Comment on "Phase Diagram of a Disordered Boson Hubbard Model in Two Dimensions"

TL;DR

This paper clarifies that earlier claims of a direct superfluid-Mott insulator transition in a disordered model are incorrect due to finite-size effects and overlooked theoretical constraints.

Contribution

It provides a rigorous proof that previous numerical results were invalid, emphasizing the importance of system size and theoretical considerations.

Findings

Previous claims of direct transition are incorrect

Finite-size effects can mislead phase transition observations

Rigorous theorems must be considered in numerical studies

Abstract

We prove that previous claims of observing a direct superfluid-Mott insulator transition in the disordered J-current model are in error because numerical simulations were done for too small system sizes and the authors ignored the rigorous theorem.