Absolute de Haas-van Alphen amplitudes andg-factor measurements in Au using the wave-shape-analysis technique

Abstract

A technique of de Haas-van Alphen (dHvA) wave-shape analysis is described and used to determine the absolute amplitude of the $〈111〉$ neck and $〈110〉$ dog-bone oscillations in pure Au. Only relative amplitude and phase measurements of the first and second dHvA harmonics are required. The technique projects out separately both the Lifshitz-Kosevitch dHvA second-harmonic content, and that due to magnetic interaction effects. Measured dHvA absolute amplitudes are used to directly determine electronic cyclotron-averaged $g$ factors, with the result that $g_c=1.04\mathrm{}\pm 0.03$ for the $〈111〉$ neck orbit and $g_c=2.04\mathrm{}\pm 0.28$ for the $〈110〉$ dog-bone orbit. The result for the neck orbit is about 15% less than that obtained by Randles; there have been no previous $g$-factor determinations for the $〈110〉$ dog-bone orbit in the noble metals. The problem of experimentally determining the effective demagnetizing factor of a nonellipsoidal sample is discussed.