SU(2) non-Abelian holonomy and dissipationless spin current in semiconductors
SU(2) non-Abelian holonomy and dissipationless spin current in semiconductors
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DOI：
10.1103/physrevb.69.235206
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发表时间：
2004-06-01
影响因子：
3.7
通讯作者：
Zhang, SC
中科院分区：
文献类型：
--
作者：
Murakami, S;Nagaosa, N;Zhang, SC
根据我们以前的工作[ S。Murakami，N. Nagaosa和S. C. Zhang，Science 301，1348（2003）]，基于线性响应理论和Kubo公式，给出了这种新效应的量子力学计算.我们表明，它是可能的，以定义一个完全保守的自旋电流，即使在存在的自旋轨道耦合的Luttinger哈密顿的p型半导体。轻空穴和重空穴的能带形成两个克拉默斯双峰，SU（2）非阿贝尔规范场自然地作用在每个双峰上。这种量子完整性在动量空间中产生了一种曲率结构，其曲率张量直接导致了新颖的无耗散自旋霍尔效应，即，通过电场产生横向自旋电流。本文的结果对半经典近似下得到的自旋流作了量子修正。
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.