The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Quantization of the Hall Conductance for General, Multiparticle Schrödinger Hamiltonians
Abstract
We describe a precise mathematical theory of the Laughlin argument for the quantization of the Hall conductance for general multiparticle Schr\"odinger operators with general background potentials. The quantization is a consequence of the geometric content of the conductance, namely, that it can be identified with an integral over the first Chern class. This generalizes ideas of Thouless et al., for noninteracting Bloch Hamiltonians to general (interacting and nonperiodic) ones.
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Citations
Cites
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
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Higher-order topology in bismuth
Schindler, F., Wang, Z., Vergniory, M. G., Cook, A. M., Murani, A., Sengupta, S., Kasumov, A. Y., Deblock, R., Jeon, S., Drozdov, I., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0224-7 · Cited by 837
The Quantum Anomalous Hall Effect: Theory and Experiment
Liu, C.-X., Zhang, S.-C., & Qi, X.-L. (2016) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031115-011417 · Cited by 617
Spin-singlet wave function for the half-integral quantum Hall effect
Haldane, F. D. M., & Rezayi, E. H. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.956 · Cited by 313
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Essin, A. M., & Moore, J. E. (2007) · Physical Review B · doi:10.1103/physrevb.76.165307 · Cited by 98
Metadata
- Authors
- Avron, J. E., & Seiler, R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1985-01-28
- Volume
- 54
- Issue
- 4
- Pages
- 259-262
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1965578918
- Cited by
- 264
- References
- 2
- FWCI
- 16.74
- Type
- journal article
- Language
- en
- Open access
- closed
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