The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Equivalence of the resonating-valence-bond and fractional quantum Hall states
Abstract
We present evidence that the ground state of the frustrated Heisenberg antiferromagnet in two dimensions is well described by a fractional quantum Hall wave function for bosons. This is compatible with the resonating valence-bond concept of Anderson in being a liquid with neutral spin-(1/2 excitations. Our results suggest strongly that the resonating valence bond and fractional quantum Hall states are the same thing. We also argue that the excitation spectrum ahs an energy gap.
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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
Self-citationField Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
Holstein, T., & Primakoff, H. (1940) · Physical Review · doi:10.1103/physrev.58.1098 · Cited by 4,053
Resonating valence bonds: A new kind of insulator?
Anderson, P. W. (1973) · Materials Research Bulletin · doi:10.1016/0025-5408(73)90167-0 · Cited by 2,823
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
Resonating–valence-bond theory of phase transitions and superconductivity inLa2CuO4-based compounds
Anderson, P. W., Baskaran, G., Zou, Z., & Hsu, T. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2790 · Cited by 904
Topology of the resonating valence-bond state: Solitons and high-Tcsuperconductivity
Kivelson, S. A., Rokhsar, D. S., & Sethna, J. P. (1987) · Physical Review B · doi:10.1103/physrevb.35.8865 · Cited by 886
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
Ground State of Antiferromagnetic Quantum Spin Systems on the Triangular Lattice
Oguchi, T., Nishimori, H., & Taguchi, Y. (1986) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.55.323 · Cited by 78
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
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Symmetry protected topological orders and the group cohomology of their symmetry group
Chen, X., Gu, Z.-C., Liu, Z.-X., & Wen, X.-G. (2013) · Physical Review B · doi:10.1103/physrevb.87.155114 · Cited by 1,311
Topological orders and edge excitations in fractional quantum Hall states
Wen, X.-G. (1995) · Advances in Physics · doi:10.1080/00018739500101566 · Cited by 1,060
Topological bands for ultracold atoms
Cooper, N. R., Dalibard, J., & Spielman, I. B. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015005 · Cited by 940
Metadata
- Authors
- Kalmeyer, V., & Laughlin, R. B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1987-11-02
- Volume
- 59
- Issue
- 18
- Pages
- 2095-2098
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2022394733
- Cited by
- 1,163
- References
- 8
- FWCI
- 15.25
- 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.
