The DOI matches its Crossref record; 74 of the 74 references it cites were found in a registry or an index.
Manifestations of Berry's phase in molecules and condensed matter
Open accessAbstract
Since the appearance of Berry's seminal paper in 1984, geometric phases have been discovered in virtually all fields of physics. Here we address molecules and solids, and we limit our scope to the Berry's phases of the many-electron wavefunction. Many advances have occurred in very recent years relating to the theory of such phases and their observable consequences. After discussing the basic features of Berry's phases in a generic quantum system, we specialize to selected examples taken from molecular physics and condensed matter physics; in each of these cases, a Berry's phase of the electronic wavefunction leads to measurable effects.
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Cites
Introduction to Solid State Physics
Kittel, C., & Fan, H. Y. (1957) · American Journal of Physics · doi:10.1119/1.1934457 · Cited by 22,240
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
Unified Approach for Molecular Dynamics and Density-Functional Theory
Car, R., & Parrinello, M. (1985) · Physical Review Letters · doi:10.1103/physrevlett.55.2471 · Cited by 10,754
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
Significance of Electromagnetic Potentials in the Quantum Theory
Aharonov, Y., & Bohm, D. (1959) · Physical Review · doi:10.1103/physrev.115.485 · Cited by 6,996
Maximally localized generalized Wannier functions for composite energy bands
Marzari, N., & Vanderbilt, D. (1997) · Physical Review B · doi:10.1103/physrevb.56.12847 · Cited by 4,758
Theory of polarization of crystalline solids
King-Smith, R. D., & Vanderbilt, D. (1993) · Physical Review B · doi:10.1103/physrevb.47.1651 · Cited by 4,472
The Feynman Lectures on Physics
Feynman, R. P., Leighton, R. B., Sands, M., & Treiman, S. B. (1964) · Physics Today · doi:10.1063/1.3051743 · Cited by 2,939
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-citationBerry’s phase for energy bands in solids
Zak, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2747 · Cited by 1,950
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
Carusotto, I., & Ciuti, C. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.299 · Cited by 1,996
Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
Xiao, M., Zhang, Z. Q., & Chan, C. T. (2014) · Physical Review X · doi:10.1103/physrevx.4.021017 · Cited by 548
Synthetic dimension in photonics
Yuan, L., Lin, Q., Xiao, M., & Fan, S. (2018) · Optica · doi:10.1364/optica.5.001396 · Cited by 545
Metadata
- Authors
- Resta, R.
- Venue
- Journal of Physics: Condensed Matter
- Publisher
- IOP Publishing
- Published
- 2000-02-17
- Volume
- 12
- Issue
- 9
- Pages
- R107-R143
- ISSN
- 0953-8984 (ISSN-L)
- 1361-648X
- OpenAlex
- W2030655062
- Cited by
- 318
- References
- 74
- FWCI
- 3.79
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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