Since the inception of the dynamical mean-field theory, numerous numerical studies have relied on the Hirsch-Fye quantum Monte Carlo (HF-QMC) method for solving the associated impurity problem. Recently developed continuous-time algorithms (CT-QMC) avoid the Trotter discretization error and allow for faster configuration updates, which makes them candidates for replacing HF-QMC. We demonstrate, however, that a state-of-the-art implementation of HF-QMC (with extrapolation of discretization delta_tau -> 0) is competitive with CT-QMC. A quantitative analysis of Trotter errors in HF-QMC estimates and of appropriate delta_tau values is included.
@article{arxiv.0708.1749,
title = {Efficiency of quantum Monte Carlo impurity solvers for dynamical mean-field theory},
author = {N. Blümer},
journal= {arXiv preprint arXiv:0708.1749},
year = {2011}
}
Comments
6 pages, 9 figures; minor changes; version accepted for PRB