The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Incompressible quantum Hall states
Abstract
Considering each electron as a superposition of fictitious fractionally charged particles allows, with the help of a natural ansatz, a systematic identification and characterization of the incompressible quantum Hall states at noninteger filling factors. Explicit Laughlin-type wave functions are obtained for all the incompressible states and their quasiparticles. The order of stability of the various states predicted on the basis of physically plausible rules is in agreement with experiments. Although in principle all rational fractions are observable, these rules imply that the even-denominator fractions are in general much less stable than the odd-denominator ones.
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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
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
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
Self-citationFractional 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
Quantized Hall conductivity in two dimensions
Laughlin, R. B. (1981) · Physical Review B · doi:10.1103/physrevb.23.5632 · Cited by 2,162
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
Observation of an even-denominator quantum number in the fractional quantum Hall effect
Willett, R., Eisenstein, J. P., Störmer, H. L., Tsui, D. C., Gossard, A. C., & English, J. H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.1776 · Cited by 1,135
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
Collapse of the Even-Denominator Fractional Quantum Hall Effect in Tilted Fields
Eisenstein, J. P., Willett, R., Stormer, H. L., Tsui, D. C., Gossard, A. C., & English, J. H. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.997 · Cited by 191
Particle-hole symmetry in the anomalous quantum Hall effect
Girvin, S. M. (1984) · Physical Review B · doi:10.1103/physrevb.29.6012 · Cited by 161
Zhang, F., & Chakraborty, T. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.30.7320 · Cited by 107
Role of reversed spins in the correlated ground state for the fractional quantum Hall effect
Chakraborty, T., & Zhang, F. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.29.7032 · Cited by 106
Comparison of models for the even-denominator fractional quantum Hall effect
MacDonald, A. H., Yoshioka, D., & Girvin, S. M. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.39.8044 · Cited by 37
Spin-1 quasiparticle and spin polarization of the ground state in the fractional quantum Hall effect
Zhang, F., & Chakraborty, T. (1986) · Physical review. B, Condensed matter · doi:10.1103/physrevb.34.7076 · Cited by 29
Cited by
Read, N. (2009) · Physical Review B · doi:10.1103/physrevb.79.045308 · Cited by 454
Chiral Luttinger liquids at the fractional quantum Hall edge
Chang, A. M. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.1449 · Cited by 391
Metadata
- Authors
- Jain, J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1989-10
- Volume
- 40
- Issue
- 11
- Pages
- 8079-8082
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W1971862605
- Cited by
- 405
- References
- 15
- FWCI
- 5.69
- Type
- journal article
- Language
- en
- Open access
- closed
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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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