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Phys. Rev. B 77, 146401 (2008) [2 pages]

Comment on “Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets”

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K. S. D. Beach1,2, Matthieu Mambrini3, and Fabien Alet3
1Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
2Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2G7
3Laboratoire de Physique Théorique, IRSAMC, CNRS, Université Paul Sabatier, 31062 Toulouse, France

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 Also

Original Article: Jacek Wojtkiewicz, Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets, Phys. Rev. B 75, 174421 (2007).