Faculty Publications

Title

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.

Original Publication Date

11-20-2009

DOI of published version

10.1088/0953-8984/21/43/435604

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