Magnetooptical sum rules close to the Mott transition

TL;DR

This paper derives new sum rules for Hall responses and discusses their relevance to doped Mott insulators using dynamical mean-field theory, advancing understanding of strongly correlated electron systems.

Contribution

It introduces novel sum rules for Hall conductivity and constant, specifically applied to doped Mott insulators within dynamical mean-field theory.

Findings

New sum rules for Hall responses derived

Relevance demonstrated for doped Mott insulators

Application within dynamical mean-field theory

Abstract

We derive new sum rules for the real and imaginary parts of the frequency-dependent Hall constant and Hall conductivity. As an example, we discuss their relevance to the doped Mott insulator that we describe within the dynamical mean-field theory of strongly correlated electron systems.