Symmetry projection schemes for Gaussian Monte Carlo methods

F. F. Assaad, P. Werner, P. Corboz, E. Gull, and M. Troyer
Phys. Rev. B 72, 224518 – Published 30 December 2005

Abstract

A sign-free Monte Carlo method for the Hubbard model has recently been proposed by Corney and Drummond. High-precision measurements on small clusters show that ground-state correlation functions are not correctly reproduced. We argue that the origin of this mismatch lies in the fact that the low-temperature density matrix does not have the symmetries of the Hamiltonian. Here we show that supplementing the algorithm with symmetry projection schemes provides reliable and accurate estimates of ground-state properties.

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  • Received 11 September 2005

DOI:https://doi.org/10.1103/PhysRevB.72.224518

©2005 American Physical Society

Authors & Affiliations

F. F. Assaad

  • Institut für theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland D-97074 Würzburg, Germany

P. Werner, P. Corboz, E. Gull, and M. Troyer

  • Institut für theoretische Physik, ETH Hönggerberg, CH-8093 Zürich, Switzerland

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Issue

Vol. 72, Iss. 22 — 1 December 2005

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