Gurevich Magnetomorphic Oscillations in Single Crystals of Aluminum at Helium Temperatures

Abstract

Oscillations periodic in the magnetic field have been observed in the Hall resistivity of two electropolished single crystals of aluminum for the case of a magnetic field along the [111] direction. Both period and amplitude are dependent upon sample thickness in the field direction. The phenomena are interpreted in terms of Gurevich theory as providing a measure of the radius of Gaussian curvature of the second-zone hole surface in the [111] direction. This radius is about three times the radius of the free-electron sphere and is much larger than the values of that radius inferred by other laboratories from experiments upon polycrystalline samples.