Effect of the LandauA1Parameter on the Microwave Field Within an Electron Gas

This is the first of a series of three papers devoted to a theoretical study of the effects of electron correlations on cyclotron phase resonance. In this paper we solve the equations governing the microwave field in a diffuse-surface semi-infinite interacting electron gas in which there is a steady magnetic field normal to the surface. The short-range interaction between electrons is assumed to be described by Landau's theory of the Fermi liquid, subject to the condition that only $A_1$ is nonzero. We find that the microwave field inside the gas reaches its maximum intensity near $\frac{{\omega }_c}{\omega }=1\mathrm{}$, in spite of the fact that the nonlocal conductivity, which in many other situations seems to describe the transmitted signal, reaches its maximum at $\frac{{\omega }_c}{\omega }={(1+A_1)}^{-1\mathrm{}}$.