Nested Cluster Algorithm for Frustrated Quantum Antiferromagnets

Abstract

Simulations of frustrated quantum antiferromagnets suffer from a severe sign problem. We solve the ergodicity problem of the loop-cluster algorithm in a natural way and apply a powerful strategy to address the sign problem. For the spin 1/2 Heisenberg antiferromagnet on a kagome and on a frustrated square lattice, a nested cluster algorithm eliminates the sign problem for large systems. The method is applicable to general lattice geometries but limited to moderate temperatures.

4 pages, 4 figures

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Cited by in corpus (14)

• Ground-State Energy and Spin Gap of Spin-1/2 Kagome Heisenberg Antiferromagnetic Clusters: Large Scale Exact Diagonalization Results
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Quantum Critical Points and the Sign Problem
• The fermion bag approach to lattice field theories
• Easing the Monte Carlo sign problem
• Finite-size scaling and boundary effects in two-dimensional valence-bond-solids
• Sign-problem-free Monte Carlo simulation of certain frustrated quantum magnets
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• Combined unitary and symmetric group approach applied to low-dimensional spin systems
• Marshall-positive SU($N$) quantum spin systems and classical loop models: A practical strategy to design sign-problem-free spin Hamiltonians
• Deconvolving the components of the sign problem
• Real-Time Simulation of Large Open Quantum Spin Systems driven by Measurements
• Reduction of the sign problem near $T=0$ in quantum Monte Carlo simulations
• Sampling and the complexity of nature