Abstract
The longitudinal magnetoacoustic effects on energy bands in the bismuth structure are investigated by using the quantum mechanical treatment which is valid at high frequencies and in strong magnetic fields. It is found that the absorption coefficient and change in sound velocity oscillate with the dc magnetic field for the Cohen nonellipsoidal nonparabolic (NENP) model. However, no oscillations in the absorption coefficient can be observed in strong magnetic fields for both elliposidal nonparabolic (ENP) and ellipsoidal parabolic (EP) models. These oscillations can be interpreted as the so-called “giant quantum oscillations” which arise from the resonant absorption of the sound wave by electrons. It is also found that the absorption coefficient and change in sound velocity increase with the sound frequency for NENP, ENP, and EP models. There exists a large, discontinuous cusp in the high-frequency region for both ENP and EP models. However, no large, discontinuous cusp can be observed for the NENP model. Therefore, from the numerical analysis presented here, it seems that the NENP model will give a much better description of the energy band structure in bismuth than do the ENP and EP models.
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Partially supported by National Science Council of the Republic of China.
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Wu, CC., Tsai, J. Longitudinal magnetoacoustic effects on energy bands in the bismuth structure. J Low Temp Phys 26, 341–356 (1977). https://doi.org/10.1007/BF00655414
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DOI: https://doi.org/10.1007/BF00655414