SU(2) non-Abelian holonomy and dissipationless spin current in semiconductors

被引:312
作者
Murakami, S [1 ]
Nagaosa, N
Zhang, SC
机构
[1] Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan
[2] CERC, Tsukuba, Ibaraki 3058562, Japan
[3] Japan Sci & Technol Corp, CREST, Kawagoe, Saitama 3320012, Japan
[4] Stanford Univ, Dept Phys, Stanford, CA 94305 USA
来源
PHYSICAL REVIEW B | 2004年 / 69卷 / 23期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevB.69.235206
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Following our previous work [ S. Murakami, N. Nagaosa, and S. C. Zhang, Science 301, 1348 (2003) ] on the dissipationless quantum spin current, we present an exact quantum-mechanical calculation of this novel effect based on the linear-response theory and the Kubo formula. We show that it is possible to define an exactly conserved spin current, even in the presence of the spin-orbit coupling in the Luttinger Hamiltonian of p-type semiconductors. The light- and the heavy-hole bands form two Kramers doublets, and an SU(2) non-Abelian gauge field acts naturally on each of the doublets. This quantum holonomy gives rise to a monopole structure in momentum space, whose curvature tensor directly leads to the novel dissipationless spin Hall effect, i.e., a transverse spin current is generated by an electric field. The result obtained in the current work gives a quantum correction to the spin current obtained in the previous semiclassical approximation.
引用
收藏
页码:235206 / 1
页数:14
相关论文
共 37 条
[1]   Non-Abelian geometric phases and conductance of spin-3/2 holes [J].
Arovas, DP ;
Lyanda-Geller, Y .
PHYSICAL REVIEW B, 1998, 57 (19) :12302-12305
[2]   TOPOLOGICAL INVARIANTS IN FERMI SYSTEMS WITH TIME-REVERSAL INVARIANCE [J].
AVRON, JE ;
SADUN, L ;
SEGERT, J ;
SIMON, B .
PHYSICAL REVIEW LETTERS, 1988, 61 (12) :1329-1332
[3]   PSEUDOPARTICLE SOLUTIONS OF YANG-MILLS EQUATIONS [J].
BELAVIN, AA ;
POLYAKOV, AM ;
SCHWARTZ, AS ;
TYUPKIN, YS .
PHYSICS LETTERS B, 1975, 59 (01) :85-87
[5]   OSCILLATORY EFFECTS AND THE MAGNETIC-SUSCEPTIBILITY OF CARRIERS IN INVERSION-LAYERS [J].
BYCHKOV, YA ;
RASHBA, EI .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1984, 17 (33) :6039-6045
[6]   Magnetotransport in manganites and the role of quantal phases: Theory and experiment [J].
Chun, SH ;
Salamon, MB ;
Lyanda-Geller, Y ;
Goldbart, PM ;
Han, PD .
PHYSICAL REVIEW LETTERS, 2000, 84 (04) :757-760
[7]  
CULCER D, CONDMAT0309475
[8]   ELECTRONIC ANALOG OF THE ELECTROOPTIC MODULATOR [J].
DATTA, S ;
DAS, B .
APPLIED PHYSICS LETTERS, 1990, 56 (07) :665-667
[9]   Non-Abelian holonomy of BCS and SDW quasiparticles [J].
Demler, E ;
Zhang, SC .
ANNALS OF PHYSICS, 1999, 271 (01) :83-119
[10]   The anomalous Hall effect and magnetic monopoles in momentum space [J].
Fang, Z ;
Nagaosa, N ;
Takahashi, KS ;
Asamitsu, A ;
Mathieu, R ;
Ogasawara, T ;
Yamada, H ;
Kawasaki, M ;
Tokura, Y ;
Terakura, K .
SCIENCE, 2003, 302 (5642) :92-95