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Nested Cluster Algorithm for Frustrated Quantum Antiferromagnets

Strongly Correlated Electrons 2008-11-26 v1 Soft Condensed Matter High Energy Physics - Lattice

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.

Keywords

Cite

@article{arxiv.0803.3538,
  title  = {Nested Cluster Algorithm for Frustrated Quantum Antiferromagnets},
  author = {M. Nyfeler and F. -J. Jiang and F. Kämpfer and U. -J. Wiese},
  journal= {arXiv preprint arXiv:0803.3538},
  year   = {2008}
}

Comments

4 pages, 4 figures

R2 v1 2026-06-21T10:24:15.110Z