Towards the Realization of Self-Consistent Effective Medium Theory for Anderson Disorder Model

ORAL

Abstract

A mean-field theory that properly characterizes the Anderson localization transition in three dimensions has remain elusive. Here, we present a systematic typical medium dynamical cluster approximation that provides a proper description of this phenomenon. Our method accurately provides a proper way to treat the different energy scales (close to the criticality) such that the characteristic re-entrant behavior of the mobility edge is obtained. This allows us to study the localization in different momenta cells, which renders the discovery that the Anderson localization transition occurs in a \textit{momentum cell-selective fashion}. As a function of cluster size, our method systematically recovers the re-entrance behavior of the mobility edge and obtains the correct critical disorder strength with great improvement on the critical exponent of the order parameter ($\beta > 1.4$).

*This work is supported by the NSF EPSCoR EPS-1003897; and DOE BES DE-AC02-98CH10886 and SciDAC DE-SC0005274. Supercomputer support is provided by LONI and HPC@LSU.

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Authors

  • Chinedu Ekuma

    • Department of Physics \& Astronomy and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA

  • Hanna Terletska

    • Department of Physics \& Astronomy and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA

  • Ka Ming Tam

    • Department of Physics \& Astronomy and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA

  • Zi Yang Meng

    • Department of Physics \& Astronomy and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA

  • Juana Moreno

    • Department of Physics \& Astronomy and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA

  • Mark Jarrell

    • Department of Physics \& Astronomy and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA