Abstract
Following our previous work [S. Murakami, N. Nagaosa, S. C. Zhang, Science\n301, 1348 (2003)] on the dissipationless quantum spin current, we present an\nexact quantum mechanical calculation of this novel effect based on the linear\nresponse theory and the Kubo formula. We show that it is possibxle to define an\nexactly conserved spin current, even in the presence of the spin-orbit coupling\nin the Luttinger Hamiltonian of p-type semiconductors. The light- and the\nheavy-hole bands form two Kramers doublets, and an SU(2) non-abelian gauge\nfield acts naturally on each of the doublets. This quantum holonomy gives rise\nto a monopole structure in momentum space, whose curvature tensor directly\nleads to the novel dissipationless spin Hall effect, i.e., a transverse spin\ncurrent is generated by an electric field. The result obtained in the current\nwork gives a quantum correction to the spin current obtained in the previous\nsemiclassical approximation.\n
Keywords
PhysicsSemiclassical physicsHamiltonian (control theory)Spin (aerodynamics)Quantum mechanicsMathematical physicsQuantumMathematics
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Publication Info
- Year
- 2004
- Type
- article
- Volume
- 69
- Issue
- 23
- Citations
- 336
- Access
- Closed
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Cite This
Shuichi Murakami,
Naoto Nagosa,
Shoucheng Zhang
(2004).
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mtext>SU</mml:mtext><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>non-Abelian holonomy and dissipationless spin current in semiconductors.
Physical Review B
, 69
(23)
.
https://doi.org/10.1103/physrevb.69.235206
Identifiers
- DOI
- 10.1103/physrevb.69.235206