Dresden 2011 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 9: CE: (General) Theory 1

TT 9.11: Talk

Monday, March 14, 2011, 17:00–17:15, HSZ 201

Non-Abelian SU(N) symmetries applied to matrix product states — •Andreas Weichselbaum and Jan von Delft — Ludwig Maximilians University, Munich, Germany

We generalized our numerical framework of matrix product states (MPS) from arbitrary Abelian to non-abelian quantum symmetries. It is based on the simple observation that Clebsch Gordan coefficient spaces can be split off in a tensor product like fashion for all objects relevant within MPS, and is thus applicable to the numerical or density matrix renormalization group (NRG or DMRG, respectively). As an example, I will present results on a generalized SU(3) symmetric Anderson impurity model within the numerical renormalization group based on the explicit treatment of U(1)⊗SU(2)⊗SU(3) and SU(2)^{⊗ 4} symmetries. This model of a fully screened S=3/2 spin Anderson model was suggested recently as the effective microscopic Kondo model for Fe impurities in gold or silver.