Universality and critical behavior of the dynamical Mott transition in a system with long-range interactions

TL;DR

This paper investigates the universal critical behavior of the dynamical Mott transition in a long-range interacting system, revealing scaling laws and exponents consistent with experimental observations of vortex systems.

Contribution

It provides numerical evidence of universal scaling and critical exponents for the voltage-driven Mott transition in a long-range interacting particle system.

Findings

Universal scaling behavior of current at the transition

Calculated critical exponents for the transition

Agreement with experimental vortex system data

Abstract

We study numerically the voltage-induced breakdown of a Mott insulating phase in a system of charged classical particles with long-range interactions. At half-filling on a square lattice this system exhibits Mott localization in the form of a checkerboard pattern. We find universal scaling behavior of the current at the dynamic Mott insulator-metal transition and calculate scaling exponents corresponding to the transition. Our results are in agreement, up to a difference in universality class, with recent experimental evidence of dynamic Mott transition in a system of interacting superconducting vortices.