The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Collective-Excitation Gap in the Fractional Quantum Hall Effect
Abstract
We present a theory of the collective excitation spectrum in the fractional quantum Hall-effect regimes, in analogy with Feynman's theory for helium. The spectrum is in excellent quantitative agreement with the numerical results of Haldane. Within this approximation we prove that a finite gap is generic to any liquid state in the extreme quantum limit and that in this single-mode approximation gapless excitations can arise only as Goldstone modes for ground states with broken translation symmetry.
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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
Ter Haar, D. (1966) · Journal of the Franklin Institute · doi:10.1016/0016-0032(66)90362-0 · Cited by 2,297
Liquid-solid transition and the fractional quantum-Hall effect
Lam, P. K., & Girvin, S. M. (1984) · Physical Review B · doi:10.1103/physrevb.30.473 · Cited by 347
Self-citationFormalism for the quantum Hall effect: Hilbert space of analytic functions
Girvin, S. M., & Jach, T. (1984) · Physical Review B · doi:10.1103/physrevb.29.5617 · Cited by 338
Self-citationLevesque, D., Weis, J. J., & MacDonald, A. H. (1984) · Physical Review B · doi:10.1103/physrevb.30.1056 · Cited by 283
Self-citationA Monte Carlo study of the classical two-dimensional one-component plasma
Caillol, J. M., Levesque, D., Weis, J. J., & Hansen, J. P. (1982) · Journal of Statistical Physics · doi:10.1007/bf01012609 · Cited by 271
Higher-Order States in the Multiple-Series, Fractional, Quantum Hall Effect
Chang, A. M., Berglund, P., Tsui, D. C., Stormer, H. L., & Hwang, J. C. M. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.997 · Cited by 127
Advances in Solid State Physics
(1984) · Advances in Solid State Physics · doi:10.1007/bfb0107442 · Cited by 98
Girvin, S. M. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.30.558 · Cited by 72
Self-citationKawaji, S., Wakabayashi, J.-I., Yoshino, J., & Sakaki, H. (1984) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.53.1915 · Cited by 55
Research works printed but not linked: 2
- R. P. Feynman, 1972, Statistical Mechanics
- R. B. Laughlin, 1984, Proceedings of the Seventeenth International Conference on Low-Temperature Physics
Cited by
Douglas, M., & Nekrasov, N. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.977 · Cited by 2,096
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
Self-citationOff-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
Self-citationNobel Lecture: Fractional quantization
Laughlin, R. B. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.863 · Cited by 321
Tangent-space methods for uniform matrix product states
Vanderstraeten, L., Haegeman, J., & Verstraete, F. (2019) · SciPost Physics Lecture Notes · doi:10.21468/scipostphyslectnotes.7 · Cited by 233
“The variational ansatz that we will introduce is a generalization of the single-mode approximation [36], which appeared earlier in the context of spin chains, and the Feynman-Bijl ansatz [37], which was used to describe the spectrum of liquid helium or quantum Hall systems [38].”
Method
Metadata
- Authors
- Girvin, S. M., MacDonald, A. H., & Platzman, P. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1985-02-11
- Volume
- 54
- Issue
- 6
- Pages
- 581-583
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2009837247
- Cited by
- 489
- References
- 10
- FWCI
- 23.36
- Type
- journal article
- Language
- en
- Open access
- closed
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- The paper
- Girvin, S. M., MacDonald, A. H., & Platzman, P. M. (1985). Collective-Excitation Gap in the Fractional Quantum Hall Effect. Physical Review Letters. https://doi.org/10.1103/physrevlett.54.581
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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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