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arXiv · 0708.1749

Efficiency of quantum Monte Carlo impurity solvers for dynamical mean-field theory

N. Blümer
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Abstract

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.

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N. Blümer. 2007-10-26. Efficiency of quantum Monte Carlo impurity solvers for dynamical mean-field theory. https://doi.org/10.1103/physrevb.76.205120

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