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Electric polarization as a bulk quantity and its relation to surface charge
Abstract
A definition of the electric polarization of an insulating crystalline solid is given in terms of the centers of charge of the Wannier functions of the occupied bands. The change of this quantity under an adiabatic evolution of the Hamiltonian has previously been shown to correspond to the physical change in polarization. Here, we show that the polarization as defined above also has a direct and predictive relationship to the surface charge which accumulates at an insulating surface or interface.
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Cites
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Berry’s phase for energy bands in solids
Zak, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2747 · Cited by 1,950
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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
Kühne, T. D., Iannuzzi, M., Del Ben, M., Rybkin, V. V., Seewald, P., Stein, F., Laino, T., Khaliullin, R. Z., Schütt, O., Schiffmann, F., et al. (2020) · The Journal of Chemical Physics · doi:10.1063/5.0007045 · Cited by 4,468
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-citationClassification 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 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
Metadata
- Authors
- Vanderbilt, D., & King-Smith, R. D.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1993-08-15
- Volume
- 48
- Issue
- 7
- Pages
- 4442-4455
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2054225720
- Cited by
- 1,295
- References
- 2
- FWCI
- 2.95
- Type
- journal article
- Language
- en
- Open access
- closed
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- Vanderbilt, D., & King-Smith, R. D. (1993). Electric polarization as a bulk quantity and its relation to surface charge. Physical Review B. https://doi.org/10.1103/physrevb.48.4442
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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