Multi-scale extensions to quantum cluster methods for strongly correlated electron systems
Journal of Physics Condensed Matter
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 of Physics
Original Publication Date
DOI of published version
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.