Op. Hansen et al., BISMUTH DEFORMATION POTENTIALS CALCULATED FROM SDH PERIODS UNDER STATIC STRAIN AND FROM MAGNETOACOUSTIC ATTENUATION, Journal of low temperature physics, 95(3-4), 1994, pp. 481-496
We describe the non-parabolicity of the electron dispersion in bismuth
by the Lax model, which replaces the energy E by E(1 + E/E(G)), E(G)
being the L-point energy gap. It is assumed that the effect of small s
trains can be accounted for solely by small changes of the electron an
d hole Fermi energies, dE(F) = SIGMAD(jk)e(jk), where D(jk) and e(jk)
denote deformation potentials and strains. With this assumption we sho
w that the deformation potentials come out the same whether the disper
sion relation is non-parabolic or parabolic. This finding we use in a
re-evaluation of the deformation potentials obtained from SdH-measurem
ents under static strain. We further make a mass data correction of de
formation potentials obtained from magnetoacoustic attenuation. The tw
o sets of values so obtained are in excellent agreement. This allows u
s to improve the accuracy, and we recommend to use the following value
s (unit eV): for electrons: D11 = 2.74 +/- 0.50, D22 = -7.38 +/- 0.56,
D33 = 2.17 +/- 0.25, D23 = -1.85 +/- 0.44 and for holes: D11 = -1.06
+/- 0.27, D33 = 1.06 +/-0.19