Microwave Transmission Spectroscopy of Copper and Silver

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Abstract
This paper describes a set of microwave transmission experiments carried out at a frequency of 35 GHz and a temperature of 4.2 K, in the presence of a dc magnetic field applied normal to the plane of the sample. Strong resonant bursts of transmission are observed in samples thin compared with the mean free path and these are shown to be a new form of cyclotron resonance, not of the Azbel-Kaner type. These resonances are called "cyclotron phase resonances," because they occur when many propagating electrons arrive at the second surface of the sample with the same microwave phase. This resonant effect arises where there is a large region of constant mass on the Fermi surface. In thick samples, a high-frequency version of the Gantmakher-Kaner oscillation is observed. A mechanism is proposed, to explain the propagation in thick samples, which is concerned with the "topological effectiveness" of the electron orbits. A measurement of the microwave phase of the oscillation is used to determine the Fermi velocity by a time-of-flight technique.

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