Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices

TL;DR

This paper explores quantum XXZ models on 2D frustrated lattices, revealing novel bulk phases and quantum critical behavior through advanced sign-problem-free Quantum Monte Carlo simulations.

Contribution

It introduces algorithmic advances enabling sign-problem-free simulations of frustrated XXZ models, uncovering new quantum phases and critical phenomena.

Findings

Discovery of unusual bulk quantum phases

Insights into quantum criticality

Progress in simulation techniques for frustrated systems

Abstract

We report recent progress in the study of a particular class of spin 1/2 XXZ model on two-dimensional lattices with frustrated diagonal and unfrustrated off-diagonal interactions. Quantum Monte Carlo simulations can be constructed without a sign problem, however they require non-trivial algorithmic advances in order to combat freezing tendencies. We discuss results obtained using these techniques, in particular the discovery of unusual bulk quantum phases, studies of quantum criticality, and the continuing search for exotic physics in these models.