corner
corner

Phys. Rev. B 76, 024404 (2007) [8 pages]

Current-induced order parameter dynamics: Microscopic theory applied to Co∕Cu∕Co spin valves

Download: PDF (163 kB) Buy this article Export: BibTeX or EndNote (RIS)

P. M. Haney1,*, D. Waldron2,†, R. A. Duine3,‡, A. S. Núñez4,§, H. Guo2,**, and A. H. MacDonald1,††
1Department of Physics, The University of Texas at Austin, 1 University Station C1600, Austin, Texas 78712-0264, USA
2Centre for the Physics of Materials and Department of Physics, McGill University, Montreal, Québec, Canada H3A 2T8
3Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands
4Instituto de Física, PUCV, Avenida Brasil 2950, Casilla 4059, Valparaíso, Chile

See Also: Erratum

Received 18 December 2006; revised 20 May 2007; published 5 July 2007

Transport currents can alter order parameter dynamics and change steady states in superconductors, in ferromagnets, and in hybrid systems. In this paper, we present a scheme for fully microscopic evaluation of order parameter dynamics that is intended for application to nanoscale systems. The approach relies on time-dependent mean-field theory, on an adiabatic approximation, and on the use of nonequilibrium Green’s function theory to calculate the influence of a bias voltage across a system on its steady-state density matrix. We apply this scheme to examine the spin-transfer torques which drive magnetization dynamics in Co∕Cu∕Co spin-valve structures. Our microscopic torques are peaked near Co∕Cu interfaces, in agreement with most previous pictures, but surprisingly act mainly on Co transition metal d orbitals rather than on s orbitals as generally supposed.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.76.024404
DOI:
10.1103/PhysRevB.76.024404
PACS:
85.75.−d, 71.15.Mb, 72.25.Ba

*haney411@physics.utexas.edu

derek.waldron@mail.mcgill.ca

duine@phys.uu.nl

§alvaro.nunez@ucv.cl

**guo@physics.mcgill.ca

††macd@physics.utexas.edu; http://www.ph.utexas.edu/∼haney411/paulh.html

See Also

Erratum: P. M. Haney, D. Waldron, R. A. Duine, A. S. Núñez, H. Guo, and A. H. MacDonald, Erratum: Current-induced order parameter dynamics: Microscopic theory applied to Co∕Cu∕Co spin valves [Phys. Rev. B 76, 024404 (2007)], Phys. Rev. B 77, 059901 (2008).