On the Formulation of the Exchange Field in the Landau-Lifshitz Equation for Spin-Wave Calculation in Magnonic Crystals
Joint Authors
Krawczyk, Maciej
Mamica, Sławomir
Kłos, Jarosław Wojciech
Sokolovskyy, M. L.
Source
Advances in Condensed Matter Physics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-07
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The calculation of the magnonic spectra using the plane-wave method has limitations, the origin of which lies in the formulation of the effective magnetic field term in the equation of motion (the Landau-Lifshitz equation) for composite media.
According to ideas of the plane-wave method the system dynamics is described in terms of plane waves (a superposition of a number of plane waves), which are continuous functions and propagate throughout the medium.
Since in magnonic crystals the sought-for superposition of plane waves represents the dynamic magnetization, the magnetic boundary conditions on the interfaces between constituent materials should be inherent in the Landau-Lifshitz equations.
In this paper we present the derivation of the two expressions for the exchange field known from the literature.
We start from the Heisenberg model and use a linear approximation and take into account the spacial dependence of saturation magnetization and exchange constant present in magnetic composites.
We discuss the magnetic boundary conditions included in the presented formulations of the exchange field and elucidate their effect on spin-wave modes and their spectra in one- and two-dimensional planar magnonic crystals from plane-wave calculations.
American Psychological Association (APA)
Krawczyk, Maciej& Sokolovskyy, M. L.& Kłos, Jarosław Wojciech& Mamica, Sławomir. 2012. On the Formulation of the Exchange Field in the Landau-Lifshitz Equation for Spin-Wave Calculation in Magnonic Crystals. Advances in Condensed Matter Physics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-497014
Modern Language Association (MLA)
Krawczyk, Maciej…[et al.]. On the Formulation of the Exchange Field in the Landau-Lifshitz Equation for Spin-Wave Calculation in Magnonic Crystals. Advances in Condensed Matter Physics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-497014
American Medical Association (AMA)
Krawczyk, Maciej& Sokolovskyy, M. L.& Kłos, Jarosław Wojciech& Mamica, Sławomir. On the Formulation of the Exchange Field in the Landau-Lifshitz Equation for Spin-Wave Calculation in Magnonic Crystals. Advances in Condensed Matter Physics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-497014
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497014