Hall effect of charge carriers in a correlated system

Abstract

The dynamical Hall response in a correlated electronic system is analysed within the linear response theory for tight binding models. At $T=0$ the d.c. Hall constant for a single quasiparticle is expressed explicitly via the charge stiffness, and a semiclassical result is recovered. As expected a hole-like response is found for the mobile hole introduced into a quantum antiferromagnet, as represented by the $t-J$ model.