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The General Motion of Conduction Electrons in a Uniform Magnetic Field, with Application to the Diamagnetism of Metals
Open accessAbstract
Using translational properties of the Hamiltonian, a standard form is derived for the wave functions describing conduction electrons moving in a uniform magnetic field. This is used to obtain a solution of the Schrödinger equation in order to examine the magnetic energy levels. For non-overlapping bands the notion of effective mass is shown adequate (neglecting level broadening) but in an overlap region neighbouring bands interact strongly and distort the single band levels. A brief application to the diamagnetism of metals is considered.
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Citations
Cites
Interpretation of the de Haas-van Alphen effect
Onsager, L. (1952) · The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786440908521019 · Cited by 705
Cited by
Recent advances and applications of machine learning in solid-state materials science
Schmidt, J., Marques, M. R. G., Botti, S., & Marques, M. A. L. (2019) · npj Computational Materials · doi:10.1038/s41524-019-0221-0 · Cited by 2,607
Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
Harper, P. G. (1955) · Proceedings of the Physical Society. Section A · doi:10.1088/0370-1298/68/10/304 · Cited by 1,416
Self-citationMeasuring the Chern number of Hofstadter bands with ultracold bosonic atoms
Aidelsburger, M., Lohse, M., Schweizer, C., Atala, M., Barreiro, J. T., Nascimbène, S., Cooper, N. R., Bloch, I., & Goldman, N. (2015) · Nature Physics · doi:10.1038/nphys3171 · Cited by 991
Topological bands for ultracold atoms
Cooper, N. R., Dalibard, J., & Spielman, I. B. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015005 · Cited by 940
McClure, J. W. (1956) · Physical Review · doi:10.1103/physrev.104.666 · Cited by 909
Metadata
- Authors
- Harper, P. G.
- Venue
- Proceedings of the Physical Society. Section A
- Publisher
- IOP Publishing
- Published
- 1955-10-01
- Volume
- 68
- Issue
- 10
- Pages
- 879-892
- ISSN
- 0370-1298 (ISSN-L)
- OpenAlex
- W1998056920
- Cited by
- 231
- References
- 1
- FWCI
- 1.50
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Harper, P. G. (1955). The General Motion of Conduction Electrons in a Uniform Magnetic Field, with Application to the Diamagnetism of Metals. Proceedings of the Physical Society. Section A. https://doi.org/10.1088/0370-1298/68/10/305
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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.
