APS Logo

The Anderson impurity model in a quasicrystal

ORAL

Abstract

We will discuss the low energy properties of a single magnetic impurity problem in an electronic quasicrystal. Specifically, the single impurity Anderson model is studied using both the numerical renormalization group (NRG) method and a self-consistent slave particle approach. To simulate large quasicrystal geometries, a hybrid approach is developed that uses the kernel polynomial method (KPM) to obtain the tight-binding coefficients of the Wilson chain without the need to compute the eigenstate spectrum of the host via exact diagonalization or to perform numerical integration. Using this KPM+NRG approach we compute the magnetic susceptibility and impurity spectral function from which we show the Kondo temperature develops a broad distribution in the quasicrystal limit with anomalous averages. The results are compared across quasicrystals in various dimensions.

–

Presenters

  • Angkun Wu

    Department of Physics and Astronomy, Rutgers University

Authors

  • Angkun Wu

    Department of Physics and Astronomy, Rutgers University

  • Sarang Gopalakrishnan

    Dept. of Physics and Astronomy, College of Staten Island, City University of New York, CUNY College of Staten Island, Physics, CUNY College of Staten Island, The Graduate Center, CUNY, Department of Physics and Astronomy, CUNY College of Staten Island, CUNY College of Staten Island, CUNY Graduate Center, Physics and Astronomy, CUNY-CSI, Graduate Center, CUNY, New York, NY 10016, USA; Physics and Astronomy, College of Staten Island, Staten Island, NY 10314, USA

  • Jed Pixley

    Rutgers University, New Brunswick, Department of Physics and Astronomy, Rutgers University, Department of Physics, Rutgers, Rutgers University, Rutgers, The State University of New Jersey

  • Kevin Ingersent

    Department of Physics, University of Florida