Published on Monte Carlo Algorithms in Statistical Physics (http://lattice.complex.unimelb.edu.au/mcalgorithms)

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Anders, Peter

Title: Diagrammatic Monte Carlo method for bosonic impurity problems
Authors: Peter Anders1, Emanuel Gull2, Lode Pollet3, Matthias Troyer1 and Philipp Werner1
Affiliation:
1. Theoretische Physik, ETH Zurich, 8093 Zürich, Switzerland
2. Department of Physics, Columbia University, New York, NY 10027, USA
3. Department of Physics, Harvard University, Cambridge, MA 02138, USA
Abstract:
We present a continuous-time Monte Carlo method for bosonic impurity models which allows the study of bosonic lattice models within the recently developed bosonic dynamical mean field (B-DMFT) framework. The method is based on a Monte Carlo sampling of a perturbation expansion in the hybridization functions as well as the condensate wave function. It allows us to solve the B-DMFT equations and to calculate the Green's function for various temperatures and coupling parameters. As an application we present the B-DMFT phase diagram for the bosonic Hubbard model on the 3d cubic lattice.






26 – 28 July, 2010, Melbourne, Australia.
Source URL: http://lattice.complex.unimelb.edu.au/mcalgorithms/node/41