Berlin 2012 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 10: Correlated Electrons: (General) Theory 1

TT 10.7: Talk

Monday, March 26, 2012, 16:45–17:00, H 3010

Continued Fractions and Bath-Parametrizations for Quantum Cluster Methods — •Monica Bugeanu and Erik Koch — German Research School for Simulation Sciences, Forschungszentrum Jülich and RWTH Aachen University, 52425 Jülich

The Lanczos method is an ideal solver for dynamical mean-field approaches. Calculations are performed for the ground-state and extensions to finite temperature are straightforward. Dynamical quantities are obtained directly on the real axis without need for analytic continuations. The main limitation, however, is that calculations can only be done for finite baths. The rapidly growing size of the many-body Hilbert space limits actual calculations to quite small bath-sizes. It is therefore crucial to be able to treat as large baths as possible and to choose the bath parameters in an optimal way. We show how this can be achieved using continued fraction representations of the Green function.