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 ${73}_{.5}$×${10}^6$ G has been assigned to the third band lens, and is only 4% smaller than predicted by the model for $H\perp \mathrm{}\left[0001\right]\mathrm{}$. 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×${10}^6$ and 17×${10}^6$ 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×${10}^6$ G observed for $H$ in the (0001) plane has not been assigned to the model Fermi surface.