The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Disordered topological insulators via C * -algebras
Open accessAbstract
The theory of almost commuting matrices can be used to quantify topological obstructions to the existence of localized Wannier functions with time-reversal symmetry in systems with time-reversal symmetry and strong spin-orbit coupling. We present a numerical procedure that calculates a Z 2 invariant using these techniques, and apply it to a model of HgTe. This numerical procedure allows us to access sizes significantly larger than procedures based on studying twisted boundary conditions. Our numerical results indicate the existence of a metallic phase in the presence of scattering between up and down spin components, while there is a sharp transition when the system decouples into two copies of the quantum Hall effect. In addition to the Z 2 invariant calculation in the case when up and down components are coupled, we also present a simple method of evaluating the integer invariant in the quantum Hall case where they are decoupled.
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Cites
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Quantum 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
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523
Topological insulators beyond the Brillouin zone via Chern parity
Essin, A. M., & Moore, J. E. (2007) · Physical Review B · doi:10.1103/physrevb.76.165307 · Cited by 98
Cited by
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Classification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
Topological bands for ultracold atoms
Cooper, N. R., Dalibard, J., & Spielman, I. B. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015005 · Cited by 940
Z2Pack: Numerical implementation of hybrid Wannier centers for identifying topological materials
Gresch, D., Autès, G., Yazyev, O. V., Troyer, M., Vanderbilt, D., Bernevig, B. A., & Soluyanov, A. A. (2017) · Physical Review B · doi:10.1103/physrevb.95.075146 · Cited by 438
Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
Mondragon-Shem, I., Hughes, T. L., Song, J., & Prodan, E. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.046802 · Cited by 279
Metadata
- Authors
- Loring, T. A., & Hastings, M. B.
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2010-12-01
- Volume
- 92
- Issue
- 6
- Pages
- 67004
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2034121781
- Cited by
- 226
- References
- 5
- FWCI
- 3.62
- Type
- journal article
- Language
- en
- Open access
- green
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