Level spacing statistics of the bidimensional Fermi liquid: I. Landau fixed point and integrability

(Received 29 April 1994, revised 28 September 1994, accepted 4 November 1994)

Abstract
We investigate the statistical properties of the excitation spectrum of one- and two-dimensional models for Landau liquids. The level spacing statistics are found to be Poissonian for non-zero separations and sufficiently strong interactions. In the Poissonian regime, the level spacing statistics are independent of the precise form of the interaction parameters.