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29 March 2024
 
  » arxiv » cond-mat/0401634

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Holstein polaron in two and three dimensions by quantum Monte Carlo
Martin Hohenadler ; Hans Gerd Evertz ; Wolfgang von der Linden ;
Date 30 Dec 2003
Journal physica status solidi (b) 242, 1406 (2005) DOI: 10.1002/pssb.200440019
Subject Strongly Correlated Electrons | cond-mat.str-el
AbstractA recently developed quantum Monte Carlo approach to the Holstein model with one electron [PRB 69, 024301 (2004)] is extended to two and three dimensional lattices. A moderate sign problem occurs, which is found to diminish with increasing system size in all dimensions, and not to affect simulations significantly. We present an extensive study of the influence of temperature, system size, dimensionality and model parameters on the small-polaron cross over. Results are extrapolated to remove the error due to the Trotter discretization, which significantly improves the accuracy. Comparison with existing work and other quantum Monte Carlo methods is made. The method can be extended to the many-electron case.
Source arXiv, cond-mat/0401634
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