Linear response theory of a two-component anyon gas and a two-dimensional Coulomb gas.

Abstract

In this paper we present a linear-response theory of a two-component anyon gas. In the saddle-point approximation, a neutral two-component anyon gas has the same form of Lagrangian as a neutral two-dimensional Coulomb gas. All asymptotic behaviors of density-matrix correlation function of these two gases decay in power of the distance. On the other hand, linear-response theory tells us that the electromagnetic responses of these two models are very different: there is no diamagnetism, i.e., no Meissner effect in the ground state of the two-component anyon model, in contrast to that of the Coulomb gas.