Gilbert damping and spin Coulomb drag in a magnetized electron liquid with spin-orbit interaction

被引:22
作者
Hankiewicz, E. M. [1 ]
Vignale, G.
Tserkovnyak, Y.
机构
[1] Univ Missouri, Dept Phys & Astron, Columbia, MO 65211 USA
[2] Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA
关键词
D O I
10.1103/PhysRevB.75.174434
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a microscopic calculation of the Gilbert damping constant for the magnetization of a two-dimensional spin-polarized electron liquid in the presence of intrinsic spin-orbit interaction. First, we show that the Gilbert constant can be expressed in terms of the autocorrelation function of the spin-orbit induced torque. Then, we specialize to the case of the Rashba spin-orbit interaction and we show that the Gilbert constant in this model is related to the spin-channel conductivity. This allows us to study the Gilbert damping constant in different physical regimes, characterized by the interplay of different energy scales-spin-orbit coupling, Zeeman coupling, momentum relaxation rate, spin Coulomb drag relaxation rate, and driving frequency-and to discuss its behavior in various limits. Particular attention is paid to electron-electron interaction effects, which enter the spin conductivity and hence the Gilbert damping constant via the spin Coulomb drag coefficient.
引用
收藏
页数:17
相关论文
共 34 条
[21]   Effect of spin diffusion on Gilbert damping for a very thin permalloy layer in Cu/permalloy/Cu/Pt films [J].
Mizukami, S ;
Ando, Y ;
Miyazaki, T .
PHYSICAL REVIEW B, 2002, 66 (10) :1044131-1044139
[22]   Dissipationless quantum spin current at room temperature [J].
Murakami, S ;
Nagaosa, N ;
Zhang, SC .
SCIENCE, 2003, 301 (5638) :1348-1351
[23]   Spin dynamics from time-dependent spin-density-functional theory [J].
Qian, ZX ;
Vignale, G .
PHYSICAL REVIEW LETTERS, 2002, 88 (05) :4
[24]   Generating spin currents in semiconductors with the spin hall effect [J].
Sih, V. ;
Lau, W. H. ;
Myers, R. C. ;
Horowitz, V. R. ;
Gossard, A. C. ;
Awschalom, D. D. .
PHYSICAL REVIEW LETTERS, 2006, 97 (09)
[25]   Universal intrinsic spin Hall effect [J].
Sinova, J ;
Culcer, D ;
Niu, Q ;
Sinitsyn, NA ;
Jungwirth, T ;
MacDonald, AH .
PHYSICAL REVIEW LETTERS, 2004, 92 (12) :126603-1
[26]   Magnetization relaxation in (Ga,Mn)As ferromagnetic semiconductors [J].
Sinova, J ;
Jungwirth, T ;
Liu, X ;
Sasaki, Y ;
Furdyna, JK ;
Atkinson, WA ;
MacDonald, AH .
PHYSICAL REVIEW B, 2004, 69 (08)
[27]   SPIN FLUCTUATION DAMPING OF MAGNONS IN ITINERANT-ELECTRON MAGNETS [J].
SOLONTSOV, AZ ;
VASILEV, AN .
PHYSICS LETTERS A, 1993, 177 (4-5) :362-366
[28]  
STEIAUF D, 2006, PHYS REV B, V74
[29]   Theory of the magnetic damping constant [J].
Suhl, H .
IEEE TRANSACTIONS ON MAGNETICS, 1998, 34 (04) :1834-1838
[30]   Nonlocal magnetization dynamics in ferromagnetic heterostructures [J].
Tserkovnyak, Y ;
Brataas, A ;
Bauer, GEW ;
Halperin, BI .
REVIEWS OF MODERN PHYSICS, 2005, 77 (04) :1375-1421