English

Comment on "Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets"

Strongly Correlated Electrons 2008-05-16 v1 Statistical Mechanics

Abstract

Quantum Monte Carlo methods are sophisticated numerical techniques for simulating interacting quantum systems. In some cases, however, they suffer from the notorious "sign problem" and become too inefficient to be useful. A recent publication [J. Wojtkiewicz, Phys. Rev. B 75, 174421 (2007)] claims to have solved the sign problem for a certain class of frustrated quantum spin systems through the use of a bipartite valence bond basis. We show in this Comment that the apparent positivity of the path integral is due to a misconception about the resolution of the identity operator in this basis, and that consequently the sign problem remains a severe obstacle for the simulation of frustrated quantum magnets.

Keywords

Cite

@article{arxiv.0801.4498,
  title  = {Comment on "Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets"},
  author = {K. S. D. Beach and Matthieu Mambrini and Fabien Alet},
  journal= {arXiv preprint arXiv:0801.4498},
  year   = {2008}
}

Comments

2 pages