1) have been obtained. В© (2012) Trans Tech Publications.

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Доп.точки доступа:
Pozdnyakov, A. V.; Поздняков, А.В.; Игнатченко, Вальтер Алексеевич; Moscow International Symposium on Magnetism(5 ; 2011 ; Aug. ; 21-25 ; Moscow)
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Ignatchenko, V. A.
Spectral properties of waves in superlattices with 2D and 3D inhomogeneities / V. A. Ignatchenko, D. S. Tsikalov // Journal of Experimental and Theoretical Physics. - 2011. - Vol. 113, Is. 2. - P. 232-244, DOI 10.1134/S1063776111080061 . - ISSN 1063-7761
Кл.слова (ненормированные):
Analytic expressions -- Brillouin zone boundary -- Density of state -- Dynamic susceptibility -- Inhomogeneities -- One-dimensional density -- Optical methods -- Optical structures -- Peak height -- Root mean squares -- Spectral properties -- Superlattice layers -- Two phase -- Wave numbers -- Green's function -- Magnetic susceptibility -- Optical multilayers -- Phase interfaces -- Three dimensional -- Superlattices
Аннотация: We investigate the dynamic susceptibility and one-dimensional density of states in an initially sinusoidal superlattice containing simultaneously 2D phase inhomogeneities simulating correlated rough-nesses of superlattice interfaces and 3D amplitude inhomogeneities of the superlattice layer materials. The analytic expression for the averaged Green's function of the sinusoidal superlattice with two phase inhomogeneities is derived in the Bourret approximation. It is shown that the effect of increasing asymmetry in the peak heights of dynamic susceptibility at the Brillouin zone boundary of the superlattice, which was discovered earlier [15] upon an increase in root-mean-square (rms) fluctuations, also takes place upon an increase in the correlation wavenumber of inhomogeneities. However, the peaks in this case also become closer, and the width and depth of the gap in the density of states decrease thereby. It is shown that the enhancement of rms fluctuations of 3D amplitude inhomogeneities in a superlattice containing 2D phase inhomogeneities suppresses the effect of dynamic susceptibility asymmetry and leads to a slight broadening of the gap in the density of states and a decrease in its depth. Targeted experiments aimed at detecting the effects studied here would facilitate the development of radio-spectroscopic and optical methods for identifying the presence of inhomogeneities of various dimensions in multilayer magnetic and optical structures. В© 2011 Pleiades Publishing, Ltd.

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Доп.точки доступа:
Tsikalov, D. S.; Цикалов, Денис Сергеевич; Игнатченко, Вальтер Алексеевич
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Ignatchenko, V. A.
Spin and elastic waves with the random coupling parameter / V. A. Ignatchenko, D. S. Polukhin // Diffusion and Defect Data Pt.B: Solid State Phenomena. - 2012. - Vol. 190. - P. 51-54, DOI 10.4028/www.scientific.net/SSP.190.51 . - ISBN 1012-0394. - ISBN 9783037854365
Кл.слова (ненормированные):
Dynamic susceptibility -- Elastic waves -- Inhomogeneities -- Magnetoelastic coupling -- Self-consistent approximation -- Spin waves -- Anti-resonance -- Dispersion law -- Dynamic susceptibility -- Inhomogeneities -- Magnetoelastic couplings -- Magnetoelastic waves -- Narrow resonances -- Physical nature -- Random couplings -- Self-consistent approximation -- Wave numbers -- Wavefields -- Green's function -- Magnetic materials -- Magnetic susceptibility -- Spin waves -- Elastic waves
Аннотация: Dynamic susceptibilities (Green's function) in a system of two wave fields of different physical nature connected by the zero-mean random coupling parameter are studied. Magnetoelastic waves in zero-mean magnetostrictive media are considered. It is shown that the Green's functions of the spin G? m(?) and elastic G? u(?) waves at the intersection of the initial dispersion laws have the form of broad single-mode peaks with the fine structure on the tops of these peaks: the narrow resonance on the top of G? m(?) and the narrow antiresonance on the top of G? u(?) For the longwave inhomogeneities the widths of the broad peaks and narrow peaks are determined by the rootmean- square fluctuation and the correlation wave number, respectively. В© (2012) Trans Tech Publications.

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Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич; Moscow International Symposium on Magnetism(5 ; 2011 ; Aug. ; 21-25 ; Moscow)
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10.

Kuz'min, E. V.
Quantum spin liquid in the FCC lattice / E. V. Kuz'min // J. Exp. Theor. Phys. - 2003. - Vol. 96, Is. 1. - P. 129-139, DOI 10.1134/1.1545392. - Cited References: 12 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
HEISENBERG-ANTIFERROMAGNET
TRANSITION
Кл.слова (ненормированные):
Antiferromagnetism -- Green's function -- Linear systems -- Magnetic couplings -- Quantum theory -- Thermodynamic properties -- Antiferromagnetic interactions -- Green temperature functions -- Heisenberg model -- Quantum spin liquid -- Spin system -- Spin-wave theory -- Crystal lattices
Аннотация: The properties of the spin system in the FCC lattice described by the Heisenberg model (s=1/2) with antiferromagnetic interactions between the nearest neighbors were studied. It was shown within the framework of spin-wave theory that long-range antiferromagnetic order was absent because of frustration of exchange coupling and transverse quantum spin fluctuations. The system was in the quantum spin liquid state. A method for describing it within linear second-order theory with self-consistently calculated parameters was suggested. It was proved that the ground spin liquid state was singlet. The thermodynamic properties of the spin liquid in the whole temperature range and the character of spatial spin correlations, which had alternating signs and a finite correlation length, were determined. The theory was constructed based on the method of two-time Green temperature functions. (C) 2003 MAIK "Nauka/Interperiodica".

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