The DOI matches its Crossref record.
ON ANYON SUPERCONDUCTIVITY
Abstract
We investigate the statistical mechanics of a gas of fractional statistics particles in 2+1 dimensions. In the case of statistics very close to Fermi statistics (statistical parameter θ=π(1−1/n), for large n), the effect of the statistics is a weak attraction. Building upon earlier RPA calculation of Fetter, Hanna, and Laughlin for the case n=2, we argue that for large n perturbation theory is reliable and exhibits superfluidity (or superconductivity after coupling to electromagnetism). We attempt to describe the order parameter for this superconducting phase in terms of “spontaneous breaking of commutativity of translations” as opposed to the usual pairing order parameters. The vortices of the superconducting anyon gas are charged, and superconducting order parameters of the usual type vanish. We investigate the characteristic P and T violating phenomenology.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
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
Theory of the half-filled Landau level
Halperin, B. I., Lee, P. A., & Read, N. (1993) · Physical Review B · doi:10.1103/physrevb.47.7312 · Cited by 1,739
Self-citationLimits on a Lorentz- and parity-violating modification of electrodynamics
Carroll, S. M., Field, G. B., & Jackiw, R. (1990) · Physical Review D · doi:10.1103/physrevd.41.1231 · Cited by 1,315
Wen, X. G., & Niu, Q. (1990) · Physical Review B · doi:10.1103/physrevb.41.9377 · Cited by 938
Amplitude/Higgs Modes in Condensed Matter Physics
Pekker, D., & Varma, C. M. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014350 · Cited by 398
Metadata
- Authors
- CHEN, Y.-H., WILCZEK, F., WITTEN, E., & HALPERIN, B. I.
- Venue
- International Journal of Modern Physics B
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1989-07
- Volume
- 03
- Issue
- 07
- Pages
- 1001-1067
- ISSN
- 0217-9792 (ISSN-L)
- 1793-6578
- OpenAlex
- W2116870969
- Cited by
- 796
- References
- 0
- FWCI
- 41.87
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: ON ANYON SUPERCONDUCTIVITY. https://app.cochat.ai/papers/10.1142/s0217979289000725
- The paper
- CHEN, Y.-H., WILCZEK, F., WITTEN, E., & HALPERIN, B. I. (1989). ON ANYON SUPERCONDUCTIVITY. International Journal of Modern Physics B. https://doi.org/10.1142/s0217979289000725
Data sources
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.
