Evidence of electron fractionalization in the Hall coefficient at Mott criticality

TL;DR

This paper demonstrates that electron fractionalization uniquely influences the Hall coefficient at Mott criticality in two dimensions, providing a distinctive experimental signature to distinguish it from other theories.

Contribution

It introduces a method to evaluate the Hall coefficient at Mott criticality considering electron fractionalization, using a gauge-invariant quantum Boltzmann equation approach.

Findings

Electron fractionalization affects the Hall coefficient at Mott criticality.

The approach guarantees gauge invariance in transport calculations.

Distinctive signatures differentiate fractionalization from other theories.

Abstract

Hall coefficient implies the mechanism for reconstruction of a Fermi surface, distinguishing competing scenarios for Mott criticality such as electron fractionalization, dynamical mean-field theory, and metal-insulator transition driven by symmetry breaking. We find that electron fractionalization leaves a signature for the Hall coefficient at Mott criticality in two dimensions, a unique feature differentiated from other theories. We evaluate the Hall coefficient based on the quantum Boltzman equation approach, guaranteeing gauge invariance in both longitudinal and transverse transport coefficients.