Quantum Oscillation of the Sound Velocity and the Strain Dependence of the Fermi Surface in Zinc

Abstract

The strain derivatives of the areas of several orbits on the Fermi surface in zinc (i.e. deformation parameters) were determined from the measurements of quantum oscillations of sound velocity in magnetic field up to 50 kG. The experimental values are in good agreement with the results calculated by the 3-OPW method proposed by Watts and Sundström. From the experimental and theoretical deformation parameter values, the values of the form factors of the pseudopotential matrix element and its derivatives with respect to g_i were determined; V(g₀)=−0.0064 Ryd, V(g₁)=0.0372 Ryd and V(g₂)=−0.0351 Ryd, and dV(g₀)⁄d(g₀⁄2k_F)=0.367 Ryd, dV(g₁)⁄d(g₁⁄2k_F)=0.262 Ryd and dV(g₂)⁄d(g₂⁄2k_F)=0.753 Ryd, where g₀, g₁ and g₂ are the [10\bar10]-, [10\bar11]- and [0002]-reciprocal lattice vector, respectively and k_F is free electron value of the Fermi wave number.