Percolation Enhanced Supersolids in the Extended Bose-Hubbard Model

TL;DR

This paper investigates how weak and strong disorder affect the stability and formation of supersolid states in the extended Bose-Hubbard model, revealing disorder-induced percolation effects.

Contribution

It introduces a disorder mean field theory and compares it with quantum Monte Carlo results to analyze supersolid stability under disorder.

Findings

Supersolids remain stable under weak disorder.

Increasing disorder can induce supersolidity via percolation.

Disorder strength influences phase transitions in the model.

Abstract

We theoretically study the stability of lattice supersolid states in the extended Bose-Hubbard model with bounded spatial disorder. We construct a disorder mean field theory and compare with quantum Monte Carlo calculations. The supersolid survives weak disorder on the simple cubic lattice. We also find that increasing disorder strength can transform a lattice solid into a supersolid as it tends to percolate through the disorder landscape.