SU (2) non-Abelian holonomy and dissipationless spin current in semiconductors
By Shuichi Murakami, N. Nagaosa, Shoucheng Zhang. 2003
235 citations recorded by the source corpus.
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 $\text{SU}(2)$ 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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/e68519b38bc84ab6cb4e9937bf99692c2bb39b4a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Berry phase effects on electronic properties (2009, background): “For example, in Murakami et al. (2003, 2004)’s original proposal of the spin Hall effect of holes, the parent space is the HH-LH complex.”