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.

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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