The disordered single Weyl cone

ORAL

Abstract

We numerically study a single Weyl cone in the presence of short-range disorder. By representing the Hamiltonian in a ``mixed’’ way between real and momentum space we are able to invoke fast Fourier transforms to take advantage of efficient numerical routines (such as Lanczos and the kernel polynomial method) that rely on sparse matrix-vector multiplications. As a result, we can reach sufficiently large system sizes that are comparable to lattice model simulations. We study the distinctions that arise between lattice models that contain band curvature and multiple Weyl nodes that have internode scattering with the case of a single Weyl node with a perfectly linear dispersion. We will report results on the nature of rare regions and the density of states as a function of the strength of disorder as well as compare and contrast single node and multinode situations.

Presenters

  • Jed Pixley

    Rutgers University, Department of Physics and Astronomy, Rutgers University, Rutgers University, New Brunswick, Department of Physics, Rutgers University, Center for Materials Theory, Rutgers University

Authors

  • Jed Pixley

    Rutgers University, Department of Physics and Astronomy, Rutgers University, Rutgers University, New Brunswick, Department of Physics, Rutgers University, Center for Materials Theory, Rutgers University

  • Justin Wilson

    Rutgers University, New Brunswick, Department of Physics, Rutgers University

  • David Huse

    Physics, Princeton University, Princeton University

  • Sankar Das Sarma

    University of Maryland, College Park, Physics, University of Maryland, University of Maryland