Sudorgin S.A., Lebedev N.G., Ivanchenko G.S., Ignatyev V.K. Calculation of the Magnetic Susceptibility of Yttrium Iron Garnet Films With Linear Structural Defects Such as Straight-Through Crack in an External Magnetic Field

http://dx.doi.org/10.15688/jvolsu1.2016.1.6

Sergey Aleksandrovich Sudorgin
Candidate of Physical and Mathematical Sciences, Assistant,
Department of Theoretical Physics and Wave Processes,
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Nikolay Gennadyevich Lebedev
Doctor of Physical and Mathematical Sciences, Professor,
Department of Theoretical Physics and Wave Processes,
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Gennadiy Sergeevich Ivanchenko
Candidate of Physical and Mathematical Sciences, Associate Professor,
Department of Information Systems and Computer Modeling,
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Vyacheslav Konstantinovich Ignatyev
Doctor of Physical and Mathematical Sciences, Professor,
Department of Radiophysics,
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. The authors propose the method of calculating the scattering field and its linear characteristics of nanoscale defects in ferromagnetic films on the basis of the Hubbard model which describes the movement of electrons on the grid and the local Coulomb interaction when they are on the same node. Yttrium iron garnet (YIG) in the form of single crystals and epitaxial films is the most important for practical applications.
We use the strong coupling approximation for the calculation of the yttrium iron garnet films magnetic susceptibility. We obtained the analytical expression for the dynamic magnetic susceptibility in the random phase approximation. Longitudinal and transverse dynamics of magnetic susceptibility of quasi thin films containing linear defects was calculated. Distributions of the magnetic susceptibility were analyzed in the films of yttrium iron garnet with a linear structural defect such as straight-through crack.
Distribution of magnetic susceptibility was analyzed for YIG films without defects, and for films with defects of varying widths. The yttrium iron garnet crystal lattice can be approximately considered as cubic. The dependence of the longitudinal dynamic magnetic susceptibility of the coordinates was obtained using the Fourier transform. Simulation for different spatial arrangement of linear structural defect such as straight-through crack in YIG films was produced. The influence of the geometric dimensions of the ferromagnetic films was investigated according to the characteristics of the stray field.

Key words: yttrium iron garnet, dynamic magnetic susceptibility, Hubbard model, structural defects, external magnetic field.

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Calculation of the Magnetic Susceptibility of Yttrium Iron Garnet Films With Linear Structural Defects Such as Straight-Through Crack in an External Magnetic Field by Sudorgin S.A., Lebedev N.G., Ivanchenko G.S., Ignatyev V.K. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in EnglishScience Journal of Volgograd State University. Mathematics. Physics. No. 1 (32) 2016 pp. 57-65

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