Anisotropy of Magnetoacoustic Attenuation and Deformation Potential in Bismuth

Abstract

The tensor components ${C}_{\mathrm{ik}}$ of the deformation potential for electrons and holes in bismuth were evaluated from the anisotropy of quantum oscillations in the magnetoacoustic attenuation, measured at a frequency $f=60$ MHz and a temperature $T=1.6\ifmmode^\circ\else\textdegree\fi{}$K. The sign of the deformation potential cannot be determined by this method. The present results confirm the piezogalvanomagnetic measurements of Jain and Jaggi and, in addition to these, yield the shear components. The results are (a) deformation potential for principal electron ellipsoid: $\frac{{C}_{11}}{{C}_{22}}=\ensuremath{-}0.37$, $\frac{{C}_{33}}{{C}_{22}}=\ensuremath{-}0.29$, $\frac{{C}_{23}}{{C}_{22}}=+0.25$, and ${C}_{22}=\ifmmode\pm\else\textpm\fi{}5.9$ eV, and (b) deformation potential for hole ellipsoid: $\frac{{C}_{33}}{{C}_{22}}=\ensuremath{-}1.03$ and ${C}_{33}=\ifmmode\pm\else\textpm\fi{}1.2$ eV.