Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 187

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

Zero modes and the quantized Hall conductance of the two-dimensional lattice in a magnetic field

Kohmoto, Mahito·1989·Physical Review B
DOI 10.1103/physrevb.39.11943
Open this paper in CoChat — free account

Abstract

Several properties of the tight-binding electrons in two dimensions with a uniform magnetic field perpendicular to the plane are discussed. The existence of zero-energy states is explicitly shown. The quantized value of the Hall conductance of each magnetic subband which is the Chern number of a certain fiber bundle on a two-torus is calculated. The holelike Hall coefficient can be explained by the quantum mechanics of negatively charged electrons.

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.39.11943

Cites

2 of 2 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 2 references

Cited by

See all 187

Metadata

Authors
Kohmoto, M.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1989-06-01
Volume
39
Issue
16
Pages
11943-11949
ISSN
0163-1829 (ISSN-L)
DOI
10.1103/physrevb.39.11943
OpenAlex
W2031435515
Cited by
187
References
2
FWCI
4.78
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: Zero modes and the quantized Hall conductance of the two-dimensional lattice in a magnetic field. https://app.cochat.ai/papers/10.1103/physrevb.39.11943
The paper
Kohmoto, M. (1989). Zero modes and the quantized Hall conductance of the two-dimensional lattice in a magnetic field. Physical Review B. https://doi.org/10.1103/physrevb.39.11943

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.