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Longitudinal Magnetoresistance in the Quantum Limit
Abstract
A study has been made of the effect of a magnetic field on the scattering of electrons in a semiconductor with spherical energy surfaces. The theory has been applied to longitudinal magnetoresistance in the case of a very large magnetic field and low temperatures so that all conduction electrons are in the ground oscillator state. Relaxation times for phonon and ionized impurity scattering have been calculated and the corresponding mobilities for a degenerate and nondegenerate semiconductor have been derived. Contrary to the zero magnetoresistance predicted by the usual Boltzmann theory, a field-dependent magnetoresistance is found. For a nondegenerate semiconductor and in the ionized impurity scattering range a negative magnetoresistance is predicted.
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“Therefore, our data are inconsistent with this origin3133.”
From Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal (2016) · cites this paper as [31]
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The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal
Nielsen, H. B., & Ninomiya, M. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)91529-0 · Cited by 1,708
Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal
Zhang, C.-L., Xu, S.-Y., Belopolski, I., Yuan, Z., Lin, Z., Tong, B., Bian, G., Alidoust, N., Lee, C.-C., Huang, S.-M., et al. (2016) · Nature Communications · doi:10.1038/ncomms10735 · Cited by 760
Gate-tunable negative longitudinal magnetoresistance in the predicted type-II Weyl semimetal WTe2
Wang, Y., Liu, E., Liu, H., Pan, Y., Zhang, L., Zeng, J., Fu, Y., Wang, M., Xu, K., Huang, Z., et al. (2016) · Nature Communications · doi:10.1038/ncomms13142 · Cited by 280
Necessary and sufficient condition for longitudinal magnetoresistance
Pal, H. K., & Maslov, D. L. (2010) · Physical Review B · doi:10.1103/physrevb.81.214438 · Cited by 38
Metadata
- Authors
- Argyres, P. N., & Adams, E. N.
- Affiliations
- Westinghouse Electric (United States) (US)
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1956-11-15
- Volume
- 104
- Issue
- 4
- Pages
- 900-908
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W1998569627
- Cited by
- 173
- References
- 0
- Citations by year
- 2026: 1 · 2024: 1 · 2023: 3 · 2022: 2 · 2021: 4 · 2020: 4 · 2019: 3 · 2018: 10 · 2017: 5 · 2016: 10 · 2015: 3 · 2014: 1 · 2012: 2
- FWCI
- 8.30
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Semiconductor Quantum Structures and Devices
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Semiconductor materials and interfaces
- Keywords
- longitudinal magnetoresistance, quantum limit, electron scattering, phonon scattering, ionized impurity scattering, relaxation time, electron mobility, negative magnetoresistance, degenerate semiconductors, nondegenerate semiconductors, high magnetic fields, low temperature
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Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: Longitudinal Magnetoresistance in the Quantum Limit. https://app.cochat.ai/papers/10.1103/physrev.104.900
- The paper
- Argyres, P. N., & Adams, E. N. (1956). Longitudinal Magnetoresistance in the Quantum Limit. Physical Review. https://doi.org/10.1103/physrev.104.900
