Continuous-time auxiliary-field Monte Carlo for quantum impurity modelsE. Gull1, P. Werner2, O. Parcollet3 and M. Troyer1
1 Theoretische Physik, ETH Zürich - 8093 Zürich, Switzerland
2 Department of Physics, Columbia University - 538 West, 120th Street, New York, NY 10027, USA
3 Institut de Physique Théorique, CEA/DSM/IPhT-CNRS/URA 2306 CEA-Saclay F-91191 Gif-sur-Yvette, France, EU
received 21 February 2008; accepted in final form 7 April 2008; published June 2008
published online 27 May 2008
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.
71.10.Fd - Lattice fermion models (Hubbard model, etc.).
02.70.Ss - Quantum Monte Carlo methods.
71.27.+a - Strongly correlated electron systems; heavy fermions.
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