The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Theory of the electric polarization in crystals
Abstract
Contrary to common textbook statements, the macroscopic electric polarization of a crystal cannot be unambiguously defined as the dipole of a unit cell. The only measurable quantities are either derivatives of the polarization (dielectric susceptibility, Born effective charges, piezoelectricity, pyroelectricity) or finite differences (ferroelectricity). The differential concept is a basic one in theoretical work too. I sketch here the basic theory and the state of the art in its implementation to real materials, both for induced and spontaneous polarization; for the latter case, I also propose a novel approach.
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Citations
Cites
Electrodynamics of Continuous Media
Landau, L. D., Lifshitz, E. M., & King, A. L. (1961) · American Journal of Physics · doi:10.1119/1.1937882 · Cited by 10,997
Principles and Applications of Ferroelectrics and Related Materials
Lines, M. E., & Glass, A. M. (2001) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198507789.001.0001 · Cited by 5,257
Green’s-function approach to linear response in solids
Baroni, S., Giannozzi, P., & Testa, A. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1861 · Cited by 2,109
Electrodynamics of continuous media
Poots, G. (1961) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(61)90084-9 · Cited by 1,984
Ab initio calculation of the macroscopic dielectric constant in silicon
Baroni, S., & Resta, R. (1986) · Physical Review B · doi:10.1103/physrevb.33.7017 · Cited by 586
Self-citationHybertsen, M. S., & Louie, S. G. (1987) · Physical Review B · doi:10.1103/physrevb.35.5585 · Cited by 386
Martin, R. M. (1972) · Physical Review B · doi:10.1103/physrevb.5.1607 · Cited by 356
Piezoelectric properties of III-V semiconductors from first-principles linear-response theory
de Gironcoli, S., Baroni, S., & Resta, R. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2853 · Cited by 234
Self-citationComment on calculations of electric polarization in crystals
Martin, R. M. (1974) · Physical Review B · doi:10.1103/physrevb.9.1998 · Cited by 215
Ab initiostudy of the spontaneous polarization of pyroelectric BeO
Posternak, M., Baldereschi, A., Catellani, A., & Resta, R. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1777 · Cited by 119
Self-citation
Cited by
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
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
Macroscopic polarization in crystalline dielectrics: the geometric phase approach
Resta, R. (1994) · Reviews of Modern Physics · doi:10.1103/revmodphys.66.899 · Cited by 2,545
Self-citationBenalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Physical Review B · doi:10.1103/physrevb.96.245115 · Cited by 1,389
Electric polarization as a bulk quantity and its relation to surface charge
Vanderbilt, D., & King-Smith, R. D. (1993) · Physical Review B · doi:10.1103/physrevb.48.4442 · Cited by 1,295
Metadata
- Authors
- Resta, R.
- Venue
- Ferroelectrics
- Publisher
- Informa UK Limited
- Published
- 1992-11
- Volume
- 136
- Issue
- 1
- Pages
- 51-55
- ISSN
- 0015-0193 (ISSN-L)
- 1563-5112
- OpenAlex
- W2024146103
- Cited by
- 553
- References
- 12
- FWCI
- 4.24
- Type
- journal article
- Language
- en
- Open access
- closed
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- Resta, R. (1992). Theory of the electric polarization in crystals. Ferroelectrics. https://doi.org/10.1080/00150199208016065
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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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
