Intermediate-Field de Haas-van Alphen Effect in Zinc

Abstract

Torsion measurements have been made of the de Haas---van Alphen oscillations in zinc in magnetic fields up to 33 kG, using time-differentiation techniques to extract the higher frequency oscillations from a much larger background of low-frequency oscillations. In addition to the six frequencies observed by earlier investigators, seven new frequencies were observed in the frequency range ${10}^{7}$-${10}^{8}$ G. Six of these can be assigned to orbits on the nearly-free-electron Fermi surface model, confirming the validity of the model for some of the larger orbits on the Fermi surface. A frequency of ${73}_{.5}$\ifmmode\times\else\texttimes\fi{}${10}^{6}$ G has been assigned to the third band lens, and is only 4% smaller than predicted by the model for $H\ensuremath{\perp}[0001]$. Three other frequencies can be assigned to orbits on the multiply connected second-band section, two of which have alternative assignments involving magnetic breakdown of the spin-orbit energy gap. Frequencies of 12\ifmmode\times\else\texttimes\fi{}${10}^{6}$ and 17\ifmmode\times\else\texttimes\fi{}${10}^{6}$ G observed for $H$ near [0001] suggest assignment to the fourth-band cigar and third-band butterflies, though the dominance of other frequencies prevented the determination of the orientation dependence. A frequency of 47\ifmmode\times\else\texttimes\fi{}${10}^{6}$ G observed for $H$ in the (0001) plane has not been assigned to the model Fermi surface.