Magnetic quantum oscillations in quasi-two-dimensional systems

P. M. Chaikin; T. Holstein; M. Y. Azbel Ibm; T. J. Watson

doi:10.1080/13642818308228571

Magnetic quantum oscillations in quasi-two-dimensional systems

P. M. Chaikin, T. Holstein, M. Y. Azbel Ibm, T. J. Watson

Research output: Contribution to journal › Article › peer-review

Abstract

The energy eigenvalues for electrons moving in two dimensions in the presence of a magnetic field are investigated. It is found that quantum oscillations similar to the de Haas-van Alphen effect can occur, even with open orbits, provided the Fermi energy is not very much greater than the energy of the last closed orbit. We also discuss the condition for effective two-dimensionality in three-dimensional systems. For closed orbits in the plane perpendicular to the field, energy gaps are found in the density of states when the Landau level spacing exceeds the bandwidth in the direction parallel to the field.

Original language	English (US)
Pages (from-to)	457-473
Number of pages	17
Journal	Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume	48
Issue number	5
DOIs	https://doi.org/10.1080/13642818308228571
State	Published - Nov 1983

ASJC Scopus subject areas

General Chemical Engineering
General Physics and Astronomy

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title = "Magnetic quantum oscillations in quasi-two-dimensional systems",

abstract = "The energy eigenvalues for electrons moving in two dimensions in the presence of a magnetic field are investigated. It is found that quantum oscillations similar to the de Haas-van Alphen effect can occur, even with open orbits, provided the Fermi energy is not very much greater than the energy of the last closed orbit. We also discuss the condition for effective two-dimensionality in three-dimensional systems. For closed orbits in the plane perpendicular to the field, energy gaps are found in the density of states when the Landau level spacing exceeds the bandwidth in the direction parallel to the field.",

author = "Chaikin, {P. M.} and T. Holstein and {Azbel Ibm}, {M. Y.} and Watson, {T. J.}",

note = "Funding Information: This research wm supported by the National Science Foundation under grants DMR81-15241 and DMR81-15542.",

year = "1983",

month = nov,

doi = "10.1080/13642818308228571",

language = "English (US)",

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T1 - Magnetic quantum oscillations in quasi-two-dimensional systems

AU - Chaikin, P. M.

AU - Holstein, T.

AU - Azbel Ibm, M. Y.

AU - Watson, T. J.

N1 - Funding Information: This research wm supported by the National Science Foundation under grants DMR81-15241 and DMR81-15542.

PY - 1983/11

Y1 - 1983/11

N2 - The energy eigenvalues for electrons moving in two dimensions in the presence of a magnetic field are investigated. It is found that quantum oscillations similar to the de Haas-van Alphen effect can occur, even with open orbits, provided the Fermi energy is not very much greater than the energy of the last closed orbit. We also discuss the condition for effective two-dimensionality in three-dimensional systems. For closed orbits in the plane perpendicular to the field, energy gaps are found in the density of states when the Landau level spacing exceeds the bandwidth in the direction parallel to the field.

AB - The energy eigenvalues for electrons moving in two dimensions in the presence of a magnetic field are investigated. It is found that quantum oscillations similar to the de Haas-van Alphen effect can occur, even with open orbits, provided the Fermi energy is not very much greater than the energy of the last closed orbit. We also discuss the condition for effective two-dimensionality in three-dimensional systems. For closed orbits in the plane perpendicular to the field, energy gaps are found in the density of states when the Landau level spacing exceeds the bandwidth in the direction parallel to the field.

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JF - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties

IS - 5

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Magnetic quantum oscillations in quasi-two-dimensional systems

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