Magnetoacoustic Study of the Rhenium Fermi Surface

Abstract

The magnetic field dependence of the attenuation of longitudinal sound waves with frequencies up to 1 kMc/sec has been studied in very pure rhenium. Ordinary (transverse-field) dimensional resonances, open-orbit resonances, ordinary and giant Landau-level oscillations, longitudinal-field resonances, and cyclotron resonances were observed. Much of the data are consistent with only slight modifications to the 5th-through 8th-zone Fermi-surface sheets calculated by Mattheiss. The dominant signal in the dimensional-resonance data, which yields an isotropic caliper of 0.121 ${\mathrm{\AA }}^{-1\mathrm{}}$ in the basal plane, probably results from the $\Gamma$-centered cavity of the 8th-zone electron sheet. A Landau-level period is observed whose corresponding area is that included by the isotropic caliper. Effective masses obtained from giant Landau-level oscillations and acoustic cyclotron resonance are in reasonable agreement with existing data. The longitudinal-field resonances yield values of the extremal and elliptic limiting point values of $\frac{\partial A}{\partial k_z}$, where $A$ is the cross-sectional area of the Fermi surface in the plane normal to ${\mathbf{k}}_z$.