Bismuth deformation potentials calculated from SdH periods under static strain and from magnetoacoustic attenuation

We describe the non-parabolicity of the electron dispersion in bismuth by the Lax model, which replaces the energy Eby E(1+E/E_G), E_G being the L-point energy gap. It is assumed that the effect of small strains can be accounted for solely by small changes of the electron and hole Fermi energies, dE_F = D_jke_jk,where D_jk and e_jk denote deformation potentials and strains. With this assumption we show that the deformation potentials come out the same whether the dispersion relation is non-parabolic or parabolic. This finding we use in a re-evaluation of the deformation potentials obtained from SdH-measurements under static strain. We further make a mass data correction of deformation potentials obtained from magnetoacoustic attenuation. The two sets of values so obtained are in excellent agreement. This allows us to improve the accuracy, and we recommend to use the following values (unit eV): for electrons: D₁₁ = 2.74 ± 0.50, D₂₂ = –7.38 ± 0.56, D₃₃ = 2.17 ±0.25, D₂₃ = –1.85 ± 0.44and for holes: D₁₁ = –1.06 ± 0.27, D₃₃ = –1.06 ± 0.09