Volume 82, Number 5, June 2008
Article Number 57003
Number of page(s) 6
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
Published online 27 May 2008
EPL, 82 (2008) 57003
DOI: 10.1209/0295-5075/82/57003

Continuous-time auxiliary-field Monte Carlo for quantum impurity models

E. 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.

© EPLA 2008