http://www.cnr.it/ontology/cnr/individuo/prodotto/ID190604
Lagrangian formulation of the linear autonomous magnetization dynamics in spin-torque auto-oscillators (Articolo in rivista)
- Type
- Label
- Lagrangian formulation of the linear autonomous magnetization dynamics in spin-torque auto-oscillators (Articolo in rivista) (literal)
- Anno
- 2011-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1016/j.amc.2011.02.043 (literal)
- Alternative label
G. Consolo(1,3), G. Gubbiotti(2), L. Giovannini(1,3) and R. Zivieri(1,3) (2011)
Lagrangian formulation of the linear autonomous magnetization dynamics in spin-torque auto-oscillators
in Applied mathematics and computation
(literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- G. Consolo(1,3), G. Gubbiotti(2), L. Giovannini(1,3) and R. Zivieri(1,3) (literal)
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- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- (1) Department of Physics and CNISM, University of Ferrara, Via G. Saragat 1, 44122 Ferrara, Italy
(2) Istituto Officina dei Materiali del CNR (CNR-IOM), Research unit of Perugia, c/o Department of Physics, Via A. Pascoli, I-06123 Perugia, Italy
(3) CNISM, Research unit of Perugia, Department of Physics, University of Perugia, Via A. Pascoli, 06123 Perugia, Italy (literal)
- Titolo
- Lagrangian formulation of the linear autonomous magnetization dynamics in spin-torque auto-oscillators (literal)
- Abstract
- A Lagrangian formalism is used to find steady-state solution of the Landau-Lifshitz-Gilbert-Slonczewski equation corresponding to the linear autonomous dynamics of a magnetic auto-oscillatory system subject to the action of a spin-polarized electric current. In such a system, two concurrent dissipative mechanisms, arising from the positive intrinsic dissipation and the negative current-induced one, take place simultaneously and make the excitation of a steady precessional motion of the magnetization vector conceivable. The proposed formulation leads to the definition of a complex generalized non-Hermitian Eigenvalue problem, both in the case of a macrospin model and in the more general case of an ensemble of magnetic particles interacting each other through magnetostatic and exchange interactions. This method allows to identify the spin-wave normal modes which become unstable in the presence of the two competing dissipative contributions and provides an accurate estimation of the value of the excitation threshold current. (literal)
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