Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 537

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Off-diagonal long-range order, oblique confinement, and the fractional quantum Hall effect

Girvin, S. M., MacDonald, A. H.·1987·Physical Review Letters
DOI 10.1103/physrevlett.58.1252
Open this paper in CoChat — free account

Abstract

We demonstrate the existence of a novel type of off-diagonal long-range order in the fractional-quantum-Hall-effect (FQHE) ground state. This is revealed for the case of fractional filling factor \ensuremath{\nu}=1/m by application of Wilczek's ``anyon'' gauge transformation to attach m quantized flux tubes to each particle. The binding of the zeros of the wave function to the particles in the FQHE is a (2+1)-dimensional analog of oblique confinement in which a condensation occurs, not of ordinary particles, but rather of composite objects consisting of particles and gauge flux tubes.

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevlett.58.1252

Cites

3 of 3 references verified0 citation errors · 0 not checkable

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.

A few free checks a day · papers already verified open instantly · results are public

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

Cites

Show all 3 references

Cited by

See all 537

Metadata

Authors
Girvin, S. M., & MacDonald, A. H.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
1987-03-23
Volume
58
Issue
12
Pages
1252-1255
ISSN
0031-9007 (ISSN-L)
DOI
10.1103/physrevlett.58.1252
OpenAlex
W2077651935
Cited by
537
References
3
FWCI
14.63
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: Off-diagonal long-range order, oblique confinement, and the fractional quantum Hall effect. https://app.cochat.ai/papers/10.1103/physrevlett.58.1252
The paper
Girvin, S. M., & MacDonald, A. H. (1987). Off-diagonal long-range order, oblique confinement, and the fractional quantum Hall effect. Physical Review Letters. https://doi.org/10.1103/physrevlett.58.1252

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.