Fermi Surface of Zinc: Radio-Frequency Size Effect

Abstract

The Fermi surface of zinc is determined from calipers obtained through rf size-effect measurements. The 6- to 8-MHz rf measurements were performed at 1.2°K on high-purity monocrystals of zinc approximately 0.5 mm in thickness. The Fermi surface was calipered using samples whose normals to the surfaces were parallel to one of the three principal symmetry directions, [0001], [$10\overline{1}0$], and [$11\overline{2}0$], with magnetic field rotations in the plane of the sample. Calipers are assigned to definite orbits on the first- and second-band hole surfaces and the third-band electron surface. The third-band electron "lens" is found to be smooth and round with a major diameter of 1.737 ${\mathrm{\AA }}^{-1\mathrm{}}$ and varying less than 0.5% in the basal plane. The minor diameter has a caliper of 0.556 ${\mathrm{\AA }}^{-1\mathrm{}}$. Calipers are given for the first-band hole surface and the spin-orbit-induced gaps between the first and second bands are discussed. The second-band hole surface is discussed in detail with the assignment of 30 series of calipers to definite orbits on this sheet of the Fermi surface. Both the first and second bands of holes are found to have considerably smaller cross sections than predicted by the single-orthogonalized-plane-wave construction. Detailed comparisons to a recent pseudopotential calculation of the energy bands and the Fermi surface are made. No calipers were observed that could be assigned to the third-band "stars" or the fourth-band electron "cigars."