Phys. Rev. B 77, 146401 (2008) [2 pages]Comment on “Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets”Received 20 July 2007; published 14 April 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.146401
DOI:
10.1103/PhysRevB.77.146401
PACS:
75.10.Jm, 75.40.Mg, 75.50.Ee
See AlsoOriginal Article: Jacek Wojtkiewicz, Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets, Phys. Rev. B 75, 174421 (2007). |
