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

H. Terletska; A. Moilanen; K. M. Tam; Y. Zhang; Y. Wang; M. Eisenbach; N. S. Vidhyadhiraja; L. Chioncel; J. Moreno

doi:10.1016/j.aop.2021.168454

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

H. Terletska, A. Moilanen, K. M. Tam, Y. Zhang, Y. Wang, M. Eisenbach, N. S. Vidhyadhiraja, L. Chioncel, J. Moreno

Advanced Computing for Chemistry and Mat

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2 Scopus citations

Abstract

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.

Original language	English
Article number	168454
Journal	Annals of Physics
Volume	435
DOIs	https://doi.org/10.1016/j.aop.2021.168454
State	Published - Dec 2021

Funding

HT has been supported by NSF, USA OAC-1931367 and NSF, USA DMR-1944974 grants. KMT is partially supported by NSF, USA DMR-1728457 and NSF, USA OAC-1931445 . YW is partially supported by NSF, USA OAC-1931525 . The work of ME has been supported by U.S. Department of Energy , Office of Science, Basic Energy Sciences, Material Sciences and Engineering Division and it used resources of the Oak Ridge Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract DE-AC05-00OR22725 . LC gratefully acknowledges the financial support offered by the Augsburg Center for Innovative Technologies, USA and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Projektnummer 107745057-TRR 80/F6 . JM is supported by the U.S. Department of Energy , Office of Science, Office of Basic Energy Sciences under Award Number DE-SC0017861 .

Keywords

Anderson localization
Cluster embedding
Disorder
TMDCA
Typical medium approach

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10.1016/j.aop.2021.168454

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title = "Non-local corrections to the typical medium theory of Anderson localization",

abstract = "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.",

keywords = "Anderson localization, Cluster embedding, Disorder, TMDCA, Typical medium approach",

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T1 - Non-local corrections to the typical medium theory of Anderson localization

AU - Terletska, H.

AU - Moilanen, A.

AU - Tam, K. M.

AU - Zhang, Y.

AU - Wang, Y.

AU - Eisenbach, M.

AU - Vidhyadhiraja, N. S.

AU - Chioncel, L.

AU - Moreno, J.

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - Anderson localization

KW - Cluster embedding

KW - Disorder

KW - TMDCA

KW - Typical medium approach

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VL - 435

JO - Annals of Physics

JF - Annals of Physics

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

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