Quantum Oscillations of the Ultrasonic Absorption in Magnesium and Zinc

E. W. Fenton; S. B. Woods

doi:10.1103/PhysRev.151.424

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Quantum Oscillations of the Ultrasonic Absorption in Magnesium and Zinc

E. W. Fenton^* and S. B. Woods

Department of Physics, University of Alberta, Edmonton, Alberta, Canada

^*Present address: Department of Physics, Simon Fraser University, Burnaby 2, British Columbia, Canada.

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Phys. Rev. 151, 424 – Published 11 November, 1966

DOI: https://doi.org/10.1103/PhysRev.151.424

Abstract

Quantum oscillations of the ultrasonic absorption have been studied in magnesium and zinc at magnetic fields between 5 and 20 kG. Low-amplitude oscillations, similar to the de Haas-van Alphen oscillations of magnetic susceptibility in period, temperature dependence of the amplitude, and line shape, are observed when $ql \sim 1$ , where $q$ is the propagation constant of the sound wave and $l$ is the mean free path of the electrons. The dependence of the amplitude on the angle between the magnetic-field vector and the direction of sound propagation does not agree with predictions. Oscillations of much larger amplitude have been observed in zinc with $ql \sim 15$ . Difficulty arises in comparing measurements of these oscillations with theory because they are characteristic of a region intermediate between the de Haas-van Alphen and giant oscillation regimes. Spin splitting of the absorption peaks is observed in zinc, but not in magnesium.

References (15)

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[c1] D. H. Reneker, Phys. Rev. 115, 303 (1959)

[c2] J. G. Mavroides, B. Lax, K. J. Button, and Y. Shapira, Phys. Rev. Letters 9, 451 (1962)

[c3] A. M. Toxen and S. Tansal, Phys. Rev. 137, A211 (1965)

[c4] D. Gibbons, Phil. Mag. 6, 445 (1961)

[c5] A. P. Korolyuk and T. A. Prushchak, Zh. Eksperim i Teor. Fiz. 41, 1689 (1961) [English transl.: Soviet Phys.—JETP 14, 1201 (1962)]

[c6] J. B. Ketterson, Phys. Rev. 129, 18 (1963)

[c7] Y. Shapira and B. Lax, Phys. Rev. 138, A1191 (1965)

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[c9] V. G. Skovov, Zh. Eksperim i Teor. Fiz. 40, 1445 (1961) [English transl.: Soviet Phys.—JETP 13, 1014 (1961)]

[c10] S. H. Liu and A. M. Toxen, Phys. Rev. 138, A487 (1965)

[c11] J. J. Quinn and S. Rodriguez, Phys. Rev. 128, 2487 (1962)

[c12] M. G. Priestley, Proc. Roy. Soc. (London) A276, 258 (1963)

[c13] W. L. Gordon, A. S. Joseph, and T. G. Eck, The Fermi Surface (John Wiley & Sons, Inc., New York, 1960)

[c14] A. S. Joseph and W. L. Gordon, Phys. Rev. 126, 489 (1962)

[c15] A. Myers and J. R. Bosnell, Phys. Letters 17, 9 (1965)

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Quantum Oscillations of the Ultrasonic Absorption in Magnesium and Zinc

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