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Thermally assisted magnetization reversal in the presence of a spin-transfer torque
Open accessAbstract
We propose a generalized stochastic Landau-Lifshitz equation and its corresponding Fokker-Planck equation for the magnetization dynamics in the presence of spin-transfer torques. Since the spin-transfer torque can pump a magnetic energy into the magnetic system, the equilibrium temperature of the magnetic system is ill defined. We introduce an effective temperature based on a stationary solution of the Fokker-Planck equation. In the limit of high-energy barriers, the law of thermal agitation is derived. We find that the N\'eel-Brown relaxation formula remains valid as long as we replace the temperature by an effective one that is linearly dependent on the spin torque. We carry out the numerical integration of the stochastic Landau-Lifshitz equation to support our theory. Our results agree with existing experimental data.
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Cites
Brownian motion in a field of force and the diffusion model of chemical reactions
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García-Palacios, J. L., & Lázaro, F. J. (1998) · Physical Review B · doi:10.1103/physrevb.58.14937 · Cited by 675
Thermally Assisted Magnetization Reversal in Submicron-Sized Magnetic Thin Films
Koch, R. H., Grinstein, G., Keefe, G., Lu, Y., Trouilloud, P. L., Gallagher, W. J., & Parkin, S. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.5419 · Cited by 141
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Cited by
Nonlocal magnetization dynamics in ferromagnetic heterostructures
Tserkovnyak, Y., Brataas, A., Bauer, G. E. W., & Halperin, B. I. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.1375 · Cited by 1,315
Microscopic approach to current-driven domain wall dynamics
Tatara, G., Kohno, H., & Shibata, J. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.07.003 · Cited by 423
Spin-transfer switching in MgO-based magnetic tunnel junctions (invited)
Diao, Z., Pakala, M., Panchula, A., Ding, Y., Apalkov, D., Wang, L.-C., Chen, E., & Huai, Y. (2006) · Journal of Applied Physics · doi:10.1063/1.2165169 · Cited by 51
Metadata
- Authors
- Li, Z., & Zhang, S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2004-04-12
- Volume
- 69
- Issue
- 13
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2043875936
- Cited by
- 414
- References
- 10
- FWCI
- 14.54
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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