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Cited by 1,416Quantum and electron transport phenomenaSurface and Thin Film PhenomenaPhysics of Superconductivity and Magnetism

Single Band Motion of Conduction Electrons in a Uniform Magnetic Field

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Harper, P G·1955·Proceedings of the Physical Society. Section A
DOI 10.1088/0370-1298/68/10/304
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Abstract

The effect of a uniform magnetic field on the conduction band of metal is investigated, using as model the tight-binding approximation for a simple cubic crystal. The normally discrete magnetic levels pertaining to free electrons are shown to be non-uniformly spaced and broadened as a result of the lattice forces.

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Crossref · 10.1088/0370-1298/68/10/304

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  • The diffraction of light through the array mimics the time-evolution of the wavefunction of a quantum mechanical particle.

    “Therefore, the diffraction of light through the array mimics the timeevolution of the wavefunction of a quantum mechanical particle 36-38 .”

    From Photonic topological boundary pumping as a probe of 4D quantum Hall physics (2018) · cites this paper as [36]

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Authors
Harper, P. G.
Affiliations
University of Birmingham (GB)
Corresponding author
Harper, P G
Venue
Proceedings of the Physical Society. Section A
Publisher
IOP Publishing
Published
1955-10-01
Volume
68
Issue
10
Pages
874-878
ISSN
0370-1298 (ISSN-L)
DOI
10.1088/0370-1298/68/10/304
OpenAlex
W1968557970
Cited by
1,416
References
0
Citations by year
2026: 66 · 2025: 98 · 2024: 81 · 2023: 78 · 2022: 84 · 2021: 94 · 2020: 67 · 2019: 78 · 2018: 57 · 2017: 56 · 2016: 46 · 2015: 57 · 2014: 47 · 2013: 37 · 2012: 31
FWCI
3.51
Type
journal article
Language
en
Open access
Locations
Proceedings of the Physical Society Section A (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Surface and Thin Film Phenomena
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
Keywords
conduction electrons, uniform magnetic field, Landau levels, conduction band, tight-binding model, simple cubic lattice, electron-lattice coupling, level broadening, free electron model

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