Faculty Publications
Multi-Scale Extensions To Quantum Cluster Methods For Strongly Correlated Electron Systems
Document Type
Article
Journal/Book/Conference Title
Journal of Physics Condensed Matter
Volume
21
Issue
43
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 dynamical 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. © 2009 IOP Publishing Ltd.
Department
Department of Physics
Original Publication Date
11-20-2009
DOI of published version
10.1088/0953-8984/21/43/435604
Recommended Citation
Slezak, C.; Jarrell, M.; Maier, Th; and Deisz, J., "Multi-Scale Extensions To Quantum Cluster Methods For Strongly Correlated Electron Systems" (2009). Faculty Publications. 2198.
https://scholarworks.uni.edu/facpub/2198
