The g-factor and de haas-van alphen effect of electrons in bismuth

M. H. Cohen; E. I. Blount

doi:10.1080/14786436008243294

The g-factor and de haas-van alphen effect of electrons in bismuth

M. H. Cohen
, E. I. Blount

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

162 Scopus citations

Abstract

A theory of the g-factor of conduction electrons is developed which is valid for low symmetry and arbitrary strength of spin-orbit coupling. Application to bismuth shows that m≡ 2/g≃m ₀ for most orientations, where m ₀ is the effective mass entering the cyclotron frequency. Thus g is 260 when H is in the direction of smallest m ₀. Further, the lifting of the spin degeneracy by the magnetic field introduces a factor cos τπm ₀/m ₈ into the rth oscillatory term in the susceptibility. This explains the apparent phase shift of τπ observed in the de Haas-van Alphen oscillations of Bi.

Original language	English (US)
Pages (from-to)	115-126
Number of pages	12
Journal	Philosophical Magazine
Volume	5
Issue number	50
DOIs	https://doi.org/10.1080/14786436008243294
State	Published - Feb 1960
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Engineering
General Physics and Astronomy

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10.1080/14786436008243294

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title = "The g-factor and de haas-van alphen effect of electrons in bismuth",

abstract = "A theory of the g-factor of conduction electrons is developed which is valid for low symmetry and arbitrary strength of spin-orbit coupling. Application to bismuth shows that m≡ 2/g≃m 0 for most orientations, where m 0 is the effective mass entering the cyclotron frequency. Thus g is 260 when H is in the direction of smallest m 0. Further, the lifting of the spin degeneracy by the magnetic field introduces a factor cos τπm 0/m 8 into the rth oscillatory term in the susceptibility. This explains the apparent phase shift of τπ observed in the de Haas-van Alphen oscillations of Bi.",

author = "Cohen, \{M. H.\} and Blount, \{E. I.\}",

note = "Funding Information: Part of this work waa d e dout at the Institute for the Study of M e a of the Univereity of Chicago where it waa supported by grant -918 from the National Soienoe Foundation. We are grehful to Dr. D. Shoenberg, F.R.S. for helpful aad informative disoussions end h J. E. Aubrey, a h of the Mond Leboratory, for permission to use his effeotive-meee valuea prior to publioation. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.",

year = "1960",

month = feb,

doi = "10.1080/14786436008243294",

language = "English (US)",

volume = "5",

pages = "115--126",

journal = "Philosophical Magazine",

issn = "0031-8086",

publisher = "Taylor and Francis Ltd.",

number = "50",

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TY - JOUR

T1 - The g-factor and de haas-van alphen effect of electrons in bismuth

AU - Cohen, M. H.

AU - Blount, E. I.

N1 - Funding Information: Part of this work waa d e dout at the Institute for the Study of M e a of the Univereity of Chicago where it waa supported by grant -918 from the National Soienoe Foundation. We are grehful to Dr. D. Shoenberg, F.R.S. for helpful aad informative disoussions end h J. E. Aubrey, a h of the Mond Leboratory, for permission to use his effeotive-meee valuea prior to publioation. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1960/2

Y1 - 1960/2

N2 - A theory of the g-factor of conduction electrons is developed which is valid for low symmetry and arbitrary strength of spin-orbit coupling. Application to bismuth shows that m≡ 2/g≃m 0 for most orientations, where m 0 is the effective mass entering the cyclotron frequency. Thus g is 260 when H is in the direction of smallest m 0. Further, the lifting of the spin degeneracy by the magnetic field introduces a factor cos τπm 0/m 8 into the rth oscillatory term in the susceptibility. This explains the apparent phase shift of τπ observed in the de Haas-van Alphen oscillations of Bi.

AB - A theory of the g-factor of conduction electrons is developed which is valid for low symmetry and arbitrary strength of spin-orbit coupling. Application to bismuth shows that m≡ 2/g≃m 0 for most orientations, where m 0 is the effective mass entering the cyclotron frequency. Thus g is 260 when H is in the direction of smallest m 0. Further, the lifting of the spin degeneracy by the magnetic field introduces a factor cos τπm 0/m 8 into the rth oscillatory term in the susceptibility. This explains the apparent phase shift of τπ observed in the de Haas-van Alphen oscillations of Bi.

UR - https://www.scopus.com/pages/publications/84996190943

UR - https://www.scopus.com/pages/publications/84996190943#tab=citedBy

U2 - 10.1080/14786436008243294

DO - 10.1080/14786436008243294

M3 - Article

AN - SCOPUS:84996190943

SN - 0031-8086

VL - 5

SP - 115

EP - 126

JO - Philosophical Magazine

JF - Philosophical Magazine

IS - 50

ER -

The g-factor and de haas-van alphen effect of electrons in bismuth

Abstract

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