We present a continuous-time Monte Carlo method for quantum impurity models, which combines a weak-coupling expansion with an auxiliary-field decomposition. The method is considerably more efficient than Hirsch-Fye and free of time discretization errors, and is particularly useful as impurity solver in large cluster dynamical mean field theory (DMFT) calculations.
@article{arxiv.0802.3222,
title = {Continuous-time auxiliary field Monte Carlo for quantum impurity models},
author = {Emanuel Gull and Philipp Werner and Olivier Parcollet and Matthias Troyer},
journal= {arXiv preprint arXiv:0802.3222},
year = {2008}
}