GENERALIZED PLASMAS AND THE ANOMALOUS QUANTUM HALL EFFECT.

Abstract

Because of a mathematical analogy, the anomalous quantum Hall effect might be related to the classical statistical mechanics of a two-dimensional generalized plasma: this is a two-dimensional system of two species of particles, interacting through logarithmic potentials, with three independent coupling constants (instead of two charges for an ordinary two-component plasma). Sum rules are derived for such systems. A one-dimensional solvable model is studied and shown to obey the one-dimensional analogs of the sum rules.