The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Quantum Theory of Electrical Transport Phenomena
Abstract
The usual theories of electrical conductivity suffer from a number of weaknesses. This paper attempts, on the basis of a simple model, to put the theory on as rigorous a basis as possible. A technique is developed which gives the entire density matrix of the system of charge carriers in the steady state. Our model consists of noninteracting free (or Bloch) electrons being scattered by "random" rigid impurity centers. The density matrix is developed in ascending powers of the strength of the scattering potential. The familiar Boltzmann transport equation represents an approximation valid in the limiting cases of very weak or very dilute scatterers. Higher order corrections are given.
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
Karplus, R., & Luttinger, J. M. (1954) · Physical Review · doi:10.1103/physrev.95.1154 · Cited by 1,737
Self-citationThe spontaneous hall effect in ferromagnetics I
Smit, J. (1955) · Physica · doi:10.1016/s0031-8914(55)92596-9 · Cited by 778
Cited by
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277
Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H., & Ong, N. P. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1539 · Cited by 4,798
Theory of Many-Particle Systems. I
Martin, P. C., & Schwinger, J. (1959) · Physical Review · doi:10.1103/physrev.115.1342 · Cited by 1,816
The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space
Fang, Z., Nagaosa, N., Takahashi, K. S., Asamitsu, A., Mathieu, R., Ogasawara, T., Yamada, H., Kawasaki, M., Tokura, Y., & Terakura, K. (2003) · Science · doi:10.1126/science.1089408 · Cited by 1,043
Metadata
- Authors
- Kohn, W., & Luttinger, J. M.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1957-11-01
- Volume
- 108
- Issue
- 3
- Pages
- 590-611
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W1993095706
- Cited by
- 794
- References
- 2
- FWCI
- 11.94
- 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: Quantum Theory of Electrical Transport Phenomena. https://app.cochat.ai/papers/10.1103/physrev.108.590
- The paper
- Kohn, W., & Luttinger, J. M. (1957). Quantum Theory of Electrical Transport Phenomena. Physical Review. https://doi.org/10.1103/physrev.108.590
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.
