Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions

K. M. Tam; Y. Zhang; H. Terletska; Y. Wang; M. Eisenbach; L. Chioncel; J. Moreno

doi:10.1016/j.aop.2021.168480

Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions

K. M. Tam, Y. Zhang, H. Terletska, Y. Wang, M. Eisenbach, L. Chioncel, J. Moreno

Advanced Computing for Chemistry and Mat

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Abstract

We apply the recently developed embedding scheme for the locally self-consistent method to random disorder electrons systems. The method is based on the locally self-consistent multiple scattering theory and the typical medium theory. The locally self-consistent multiple scattering theory divides a system into many small designated local interaction zones. The subsystem within each local interaction zone is embedded in a self-consistent field from the typical medium theory. This approximation allows the study of random systems with large numbers of sites. We present results for the three dimensional Anderson model with different random disorder potential distributions. Using the typical density of states as an indicator of Anderson localization, we find that the method can capture the localization for commonly studied disorder potentials. These include the uniform distribution, the Gaussian distribution, and even the unbounded Cauchy distribution.

Original language	English
Article number	168480
Journal	Annals of Physics
Volume	435
DOIs	https://doi.org/10.1016/j.aop.2021.168480
State	Published - Dec 2021

Funding

This manuscript is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Award Number DE-SC0017861. This work used the high performance computational resources provided by the Louisiana Optical Network Initiative (http://www.loni.org), and HPC@LSU computing. KMT is partially supported by USA National Science Foundation: NSFDMR-1728457 and USA National Science Foundation: NSFOAC-1931445. HT has been supported by USA National Science Foundation: NSFOAC-1931367 and USA National Science Foundation: NSFDMR-1944974 grants. YW is partially supported by USA National Science Foundation: NSFOAC-1931525. The work of ME has been supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Material Sciences and Engineering Division and it used resources of the USA 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 USA Augsburg Center for Innovative Technologies, and by the Germany Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Projektnummer 107745057-TRR 80/F6. This manuscript is based upon work supported by the U.S. Department of Energy , Office of Science, Office of Basic Energy Sciences under Award Number DE-SC0017861 . This work used the high performance computational resources provided by the Louisiana Optical Network Initiative ( http://www.loni.org ), and HPC@LSU computing. KMT is partially supported by USA National Science Foundation: NSF DMR-1728457 and USA National Science Foundation: NSF OAC-1931445 . HT has been supported by USA National Science Foundation: NSF OAC-1931367 and USA National Science Foundation: NSF DMR-1944974 grants. YW is partially supported by USA National Science Foundation: NSF OAC-1931525 . The work of ME has been supported by the U.S. Department of Energy , Office of Science, Basic Energy Sciences, Material Sciences and Engineering Division and it used resources of the USA 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 USA Augsburg Center for Innovative Technologies , and by the Germany Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Projektnummer 107745057-TRR 80/F6.

Keywords

Anderson localization
Locally self-consistent multiple scattering
Typical medium theory

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10.1016/j.aop.2021.168480

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title = "Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions",

abstract = "We apply the recently developed embedding scheme for the locally self-consistent method to random disorder electrons systems. The method is based on the locally self-consistent multiple scattering theory and the typical medium theory. The locally self-consistent multiple scattering theory divides a system into many small designated local interaction zones. The subsystem within each local interaction zone is embedded in a self-consistent field from the typical medium theory. This approximation allows the study of random systems with large numbers of sites. We present results for the three dimensional Anderson model with different random disorder potential distributions. Using the typical density of states as an indicator of Anderson localization, we find that the method can capture the localization for commonly studied disorder potentials. These include the uniform distribution, the Gaussian distribution, and even the unbounded Cauchy distribution.",

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T1 - Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions

AU - Tam, K. M.

AU - Zhang, Y.

AU - Terletska, H.

AU - Wang, Y.

AU - Eisenbach, M.

AU - Chioncel, L.

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AB - We apply the recently developed embedding scheme for the locally self-consistent method to random disorder electrons systems. The method is based on the locally self-consistent multiple scattering theory and the typical medium theory. The locally self-consistent multiple scattering theory divides a system into many small designated local interaction zones. The subsystem within each local interaction zone is embedded in a self-consistent field from the typical medium theory. This approximation allows the study of random systems with large numbers of sites. We present results for the three dimensional Anderson model with different random disorder potential distributions. Using the typical density of states as an indicator of Anderson localization, we find that the method can capture the localization for commonly studied disorder potentials. These include the uniform distribution, the Gaussian distribution, and even the unbounded Cauchy distribution.

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KW - Typical medium theory

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Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions

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