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DY: Fachverband Dynamik und Statistische Physik

DY 56: Poster - Statistical Physics

DY 56.2: Poster

Thursday, March 19, 2015, 16:00–18:00, Poster A

The symmetric Anderson impurity model in a continuum limit of the Hubbard model — •Yahya Öz and Andreas Klümper — Bergische Universität Wuppertal

Starting from a generalizaton of the Hubbard model by use of Shastry’s R-matrix with two independent spectral parameters an integrable lattice model can be constructed, which yields the symmetric Anderson impurity model in the continuum with all interaction parameters. We use the continuum limit for the deriviation of the thermodynamic equations of the symmetric Anderson impurity model from those of the Hubbard model. We consider two alternative formulations and obtain the infinite set of TBA equations, but also a finite set of non-linear integral equations which allows a much more efficient numerical treatment.