Reactive Hall response

TL;DR

This paper analyzes the zero temperature Hall constant using linear response theory, revealing its relation to the Drude weight and charge carrier sign changes near Mott-Hubbard transitions, with applications to low-dimensional systems.

Contribution

It introduces a novel formulation linking the Hall constant to the Drude weight, providing insights into charge carrier behavior near Mott-Hubbard transitions.

Findings

R_H is related to the density dependence of the Drude weight.

The sign change of charge carriers is explained near Mott-Hubbard transitions.

Application to quasi-one-dimensional and ladder systems demonstrates the theory's relevance.

Abstract

The zero temperature Hall constant R_H, described by reactive (nondissipative) conductivities, is analyzed within linear response theory. It is found that in a certain limit, R_H is directly related to the density dependence of the Drude weight implying a simple picture for the change of sign of charge carriers in the vicinity of a Mott-Hubbard transition. This novel formulation is applied to the calculation of R_H in quasi-one dimensional and ladder prototype interacting electron systems.