Spin-Hall Insulator
Open accessAbstract
Recent theories predict dissipationless spin current induced by an electric field in doped semiconductors. Nevertheless, the charge current is still dissipative in these systems. In this work, we theoretically predict the dissipationless spin-Hall effect, without any accompanying charge current, in some classes of band insulators, including zero-gap semiconductors such as HgTe and narrow-gap semiconductors such as PbTe. This effect is similar to the quantum-Hall effect in that all the states below the gap contribute and there occurs no dissipation. However, the spin-Hall conductance is not quantized even in two dimensions. This is the first example of a nontrivial topological structure in a band insulator without any magnetic field.
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Kane and Mele showed in 2005 that imposing time-reversal symmetry in 2D electronic systems leads to new topological invariants.
“Kane and Mele showed in 2005 that imposing time-reversal symmetry in 2D electronic systems leads to new topological invariants. (57)”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [57]
Kane and Mele showed that starting from the 2D time-reversal-invariant crystal, there are two topological classes; instead of an integer-valued topological invariant, there is a Z2 invariant with two values, even and odd.
“Kane and Mele showed that starting from the 2D T -invariant crystal, there are two topological classes; instead of an integer-valued topological invariant, there is a ' Z 2 invariant with two values, 'even' and 'odd'.”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [57]
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Research works printed but not linked: 2
- [13]B. A. Bernevig, J. P. Hu, E. Mukamel, S. C. Zhang, cond-mat/0311024 (2003). · arXiv
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<i>Colloquium</i> : Topological insulators
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- Authors
- Murakami, S., Nagaosa, N., & Zhang, S.-C.
- Affiliations
- The University of Tokyo (JP)
- Japan Science and Technology Agency (JP)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-10-06
- Volume
- 93
- Issue
- 15
- Pages
- 156804-156804
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2069465438
- Cited by
- 346
- References
- 21
- Citations by year
- 2026: 13 · 2025: 10 · 2024: 20 · 2023: 15 · 2022: 11 · 2021: 19 · 2020: 39 · 2019: 15 · 2018: 11 · 2017: 21 · 2016: 12 · 2015: 12 · 2014: 15 · 2013: 11 · 2012: 17
- FWCI
- 7.95
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Tokyo Tech Research Repository (Tokyo Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
- Keywords
- spin Hall effect, band insulator, topological insulators, HgTe, PbTe, zero-gap semiconductors, narrow-gap semiconductors, spin Hall conductance, nontrivial topology
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