Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation
Strongly Correlated Electrons
2010-10-04 v2
Abstract
We present a general framework for performing "bold-line" diagrammatic Monte Carlo calculations based on using an analytical partial resummation as a starting point for stochastically summing all diagrams. As an example we solve the one orbital Anderson model using the non-crossing approximation as a starting point. We assess the accuracy of the method by using it to solve the equations of single-site dynamical mean field theory. We establish the validity of the starting approximations and show that the bold method provides a very accurate treatment of the Mott-insulating phase.
Keywords
Cite
@article{arxiv.1004.0724,
title = {Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation},
author = {Emanuel Gull and David R. Reichman and Andrew J. Millis},
journal= {arXiv preprint arXiv:1004.0724},
year = {2010}
}