Quantum cluster algorithm for frustrated Ising models in a transverse field

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.

two column format; 12 pages; 20 figures

References in corpus (5)

• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices
• Phase diagram of an extended quantum dimer model on the hexagonal lattice
• Melting of three-sublattice order in easy-axis antiferromagnets on triangular and Kagome lattices

Cited by in corpus (11)

• A Neural-Network Variational Quantum Algorithm for Many-Body Dynamics
• Quantum Monte Carlo simulations in the trimer basis: first-order transitions and thermal critical points in frustrated trilayer magnets
• Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects
• Cluster algorithms for frustrated two dimensional Ising antiferromagnets via dual worm constructions
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Singular ferromagnetic susceptibility of the transverse-field Ising antiferromagnet on the triangular lattice
• Monte Carlo study of the discontinuous quantum phase transition in the transverse-field Ising model on the pyrochlore lattice
• Resummation-based updates for Stochastic Series Expansion Quantum Monte Carlo
• Tuning the two-step melting of magnetic orders in a dipolar kagome spin ice by quantum fluctuations
• Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice
• Two-step melting of three-sublattice order in $S=1$ easy-axis triangular lattice antiferromagnets