The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
SU(2)non-Abelian holonomy and dissipationless spin current in semiconductors
Open accessAbstract
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.
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Spintronics: A Spin-Based Electronics Vision for the Future
Wolf, S. A., Awschalom, D. D., Buhrman, R. A., Daughton, J. M., von Molnár, S., Roukes, M. L., Chtchelkanova, A. Y., & Treger, D. M. (2001) · Science · doi:10.1126/science.1065389 · Cited by 11,442
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Making Nonmagnetic Semiconductors Ferromagnetic
Ohno, H. (1998) · Science · doi:10.1126/science.281.5379.951 · Cited by 4,806
Electronic analog of the electro-optic modulator
Datta, S., & Das, B. (1990) · Applied Physics Letters · doi:10.1063/1.102730 · Cited by 4,800
Oscillatory effects and the magnetic susceptibility of carriers in inversion layers
Bychkov, Y. A., & Rashba, E. I. (1984) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/17/33/015 · Cited by 2,972
Pseudoparticle solutions of the Yang-Mills equations
Belavin, A. A., Polyakov, A. M., Schwartz, A. S., & Tyupkin, Y. S. (1975) · Physics Letters B · doi:10.1016/0370-2693(75)90163-x · Cited by 2,878
Gate Control of Spin-Orbit Interaction in an Inverted In0.53Ga0.47As/In0.52Al0.48As Heterostructure
Nitta, J., Akazaki, T., Takayanagi, H., & Enoki, T. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.1335 · Cited by 2,284
Quantum Theory of Cyclotron Resonance in Semiconductors: General Theory
Luttinger, J. M. (1956) · Physical Review · doi:10.1103/physrev.102.1030 · Cited by 2,199
Universal Intrinsic Spin Hall Effect
Sinova, J., Culcer, D., Niu, Q., Sinitsyn, N. A., Jungwirth, T., & MacDonald, A. H. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.126603 · Cited by 2,153
Cited by
Quantum Spin Hall Effect in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197
Z 2 Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
Topological field theory of time-reversal invariant insulators
Qi, X.-L., Hughes, T. L., & Zhang, S.-C. (2008) · Physical Review B · doi:10.1103/physrevb.78.195424 · Cited by 3,329
Self-citation
Metadata
- Authors
- Murakami, S., Nagosa, N., & Zhang, S.-C.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2004-06-22
- Volume
- 69
- Issue
- 23
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1989505161
- Cited by
- 342
- References
- 36
- FWCI
- 22.52
- Type
- journal article
- Language
- en
- Open access
- green
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