Temperature-Dependent de Haas-Van Alphen Parameters in Zinc

Abstract

The magnetic susceptibility of a single crystal of zinc has been investigated from 4.2\ifmmode^\circ\else\textdegree\fi{}K to 300\ifmmode^\circ\else\textdegree\fi{}K in fields up to 25 kilogauss. Traces of the de Haas-van Alphen effect persisted at temperatures as high as 200\ifmmode^\circ\else\textdegree\fi{}K. The period of the characteristic susceptibility oscillations increased with increasing temperature, rising from 6.4\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}5}$ ${\mathrm{gauss}}^{\ensuremath{-}1}$ at 4.2\ifmmode^\circ\else\textdegree\fi{}K to 12.5\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}5}$ ${\mathrm{gauss}}^{\ensuremath{-}1}$ at 61.2\ifmmode^\circ\else\textdegree\fi{}K. If present interpretations of the de Haas-van Alphen parameters are valid, temperature dependent effective masses, or chemical potential, or both are implied for the pertinent electrons. A rough calculation indicates that temperature dependences of the right order of magnitude might arise from alteration of the overlap of Brillouin zone boundaries by the Fermi surface as a result of anisotropic thermal expansion of the lattice.In addition to the main oscillations, terms exhibiting periods of approximately 2\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}7}$ ${\mathrm{gauss}}^{\ensuremath{-}1}$ were observed at 4.2\ifmmode^\circ\else\textdegree\fi{}K but were not investigated in detail.