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Hamiltonian and Lagrangian Dynamical Matrix Approaches Applied to Magnetic Nanostructures
Joint Authors
Zivieri, Roberto
Consolo, Giancarlo
Source
Advances in Condensed Matter Physics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-13
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Two micromagnetic tools to study the spin dynamics are reviewed.
Both approaches are based upon the so-called dynamical matrix method, a hybrid micromagnetic framework used to investigate the spin-wave normal modes of confined magnetic systems.
The approach which was formulated first is the Hamiltonian-based dynamical matrix method.
This method, used to investigate dynamic magnetic properties of conservative systems, was originally developed for studying spin excitations in isolated magnetic nanoparticles and it has been recently generalized to study the dynamics of periodic magnetic nanoparticles.
The other one, the Lagrangian-based dynamical matrix method, was formulated as an extension of the previous one in order to include also dissipative effects.
Such dissipative phenomena are associated not only to intrinsic but also to extrinsic damping caused by injection of a spin current in the form of spin-transfer torque.
This method is very accurate in identifying spin modes that become unstable under the action of a spin current.
The analytical development of the system of the linearized equations of motion leads to a complex generalized Hermitian eigenvalue problem in the Hamiltonian dynamical matrix method and to a non-Hermitian one in the Lagrangian approach.
In both cases, such systems have to be solved numerically.
American Psychological Association (APA)
Zivieri, Roberto& Consolo, Giancarlo. 2012. Hamiltonian and Lagrangian Dynamical Matrix Approaches Applied to Magnetic Nanostructures. Advances in Condensed Matter Physics،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-497095
Modern Language Association (MLA)
Zivieri, Roberto& Consolo, Giancarlo. Hamiltonian and Lagrangian Dynamical Matrix Approaches Applied to Magnetic Nanostructures. Advances in Condensed Matter Physics No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-497095
American Medical Association (AMA)
Zivieri, Roberto& Consolo, Giancarlo. Hamiltonian and Lagrangian Dynamical Matrix Approaches Applied to Magnetic Nanostructures. Advances in Condensed Matter Physics. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-497095
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497095