Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 616

The DOI matches its Crossref record; 39 of the 39 references it cites were found in a registry or an index.

Understanding band gaps of solids in generalized Kohn–Sham theory

Open access
Perdew, John P., Yang, Weitao, Burke, Kieron, Yang, Zenghui, Gross, Eberhard K. U., Scheffler, Matthias, Scuseria, Gustavo E., Henderson, Thomas M., Zhang, Igor Ying, Ruzsinszky, Adrienn, Peng, Haowei, Sun, Jianwei, Trushin, Egor, Görling, Andreas·2017·Proceedings of the National Academy of Sciences

Abstract

Significance: Semiconductors and insulators have a fundamental energy gap and absorb light at a continuum of photon energies above this gap. They also have a band structure of one-electron energies, and a band gap separating unoccupied from occupied one-electron states. When should these gaps be equal? It is known that they are not equal in the exact Kohn–Sham density-functional theory but are equal in commonly used density-functional approximations, such as the generalized gradient approximation (GGA). We show here that they are also equal (and improved) in higher level approximations, such as the meta-GGA or the hybrid of GGA with exact exchange, when the effective one-electron potential is not constrained to be a multiplication operator.

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 · 10.1073/pnas.1621352114

Cites

39 of 39 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 39 references

Cited by

See all 616

Metadata

Authors
Perdew, J. P., Yang, W., Burke, K., Yang, Z., Gross, E. K. U., Scheffler, M., Scuseria, G. E., Henderson, T. M., Zhang, I. Y., Ruzsinszky, A., Peng, H., Sun, J., Trushin, E., & Görling, A.
Venue
Proceedings of the National Academy of Sciences
Published
2017-03-06
Volume
114
Issue
11
Pages
2801-2806
ISSN
  • 0027-8424 (ISSN-L)
  • 1091-6490
OpenAlex
W2507946536
Cited by
616
References
39
FWCI
29.27
Type
journal article
Language
en
Open access
bronze

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: Understanding band gaps of solids in generalized Kohn–Sham theory. https://app.cochat.ai/papers/10.1073/pnas.1621352114
The paper
Perdew, J. P., Yang, W., Burke, K., Yang, Z., Gross, E. K. U., Scheffler, M., Scuseria, G. E., Henderson, T. M., Zhang, I. Y., Ruzsinszky, A., Peng, H., Sun, J., Trushin, E., & Görling, A. (2017). Understanding band gaps of solids in generalized Kohn–Sham theory. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.1621352114

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.