Multi-scale Extensions to Quantum Cluster Methods for Strongly Correlated Electron Systems

Details Multi-scale Extensions to Quantum Cluster Methods for Strongly Correlated Electron Systems Multi-scale Extensions to Quantum Cluster Methods for Strongly Correlated Electron Systems

2006-03-16

arxiv.org/abs/cond-mat/0603421v2

C Slezak et al 2009 J. Phys.: Condens. Matter 21 435604

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 16 figures

Scientific paper

10.1088/0953-8984/21/43/435604

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 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.

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