Quantum cluster algorithm for frustrated Ising models in a transverse field

TL;DR

This paper introduces a new quantum cluster algorithm within the stochastic series expansion framework for simulating frustrated transverse field Ising models, enabling the study of complex phase transitions.

Contribution

The paper presents a novel quantum cluster algorithm tailored for frustrated Ising models in a transverse field, enhancing simulation capabilities.

Findings

Small ferromagnetic next-nearest neighbor coupling induces a phase transition.

The algorithm effectively captures the transition from antiferromagnetic to ferrimagnetic order.

Demonstrates the algorithm's utility in studying frustrated quantum magnetic systems.

Abstract

Working within the stochastic series expansion framework, we introduce and characterize a new quantum cluster algorithm for quantum Monte Carlo simulations of transverse field Ising models with frustrated Ising exchange interactions. As a demonstration of the capabilities of this new algorithm, we show that a relatively small, ferromagnetic next-nearest neighbour coupling drives the transverse field Ising antiferromagnet on the triangular lattice from an antiferromagnetic three-sublattice ordered state at low temperature to a ferrimagnetic three-sublattice ordered state.