Magnetotransport in the doped Mott insulator

TL;DR

This paper studies the Hall effect and magnetoresistance in doped Mott insulators using dynamical mean-field theory, revealing temperature-dependent behaviors and deviations from Kohler's rule.

Contribution

It provides analytical insights into low- and high-temperature limits and explores intermediate regimes numerically, clarifying the role of lattice conditions in transport properties.

Findings

High-temperature Hall conductivity scales as 1/T^2 due to bipartite lattice conditions

General behavior of Hall conductivity is proportional to 1/T

Kohler's rule is violated at high and intermediate temperatures

Abstract

We investigate the Hall effect and the magnetoresistance of strongly correlated electron systems using the dynamical mean-field theory. We treat the low- and high-temperature limits analytically and explore some aspects of the intermediate-temperature regime numerically. We observe that a bipartite-lattice condition is responsible for the high-temperature result $\sigma_{xy}\sim 1/T^2$ obtained by various authors, whereas the general behavior is $\sigma_{xy}\sim 1/T$, as for the longitudinal conductivity. We find that Kohler's rule is neither obeyed at high nor at intermediate temperatures.