The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
The Quantum Spin Hall Effect
Abstract
Most quantum states of condensed matter are classified by the symmetries they break. For example, crystalline solids break translational symmetry, and ferromagnets break rotational symmetry. By contrast, topological states of matter evade traditional symmetry-breaking classification schemes, and they signal the existence of a fundamentally different organizational principle of quantum matter. The integer and fractional quantum Hall effects were the first topological states to be discovered in the 1980s, but they exist only in the presence of large magnetic fields. The search for topological states of matter that do not require magnetic fields for their observation led to the theoretical prediction in 2006 and experimental observation in 2007 of the so-called quantum spin Hall effect in HgTe quantum wells, a new topological state of quantum matter. In this article, we review the theoretical foundations and experimental discovery of the quantum spin Hall effect.
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Citations
Cites
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Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
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Self-citationQuantized Hall Conductance in a Two-Dimensional Periodic Potential
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Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
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Self-citationQuantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151
Self-citationTopological Insulators in Three Dimensions
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Self-citation
Cited by
Photonic topological insulators
Khanikaev, A. B., Hossein Mousavi, S., Tse, W.-K., Kargarian, M., MacDonald, A. H., & Shvets, G. (2013) · Nature Materials · doi:10.1038/nmat3520 · Cited by 1,971
Topological Materials: Weyl Semimetals
Yan, B., & Felser, C. (2017) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031016-025458 · Cited by 1,740
Vafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614
Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice
Khanikaev, A. B., Fleury, R., Mousavi, S. H., & Alù, A. (2015) · Nature Communications · doi:10.1038/ncomms9260 · Cited by 614
Interacting topological insulators: a review
Rachel, S. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aad6a6 · Cited by 382
Metadata
- Authors
- Maciejko, J., Hughes, T. L., & Zhang, S.-C.
- Venue
- Annual Review of Condensed Matter Physics
- Publisher
- Annual Reviews
- Published
- 2011-03-01
- Volume
- 2
- Issue
- 1
- Pages
- 31-53
- ISSN
- 1947-5454 (ISSN-L)
- 1947-5462
- OpenAlex
- W2096302237
- Cited by
- 209
- References
- 23
- FWCI
- 0.42
- Type
- journal article
- Language
- en
- Open access
- closed
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