Multi-scale Extensions to Quantum Cluster Methods for Strongly Correlated Electron Systems
Abstract
A numerically implementable Multi-scale Many-Body approach to strongly correlated electron systems is introduced. An extension to quantum cluster methods, it approximates correlations on any given length-scale commensurate with the strength of the correlations on the respective scale. Short length-scales are treated explicitly, long ones are addressed at a mean-field level and intermediate length-regime correlations are assumed to be weak and are approximated diagrammatically. To illustrate and test this method, we apply it to the one dimensional Hubbard model. The resulting multi-scale self-energy provides a very good quantitative agreement with substantially more numerically expensive, explicit Quantum Monte-Carlo calculations.
Cite
@article{arxiv.cond-mat/0603421,
title = {Multi-scale Extensions to Quantum Cluster Methods for Strongly Correlated Electron Systems},
author = {C. Slezak and M. Jarrell and Th. Maier and J. Deisz},
journal= {arXiv preprint arXiv:cond-mat/0603421},
year = {2012}
}
Comments
14 pages, 16 figures