Berlin 2018 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 53: Quantum Impurities and Kondo Physics

TT 53.2: Vortrag

Mittwoch, 14. März 2018, 09:45–10:00, HFT-FT 131

A pseudogap Anderson impurity model as a continuum limit of a generalized integrable Hubbard model — •Yahya Öz and Andreas Klümper — Bergische Universität Wuppertal

Starting from the integrable Hubbard model by use of Shastry’s R-matrix we add an impurity on the lattice. Furthermore, we modify the dispersion relation and hence the density of states of the host characteristic for a pseudogap system. For the thermodynamics of this lattice model we derive a finite set of non-linear integral equations (NLIE) of convolution type. Applying a suitable continuum limit to this integrable lattice model we obtain a pseudogap Anderson impurity model (pAIM). This AIM has vanishing density of states at the Fermi energy with a tunable exponent (ρ≃|є|^r). In this way, the new integrable lattice impurity model with interacting host interacting with an impurity yields a new impurity model in the continuum with a non-interacting host that still interacts with the impurity. We describe the screening of the impurity moment. The Hamiltonian of the new pseudogap Anderson impurity model is explicitly specified.