English

Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices

Disordered Systems and Neural Networks 2009-11-11 v1 Superconductivity

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.

Keywords

Cite

@article{arxiv.cond-mat/0608038,
  title  = {Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices},
  author = {Roger G. Melko},
  journal= {arXiv preprint arXiv:cond-mat/0608038},
  year   = {2009}
}

Comments

10 pages, 5 figures. Conference proceedings for Highly Frustrated Magnetism 2006