The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Magneto-roton theory of collective excitations in the fractional quantum Hall effect
Abstract
We present a theory of the collective excitation spectrum in the fractional quantum Hall effect which is closely analogous to Feynman's theory of superfluid helium. The predicted spectrum has a large gap at k=0 and a deep magneto-roton minimum at finite wave vector, in excellent quantitative agreement with recent numerical calculations. We demonstrate that the magneto-roton minimum is a precursor to the gap collapse associated with the Wigner crystal instability occurring near \ensuremath{\nu}=(1/7). In addition to providing a simple physical picture of the collective excitation modes, this theory allows one to compute rather easily and accurately experimentally relevant quantities such as the susceptibility and the ac conductivity.
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
Cites
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
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
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
Haldane, F. D. M. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.605 · Cited by 2,210
Cited by
Equivalence of the resonating-valence-bond and fractional quantum Hall states
Kalmeyer, V., & Laughlin, R. B. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2095 · Cited by 1,163
TOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS
BERGHOLTZ, E. J., & LIU, Z. (2013) · International Journal of Modern Physics B · doi:10.1142/s021797921330017x · Cited by 522
Topological Flat Band Models and Fractional Chern Insulators
Bergholtz, E. J., & Liu, Z. (2013) · doi:10.17169/refubium-19043 · Cited by 459
Transfer matrices and excitations with matrix product states
Zauner, V, Draxler, D., Vanderstraeten, L., Degroote, M., Haegeman, J., Rams, M. M., Stojevic, V, Schuch, N., & Verstraete, F. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/5/053002 · Cited by 80
Scattering particles in quantum spin chains
Vanderstraeten, L., Verstraete, F., & Haegeman, J. (2015) · Physical Review B · doi:10.1103/physrevb.92.125136 · Cited by 50
Metadata
- Authors
- Girvin, S. M., MacDonald, A. H., & Platzman, P. M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1986-02-15
- Volume
- 33
- Issue
- 4
- Pages
- 2481-2494
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2295055930
- Cited by
- 831
- References
- 3
- FWCI
- 13.13
- 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: Magneto-roton theory of collective excitations in the fractional quantum Hall effect. https://app.cochat.ai/papers/10.1103/physrevb.33.2481
- The paper
- Girvin, S. M., MacDonald, A. H., & Platzman, P. M. (1986). Magneto-roton theory of collective excitations in the fractional quantum Hall effect. Physical Review B. https://doi.org/10.1103/physrevb.33.2481
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.
