The DOI matches its Crossref record; 52 of the 52 references it cites were found in a registry or an index.
The insulating state of matter: a geometrical theory
Open accessAbstract
Abstract. In 1964 Kohn published the milestone paper “Theory of the insulating state”, according to which insulators and metals differ in their ground state. Even before the system is excited by any probe, a different organization of the electrons is present in the ground state and this is the key feature discriminating between insulators and metals. However, the theory of the insulating state remained somewhat incomplete until the late 1990s; this review addresses the recent developments. The many-body ground wavefunction of any insulator is characterized by means of geometrical concepts (Berry phase, connection, curvature, Chern number, quantum metric). Among them, it is the quantum metric which sharply characterizes the insulating state of matter. The theory deals on a common ground with several kinds of insulators: band insulators, Mott insulators, Anderson insulators, quantum Hall insulators, Chern and topological insulators.
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Cites
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Absence of Diffusion in Certain Random Lattices
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Quantal phase factors accompanying adiabatic changes
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Quantum Spin Hall Effect in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197
Significance of Electromagnetic Potentials in the Quantum Theory
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Quantized Hall Conductance in a Two-Dimensional Periodic Potential
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Berry phase effects on electronic properties
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Maximally localized generalized Wannier functions for composite energy bands
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Experimental Realization of a Three-Dimensional Topological Insulator, Bi 2 Te 3
Chen, Y. L., Analytis, J. G., Chu, J.-H., Liu, Z. K., Mo, S.-K., Qi, X. L., Zhang, H. J., Lu, D. H., Dai, X., Fang, Z., et al. (2009) · Science · doi:10.1126/science.1173034 · Cited by 3,585
Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Superconductivity, superfluidity and quantum geometry in twisted multilayer systems
Törmä, P., Peotta, S., & Bernevig, B. A. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00466-y · Cited by 319
Mapping topological order in coordinate space
Bianco, R., & Resta, R. (2011) · Physical Review B · doi:10.1103/physrevb.84.241106 · Cited by 310
Self-citationElectronic Structure: Basic Theory and Practical Methods
Martin, R. M. (2020) · Cambridge University Press eBooks · doi:10.1017/9781108555586 · Cited by 269
Metadata
- Authors
- Resta, R.
- Venue
- The European Physical Journal B
- Published
- 2011-01
- Volume
- 79
- Issue
- 2
- Pages
- 121-137
- ISSN
- 1434-6028 (ISSN-L)
- 1434-6036
- OpenAlex
- W2104043226
- Cited by
- 305
- References
- 52
- FWCI
- 1.91
- Type
- journal article
- Language
- en
- Open access
- green
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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.
