Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States
Abstract
Quasiparticles at the fractional quantized Hall states obey quantization rules appropriate to particles of fractional statistics. Stable states at various rational filling factors may be constructed iteratively by adding quasiparticles or holes to lower-order states, and the corresponding energies have been estimated.
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FQHE at filling fractions ν other than 1/m may be explained by hierarchical construction starting from Laughlin states.
“FQHE at filling fractions ν other than 1 /m may be explained by hierarchical construction [34,31], starting from Laughlin states.”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [31]
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 [31]
Laughlin states can explain FQHE at other rational filling factors with odd denominators via hierarchical construction.
“Laughlinova stanja mogu objasniti FQHE i na drugim racionalnim faktorima popunjenosti s neparnim nazivnikom pomo´ cu hijerarhijske konstrukcije [34,31].”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [31]
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
Quantum mechanics of fractional-spin particles
Wilczek, F. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.957 · Cited by 1,694 · see citing works
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Condensed-Matter Simulation of a Three-Dimensional Anomaly
Semenoff, G. W. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.2449 · Cited by 1,832 · 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
The fractional quantum Hall effect
Stormer, H. L., Tsui, D. C., & Gossard, A. C. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.s298 · Cited by 483 · see citing works
- Authors
- Halperin, B. I.
- Affiliations
- Harvard University (US)
- Corresponding author
- Halperin, B. I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1984-04-30
- Volume
- 52
- Issue
- 18
- Pages
- 1583-1586
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2054186641
- Cited by
- 1,532
- References
- 2
- Citations by year
- 2026: 27 · 2025: 47 · 2024: 35 · 2023: 113 · 2022: 44 · 2021: 47 · 2020: 38 · 2019: 42 · 2018: 33 · 2017: 32 · 2016: 35 · 2015: 34 · 2014: 30 · 2013: 36 · 2012: 34
- FWCI
- 28.15
- 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 › Atomic and Molecular Physics, and Optics › Semiconductor Quantum Structures and Devices
- Keywords
- quasiparticles, fractional statistics, quasiparticle statistics, energy estimates
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