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Many-Particle Translational Symmetries of Two-Dimensional Electrons at Rational Landau-Level Filling
Abstract
In contrast to previous treatments, a new analysis of two-dimensional many-electron systems subject to periodic boundary conditions in a magnetic field leads to a fully two-dimensional structure of the quantum numbers at rational Landau-level filling. The structure of the new symmetry analysis has an intrinsically many-particle character. Full agreement between numerical studies of quantized-Hall-effect systems in periodic and spherical geometries is achieved, and the problem of ground-state degeneracy is clarified.
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Citations
Cites
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
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
Haldane, F. D. M. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.605 · Cited by 2,210
Self-citation
Cited by
Wen, X. G., & Niu, Q. (1990) · Physical Review B · doi:10.1103/physrevb.41.9377 · Cited by 938
Chiral Luttinger liquid and the edge excitations in the fractional quantum Hall states
Wen, X. G. (1990) · Physical Review B · doi:10.1103/physrevb.41.12838 · Cited by 697
TOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS
BERGHOLTZ, E. J., & LIU, Z. (2013) · International Journal of Modern Physics B · doi:10.1142/s021797921330017x · Cited by 522
Topological Flat Band Models and Fractional Chern Insulators
Bergholtz, E. J., & Liu, Z. (2013) · doi:10.17169/refubium-19043 · Cited by 459
Read, N. (2009) · Physical Review B · doi:10.1103/physrevb.79.045308 · Cited by 454
Metadata
- Authors
- Haldane, F. D. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1985-11-11
- Volume
- 55
- Issue
- 20
- Pages
- 2095-2098
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2141562470
- Cited by
- 336
- References
- 2
- FWCI
- 5.96
- Type
- journal article
- Language
- en
- Open access
- closed
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- Haldane, F. D. M. (1985). Many-Particle Translational Symmetries of Two-Dimensional Electrons at Rational Landau-Level Filling. Physical Review Letters. https://doi.org/10.1103/physrevlett.55.2095
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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.