Band Model for Bismuth-Antimony Alloys

Stuart Golin

doi:10.1103/PhysRev.176.830

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Band Model for Bismuth-Antimony Alloys

Stuart Golin

Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania 15213

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Phys. Rev. 176, 830 – Published 15 December, 1968

DOI: https://doi.org/10.1103/PhysRev.176.830

Abstract

A simple model is proposed which unites many data on alloys of bismuth containing small amounts of antimony. Contrary to the usual interpretation of these data, we propose a crossing of the conduction and valence bands at $L$ at about 6 at.% antimony (i.e., the direct gap, which is responsible for the very small effective masses in bismuth, vanishes at this composition).

References (14)

A. L. Jain and S. H. Koenig, Phys. Rev. 127, 442 (1962) A. A. Lopez and S. H. Koenig, Solid State Commun. 4, 513 (1966) S. H. Koenig, A. A. Lopez, D. B. Smith, and J. L. Yarnell, Phys. Rev. Letters 20, 48 (1968) S. Mase, J. Phys. Soc. Japan 13, 434 (1958) ibid.14, 584 (1959) L. G. Ferreira, J. Phys. Chem. Solids 28, 1891 (1967) ibid.29, 357 (1968)
G. E. Smith, G. A. Baraff, and J. M. Rowell, Phys. Rev. 135, A1118 (1964)
S. Golin, Phys. Rev. 166, 643 (1968)
A. L. Jain, Phys. Rev. 114, 1518 (1959)
M. R. Ellett, R. B. Horst, L. R. Williams, and K. F. Cuff, J. Phys. Soc. Japan Suppl. 21, 666 (1966)
L. C. Hebel and G. E. Smith, Phys. Letters 10, 273 (1964)
D. M. Brown and S. J. Silverman, Phys. Rev. 136, A290 (1964)
M. Dugué, Phys. Status Solidi 11, 149 (1965)
L. Esaki and P. J. Stiles, Phys. Rev. Letters 16, 574 (1966)
N. B. Brandt, L. G. Lyubutina, and N. A. Kryukova, Zh. Eksperim. i Teor. Fiz. 53, 134 (1967) [English transl.: Soviet Phys.—JETP 26, 93 (1968)] N. B. Brandt and V. V. Shchekochikhina, Zh. Eksperim i. Teor. Fiz. 41, 1412 (1961) [English transl.: Soviet Phys.—JETP 14, 1008 (1962)]
Yi-Han Kao, R. D. Brown, and R. L. Hartman, Phys. Rev. 136, A858 (1964)
R. N. Brown, J. G. Mavroides, and B. Lax, Phys. Rev. 129, 2055 (1963) B. Lax, J. G. Mavroides, H. J. Zeiger, and R. J. Keys, Phys. Rev. Letters 5, 241 (1960)
M. H. Cohen, Phys. Rev. 121, 387 (1961) J. O. Dimmock, MIT Laboratory Report No. 1, 1964, p. 41 (unpublished)
G. E. Smith, Phys. Rev. Letters 9, 487 (1962)

[c1] A. L. Jain and S. H. Koenig, Phys. Rev. 127, 442 (1962) A. A. Lopez and S. H. Koenig, Solid State Commun. 4, 513 (1966) S. H. Koenig, A. A. Lopez, D. B. Smith, and J. L. Yarnell, Phys. Rev. Letters 20, 48 (1968) S. Mase, J. Phys. Soc. Japan 13, 434 (1958) ibid.14, 584 (1959) L. G. Ferreira, J. Phys. Chem. Solids 28, 1891 (1967) ibid.29, 357 (1968)

[c2] G. E. Smith, G. A. Baraff, and J. M. Rowell, Phys. Rev. 135, A1118 (1964)

[c3] S. Golin, Phys. Rev. 166, 643 (1968)

[c4] A. L. Jain, Phys. Rev. 114, 1518 (1959)

[c5] M. R. Ellett, R. B. Horst, L. R. Williams, and K. F. Cuff, J. Phys. Soc. Japan Suppl. 21, 666 (1966)

[c6] L. C. Hebel and G. E. Smith, Phys. Letters 10, 273 (1964)

[c7] D. M. Brown and S. J. Silverman, Phys. Rev. 136, A290 (1964)

[c8] M. Dugué, Phys. Status Solidi 11, 149 (1965)

[c9] L. Esaki and P. J. Stiles, Phys. Rev. Letters 16, 574 (1966)

[c10] N. B. Brandt, L. G. Lyubutina, and N. A. Kryukova, Zh. Eksperim. i Teor. Fiz. 53, 134 (1967) [English transl.: Soviet Phys.—JETP 26, 93 (1968)] N. B. Brandt and V. V. Shchekochikhina, Zh. Eksperim i. Teor. Fiz. 41, 1412 (1961) [English transl.: Soviet Phys.—JETP 14, 1008 (1962)]

[c11] Yi-Han Kao, R. D. Brown, and R. L. Hartman, Phys. Rev. 136, A858 (1964)

[c12] R. N. Brown, J. G. Mavroides, and B. Lax, Phys. Rev. 129, 2055 (1963) B. Lax, J. G. Mavroides, H. J. Zeiger, and R. J. Keys, Phys. Rev. Letters 5, 241 (1960)

[c13] M. H. Cohen, Phys. Rev. 121, 387 (1961) J. O. Dimmock, MIT Laboratory Report No. 1, 1964, p. 41 (unpublished)

[c14] G. E. Smith, Phys. Rev. Letters 9, 487 (1962)

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Band Model for Bismuth-Antimony Alloys

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