Compensation effects in the interaction of the electron and ion subsystems of a metal

A detailed theoretical analysis is made of the interaction of the electron and ion subsystems in normal metals. Simple, but realistic models of the Fermi surface and deformation-potential tensor are used which permit numerical solution of the dispersion relation. To elucidate the consequences of the partial or total mutual compensation of the electron and hole concentrations, both the external parameters (sound frequency, magnetic field) and the model parameters for the metal (the constant of the deformation-potential tensor, the ratio of electron and hole concentrations, the free carrier relaxation rate) are varied. It is shown that in compensated metals the compensation effects lead to strong suppression of the interaction of the lattice with one of the groups of free carriers. The theoretical results are in qualitative agreement with the experimental data obtained in cadmium and tungsten. A quantitative comparison of the theory with experiment is carried out which, in particular, yields an estimate for...