Abstract
A numerically implementable multi-scale many-body approach to strongly correlatedelectron systems is introduced. An extension to quantum cluster methods, it approximatescorrelations on any given length-scale commensurate with the strength of the correlationson the respective scale. Short length-scales are treated explicitly, long ones areaddressed at a dynamical mean-field level and intermediate length-regime correlationsare assumed to be weak and are approximated diagrammatically. To illustrateand test this method, we apply it to the one-dimensional Hubbard model. Theresulting multi-scale self-energy provides a very good quantitative agreement withsubstantially more numerically expensive, explicit quantum Monte Carlo calculations.
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