Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 301

The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.

Exact results for the fractional quantum Hall effect with general interactions

Trugman, S. A., Kivelson, S.·1985·Physical Review B
DOI 10.1103/physrevb.31.5280
Open this paper in CoChat — free account

Abstract

Laughlin's state ${\ensuremath{\psi}}_{m}$ is shown to be the exact nondegenerate ground state for repulsive interactions of vanishing range. In this limit, his quasihole states are not exact, and some previously proposed states are ruled out. An experimental prediction is made concerning the competition of ${\ensuremath{\psi}}_{m}$ with charge-density waves. Several exact properties are shared by systems with interactions of shorter range than ${r}^{\mathrm{\ensuremath{-}}2}$, for which the center-of-mass motion separates from the other degrees of freedom. These include new invariant subspaces, an operator that creates exact eigenstates, and a subset property of the energy eigenvalues.

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/physrevb.31.5280

Cites

8 of 8 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 8 references

Cited by

See all 301

Metadata

Authors
Trugman, S. A., & Kivelson, S.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1985-04-15
Volume
31
Issue
8
Pages
5280-5284
ISSN
0163-1829 (ISSN-L)
DOI
10.1103/physrevb.31.5280
OpenAlex
W2021017911
Cited by
301
References
8
FWCI
4.05
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: Exact results for the fractional quantum Hall effect with general interactions. https://app.cochat.ai/papers/10.1103/physrevb.31.5280
The paper
Trugman, S. A., & Kivelson, S. (1985). Exact results for the fractional quantum Hall effect with general interactions. Physical Review B. https://doi.org/10.1103/physrevb.31.5280

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.