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

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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