Elementary formula for the Hall conductivity of interacting systems

TL;DR

This paper presents a new elementary formula for calculating the Hall conductivity in interacting electron systems, assuming a degenerate ground state manifold and preserved translation symmetry.

Contribution

It introduces a novel, simplified formula for the Hall conductivity applicable to interacting systems with specific symmetry and degeneracy conditions.

Findings

Provides a formula for Hall conductivity in interacting systems

Applicable when ground state degeneracy is present

Assumes translation symmetry is unbroken

Abstract

A formula for the Hall conductivity of interacting electrons is given under the assumption that the ground state manifold is N_gs-fold degenerate and discrete translation symmetry is neither explicitly nor spontaneously broken.