Berlin 2012 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 18: Correlated Electrons: Quantum Impurities, Kondo Physics 2

TT 18.8: Talk

Tuesday, March 27, 2012, 11:30–11:45, H 3005

Non-abelian symmetries and the numerical renormalization group — •Markus Hanl, Andreas Weichselbaum, and Jan von Delft — Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, Munich, Germany

We present a numerical study of the magneto-conductance G(B,T) of the fully symmetric three-channel Anderson-like model, which has been suggested recently as the microscopic model for Fe-impurities in gold or silver [1]. For this, we use the numerical renormalization group method (NRG) which allows us to calculate the magneto-conductance G(B,T) for the relevant parameter space of both, the magnetic field B as well as the temperature T. We use an implementation of the NRG which allows to explicitly exploit any set of non-abelian symmetries. In the given case, this includes the SU(3) channel symmetry. This increases the efficiency by orders of magnitude compared to plain abelian NRG, which thus renders the simulation feasible. We show that our results are well converged, and, though the calculations are numerically very involving, the remaining error is small and controllable.
T. Costi et al., Phys. Rev. Lett. 102, 056802 (2009)