Selfconsistent Auxiliary Particle Theory for Strongly Correlated Fermion Systems

S. Kirchner, J. Kroha and P. Wölfle
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S. Kirchner: Universität Karlsruhe, Institut für Theorie der Kondensierten Materie
J. Kroha: Universität Karlsruhe, Institut für Theorie der Kondensierten Materie
P. Wölfle: Universität Karlsruhe, Institut für Theorie der Kondensierten Materie

A chapter in High Performance Computing in Science and Engineering ’02, 2003, pp 122-132 from Springer

Abstract: Abstract The single impurity Anderson model (SIAM) in the localized moment regime is used as the generic model to analyze strong correlations in metals. As it turns out the auxiliary particle representation is a convenient way for formulating selfconsistent approximations for SIAMs. We discuss the Non-Crossing Approximation, or NCA, one of the simplest approximations possible and point out why massive parallel machines are necessary when going beyond NCA. The CTMA, an approximation capable of describing the correct groundstate and the SUNCA for impurity systems with finite Coulomb repulsion are discussed and numerical results are presented.

Keywords: Fermi Energy; Coulomb Repulsion; Charge Fluctuation; Dynamical Mean Field Theory; Numerical Renormalization Group (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59354-3_10

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DOI: 10.1007/978-3-642-59354-3_10

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