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

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

2007-08-13

arxiv.org/abs/0708.1749v3

Phys. Rev. B 76, 205120 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 9 figures; minor changes; version accepted for PRB

Scientific paper

10.1103/PhysRevB.76.205120

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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