Generalized Multiband Typical Medium Dynamical Cluster Approximation: Application to (Ga,Mn)N

ORAL

Abstract

We generalize the multiband typical medium dynamical cluster approximation and the formalism introduced by Blackman, Esterling and Berk so that it can deal with localization in multiband disordered systems with both diagonal and off-diagonal disorder with complicated potentials. We also introduce a new ansatz for the momentum resolved typical density of states that greatly improves the numerical stability of the method, while preserving the independence of scattering events at different frequencies. Starting from the first-principles effective Hamiltonian, we apply this method to the diluted magnetic semiconductor Ga$_{1-x}$Mn$_x$N, and find the impurity band is completely localized for Mn concentrations $x<0.03$, while for $0.03

Authors

  • Yi Zhang

    • Louisiana State Univ - Baton Rouge
  • Ryky Nelson

    • RWTH Aachen University
  • Elisha Siddiqui

    • Louisiana State Univ - Baton Rouge
  • Ka Ming Tam

    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics, Louisiana State University
    • Louisiana State Univ - Baton Rouge
    • Louisiana State University
  • Unjong Yu

    • GIST, Gwangju, Korea
  • T. Berlijn

    • Oak Ridge National Laboratory
  • Wei Ku

    • Tsung-Dao Lee Insittute, China & Shanghai Jiao Tong University, China
    • Brookhaven National Laboratory
    • Shanghai Jiao Tong University
  • Vidhyadhiraja Sudhindra

    • Jawaharlal Nehru Centre For Advanced Scientific Research
  • Juana Moreno

    • Department of Physics and Astronomy, Louisiana State University
    • Louisiana State Univ - Baton Rouge
    • Louisiana State University
  • Mark Jarrell

    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics, Louisiana State University
    • Louisiana State Univ - Baton Rouge