The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Exponential Localization of Wannier Functions in Insulators
Open accessAbstract
The exponential localization of Wannier functions in two or three dimensions is proven for all insulators that display time-reversal symmetry, settling a long-standing conjecture. Our proof relies on the equivalence between the existence of analytic quasi-Bloch functions and the nullity of the Chern numbers (or of the Hall current) for the system under consideration. The same equivalence implies that Chern insulators cannot display exponentially localized Wannier functions. An explicit condition for the reality of the Wannier functions is identified.
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Citations
Cites
Chern number and edge states in the integer quantum Hall effect
Hatsugai, Y. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.3697 · Cited by 1,499
Nenciu, G. (1991) · Reviews of Modern Physics · doi:10.1103/revmodphys.63.91 · Cited by 374
Cited by
Maximally localized Wannier functions: Theory and applications
Marzari, N., Mostofi, A. A., Yates, J. R., Souza, I., & Vanderbilt, D. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1419 · Cited by 3,283
Self-citationTopological insulators and superconductors: tenfold way and dimensional hierarchy
Ryu, S., Schnyder, A. P., Furusaki, A., & Ludwig, A. W. W. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065010 · Cited by 2,045
Bradlyn, B., Elcoro, L., Cano, J., Vergniory, M. G., Wang, Z., Felser, C., Aroyo, M. I., & Bernevig, B. A. (2017) · Nature · doi:10.1038/nature23268 · Cited by 1,624
Quantum anomalous Hall effect and related topological electronic states
Weng, H., Yu, R., Hu, X., Dai, X., & Fang, Z. (2015) · Advances in Physics · doi:10.1080/00018732.2015.1068524 · Cited by 506
Metadata
- Authors
- Brouder, C., Panati, G., Calandra, M., Mourougane, C., & Marzari, N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-01-25
- Volume
- 98
- Issue
- 4
- Pages
- 046402-046402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1965675553
- Cited by
- 409
- References
- 2
- FWCI
- 5.30
- Type
- journal article
- Language
- en
- Open access
- green
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- Brouder, C., Panati, G., Calandra, M., Mourougane, C., & Marzari, N. (2007). Exponential Localization of Wannier Functions in Insulators. Physical Review Letters. https://doi.org/10.1103/physrevlett.98.046402
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