Fractional Statistics and the Quantum Hall Effect
Abstract
The statistics of quasiparticles entering the quantum Hall effect are deduced from the adiabatic theorem. These excitations are found to obey fractional statistics, a result closely related to their fractional charge.
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Laughlin quasiparticles have fractional (anyonic) exchange statistics.
“In addition to fractional charge, another remarkable property of the Laughlin quasiparticles is their fractional (anyonic) exchange statistics [31,32].”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [32]
Laughlin quasiparticles have (Abelian) fractional statistics.
“Osim necjelobrojnog naboja Laughlinove kvaziˇ cestice imaju i (abelovsku) frakcijsku statistiku [32] što smo pokazali u sklopu disertacije pomo´ cu Berryjeve faze koja se javlja pri kruženju jedne oko druge kvazišupljine.”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [32]
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 · see citing works
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Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238 · see citing works
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722 · see citing works
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655 · see citing works
Douglas, M., & Nekrasov, N. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.977 · Cited by 2,096 · see citing works
Quantized Hall conductance as a topological invariant
Niu, Q., Thouless, D. J., & Wu, Y.-S. (1985) · Physical Review B · doi:10.1103/physrevb.31.3372 · Cited by 1,136 · see citing works
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 · see citing works
Wilczek, F. (2009) · Nature Physics · doi:10.1038/nphys1380 · Cited by 913 · see citing works
Self-citationQuantum Monte Carlo Approaches for Correlated Systems
Becca, F., & Sorella, S. (2017) · doi:10.1017/9781316417041 · Cited by 523 · see citing works
Manifestations of Berry's Topological Phase for the Photon
Chiao, R. Y., & Wu, Y.-S. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.933 · Cited by 482 · see citing works
Paredes, B., Fedichev, P., Cirac, J. I., & Zoller, P. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.010402 · Cited by 237 · see citing works
Fractionalization in a square-lattice model with time-reversal symmetry
Seradjeh, B., Weeks, C., & Franz, M. (2008) · Physical Review B · doi:10.1103/physrevb.77.033104 · Cited by 60 · see citing works
Creation and manipulation of anyons in a layered superconductor–two-dimensional electron gas system
Rosenberg, G., Seradjeh, B., Weeks, C., & Franz, M. (2009) · Physical Review B · doi:10.1103/physrevb.79.205102 · Cited by 19 · see citing works
- Authors
- Arovas, D., Schrieffer, J. R., & Wilczek, F.
- Affiliations
- University of California, Santa Barbara (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1984-08-13
- Volume
- 53
- Issue
- 7
- Pages
- 722-723
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2057042903
- Cited by
- 1,213
- References
- 1
- Citations by year
- 2026: 38 · 2025: 58 · 2024: 51 · 2023: 107 · 2022: 53 · 2021: 47 · 2020: 49 · 2019: 46 · 2018: 43 · 2017: 31 · 2016: 34 · 2015: 32 · 2014: 31 · 2013: 30 · 2012: 32
- FWCI
- 10.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- fractional statistics, quantum Hall effect, quasiparticles, fractional charge, adiabatic theorem, anyons, quasiparticle statistics
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