Multi-Scale Extensions To Quantum Cluster Methods For Strongly Correlated Electron Systems

Authors

C. Slezak, University of Cincinnati
M. Jarrell, University of Cincinnati
Th Maier, Oak Ridge National Laboratory
J. Deisz, University of Northern IowaFollow

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