Some properties of a charged two-dimensional isotropic Fermi liquid

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Abstract
The results obtained by using the Landau-Silin theory of a charged Fermi liquid to calculate some properties of an interacting two-dimensional electron gas are presented. The static properties considered are the specific heat, spin susceptibility, and compressibility. The dynamical properties discussed are the frequency-dependent magnetoconductivity tensor and the wave-vector-dependent transverse dynamic spin susceptibility in the long-wavelength limit. We compare these results with the analogous well-known formulas valid for a three-dimensional Fermi liquid and conclude that there are no new effects associated with the reduced dimensionality.

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