title: 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 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.
authors.affiliation: Department of Physics, University of Cincinnati, Cincinnati, OH 45221, USA.
authors.forename: C
authors.initials: C
authors.lastname: Slezak
authors.forename: M
authors.initials: M
authors.lastname: Jarrell
authors.forename: Th
authors.initials: T
authors.lastname: Maier
authors.forename: J
authors.initials: J
authors.lastname: Deisz