The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Order Parameter and Ginzburg-Landau Theory for the Fractional Quantum Hall Effect
Abstract
A new order parameter with a novel broken symmetry is proposed for the fractional quantum Hall effect, with the Laughlin state as the mean-field ground state. The classical Ginzburg-Landau theory of Girvin is derived microscopically from this starting point and exhibits all the phenomenology of the fractional quantum Hall effect.
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Citations
Cites
Principles of Algebraic Geometry
Griffiths, P., & Harris, J. (1994) · Wiley · doi:10.1002/9781118032527 · Cited by 6,765
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
Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States
Halperin, B. I. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.1583 · Cited by 1,532
Fractional Statistics and the Quantum Hall Effect
Arovas, D., Schrieffer, J. R., & Wilczek, F. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.722 · Cited by 1,213
Magneto-roton theory of collective excitations in the fractional quantum Hall effect
Girvin, S. M., MacDonald, A. H., & Platzman, P. M. (1986) · Physical Review B · doi:10.1103/physrevb.33.2481 · Cited by 831
Off-diagonal long-range order, oblique confinement, and the fractional quantum Hall effect
Girvin, S. M., & MacDonald, A. H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1252 · Cited by 537
Glimm, J., & Jaffe, A. (1981) · Springer eBooks · doi:10.1007/978-1-4684-0121-9 · Cited by 386
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
Remarks on the Laughlin theory of the fractionally quantized Hall effect
Anderson, P. W. (1983) · Physical review. B, Condensed matter · doi:10.1103/physrevb.28.2264 · Cited by 58
Off-Diagonal Long-Range Order in Fractional Quantum-Hall-Effect States
Rezayi, E. H., & Haldane, F. D. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1985 · Cited by 57
Cited by
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Composite-fermion approach for the fractional quantum Hall effect
Jain, J. K. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.199 · Cited by 2,346
Theory of the half-filled Landau level
Halperin, B. I., Lee, P. A., & Read, N. (1993) · Physical Review B · doi:10.1103/physrevb.47.7312 · Cited by 1,739
Self-citationWen, X. G., & Niu, Q. (1990) · Physical Review B · doi:10.1103/physrevb.41.9377 · Cited by 938
Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains
den Nijs, M., & Rommelse, K. (1989) · Physical Review B · doi:10.1103/physrevb.40.4709 · Cited by 936
Metadata
- Authors
- Read, N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1989-01-02
- Volume
- 62
- Issue
- 1
- Pages
- 86-89
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2059716441
- Cited by
- 431
- References
- 10
- FWCI
- 18.91
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
