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arXiv · 0801.4498

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

K. S. D. Beach·Matthieu Mambrini·Fabien Alet
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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.

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K. S. D. Beach, Matthieu Mambrini, Fabien Alet. 2008-01-29. Comment on "Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets". https://doi.org/10.1103/physrevb.77.146401

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