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

anzhe0629 添加于 2010-11-26 16:11 | 1858 次阅读 | 1 个评论

作者
Murakami S, Nagosa N, Zhang S-C
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.
详细资料
- 文献种类:期刊
- 期刊名称: Physical Review B
- 期刊缩写: Phys. Rev. B
- 期卷页: 2004年第69卷第23期
- ISBN: 1098-0121
标签

Topoloogical insulator
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