Non-local corrections to the typical medium theory of Anderson localization

Terletska, Hanna; Moilanen, Aric; Tam, Ka-Ming; Zhang, Y.; Wang, Yang; Eisenbach, Markus; Vidhyadhiraja, N. S.; Chioncel, L.; Moreno, Juana

doi:10.1016/j.aop.2021.168454

Title: Non-local corrections to the typical medium theory of Anderson localization

Journal Article · Mon Mar 29 00:00:00 EDT 2021 · Annals of Physics

DOI:https://doi.org/10.1016/j.aop.2021.168454· OSTI ID:1844838

Terletska, Hanna ^[1];

^[1]; Tam, Ka-Ming ^[2]; Zhang, Y. ^[3]; Wang, Yang ^[4];

^[5]; Vidhyadhiraja, N. S. ^[6];

^[7];

^[2]

Middle Tennessee State Univ., Murfreesboro, TN (United States)
Louisiana State Univ., Baton Rouge, LA (United States)
Chinese Academy of Sciences (CAS), Beijing (China)
Carnegie Mellon Univ., Pittsburgh, PA (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Jawaharlal Nehru Centre for Advanced Scientific Research (JNCASR), Jakkur, Bangalore (India)
Univ. of Ausburg (Germany)

We use the recently developed finite cluster typical medium approach to study the Anderson localization transition in three dimensions. Applying our method to the box and binary alloy disorder distributions, we find a fast convergence with the cluster size. We demonstrate the importance of the typical medium environment and the non-local spatial correlations for the proper characterization of the localization transition. As the cluster size increases, our typical medium cluster method recovers the correct critical disorder strength for the transition. Our findings highlight the importance of the non-local cluster corrections for capturing the localization behavior of the mobility edge trajectories. Our results demonstrate that the typical medium cluster approach developed here provides a consistent and systematic description of the Anderson localization transition in the framework of the effective medium embedding schemes.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1844838

Alternate ID(s):: OSTI ID: 1835171

Journal Information:: Annals of Physics, Vol. 435, Issue 1; ISSN 0003-4916

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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