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.
- Authors:
-
[1];
[5];
[6];
[1]
- Louisiana State Univ., Baton Rouge, LA (United States)
- Chinese Academy of Sciences (CAS), Beijing (China). Kavli Institute for Theoretical Sciences
- Middle Tennessee State Univ., Murfreesboro, TN (United States)
- Carnegie Mellon Univ., Pittsburgh, PA (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. of Augsburg (Germany)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- OSTI Identifier:
- 1844837
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Annals of Physics
- Additional Journal Information:
- Journal Volume: 435; Journal Issue: 1; Journal ID: ISSN 0003-4916
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 97 MATHEMATICS AND COMPUTING; Anderson Localization; Typical Medium Theory; Locally Self-Consistent Multiple Scattering
Citation Formats
Tam, Ka-Ming, Zhang, Y., Terletska, Hanna, Wang, Yang, Eisenbach, Markus, Chioncel, Liviu, and Moreno, Juana. Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions. United States: N. p., 2021.
Web. doi:10.1016/j.aop.2021.168480.
Tam, Ka-Ming, Zhang, Y., Terletska, Hanna, Wang, Yang, Eisenbach, Markus, Chioncel, Liviu, & Moreno, Juana. Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions. United States. https://doi.org/10.1016/j.aop.2021.168480
Tam, Ka-Ming, Zhang, Y., Terletska, Hanna, Wang, Yang, Eisenbach, Markus, Chioncel, Liviu, and Moreno, Juana. Mon .
"Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions". United States. https://doi.org/10.1016/j.aop.2021.168480. https://www.osti.gov/servlets/purl/1844837.
@article{osti_1844837,
title = {Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions},
author = {Tam, Ka-Ming and Zhang, Y. and Terletska, Hanna and Wang, Yang and Eisenbach, Markus and Chioncel, Liviu and Moreno, Juana},
abstractNote = {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.},
doi = {10.1016/j.aop.2021.168480},
journal = {Annals of Physics},
number = 1,
volume = 435,
place = {United States},
year = {Mon Apr 05 00:00:00 EDT 2021},
month = {Mon Apr 05 00:00:00 EDT 2021}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
A Reformulation of the Coherent Potential Approximation and Its Applications
journal, July 1971
- Shiba, Hiroyuki
- Progress of Theoretical Physics, Vol. 46, Issue 1
Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems
journal, May 2000
- Hettler, M. H.; Mukherjee, M.; Jarrell, M.
- Physical Review B, Vol. 61, Issue 19
Generalization of the coherent-potential approximation to compositionally modulated alloys
journal, June 1982
- Gonis, A.; Flevaris, N. K.
- Physical Review B, Vol. 25, Issue 12
Typical medium dynamical cluster approximation for the study of Anderson localization in three dimensions
journal, February 2014
- Ekuma, C. E.; Terletska, H.; Tam, K. -M.
- Physical Review B, Vol. 89, Issue 8
Anderson transitions
journal, October 2008
- Evers, Ferdinand; Mirlin, Alexander D.
- Reviews of Modern Physics, Vol. 80, Issue 4
Electronic Structure Ni–Pd Alloys Calculated by the Self-Consistent KKR-CPA Method
journal, February 1982
- Akai, Hisazumi
- Journal of the Physical Society of Japan, Vol. 51, Issue 2
Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class
journal, January 2014
- Slevin, Keith; Ohtsuki, Tomi
- New Journal of Physics, Vol. 16, Issue 1
Reformulation of the nonlocal coherent-potential approximation as a unique reciprocal-space theory of disorder
journal, September 2008
- Rowlands, D. A.; Zhang, X. -G.; Gonis, A.
- Physical Review B, Vol. 78, Issue 11
Low dimensions electron localization in the beyond real space super cell approximation
journal, June 2019
- Moradian, Rostam; Moradian, Sina
- Scientific Reports, Vol. 9, Issue 1
Electronic structure of disordered CuNi alloys
journal, October 1975
- Bansil, A.; Schwartz, L.; Ehrenreich, H.
- Physical Review B, Vol. 12, Issue 8
Calculating condensed matter properties using the KKR-Green's function method—recent developments and applications
journal, August 2011
- Ebert, H.; Ködderitzsch, D.; Minár, J.
- Reports on Progress in Physics, Vol. 74, Issue 9
Absence of Diffusion in Certain Random Lattices
journal, March 1958
- Anderson, P. W.
- Physical Review, Vol. 109, Issue 5
Quantum cluster theories
journal, October 2005
- Maier, Thomas; Jarrell, Mark; Pruschke, Thomas
- Reviews of Modern Physics, Vol. 77, Issue 3
Electronic structure and magnetism of Ga, and Al) alloys by the KKR-CPA method
journal, November 1999
- Bansil, A.; Kaprzyk, S.; Mijnarends, P. E.
- Physical Review B, Vol. 60, Issue 19
Localization: theory and experiment
journal, December 1993
- Kramer, B.; MacKinnon, A.
- Reports on Progress in Physics, Vol. 56, Issue 12
Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
journal, October 2001
- Kotliar, Gabriel; Savrasov, Sergej Y.; Pálsson, Gunnar
- Physical Review Letters, Vol. 87, Issue 18
Inclusion of charge correlations in calculations of the energetics and electronic structure for random substitutional alloys
journal, October 1993
- Johnson, D. D.; Pinski, F. J.
- Physical Review B, Vol. 48, Issue 16
Single-Site Approximations in the Electronic Theory of Simple Binary Alloys
journal, November 1968
- Velický, B.; Kirkpatrick, S.; Ehrenreich, H.
- Physical Review, Vol. 175, Issue 3
Disordered local moment state of magnetic transition metals: a self-consistent KKR CPA calculation
journal, May 1983
- Pindor, A. J.; Staunton, J.; Stocks, G. M.
- Journal of Physics F: Metal Physics, Vol. 13, Issue 5
On the fundamental equations of the Korringa-Kohn-Rostoker (KKR) version of the coherent potential approximation (CPA)
journal, April 1980
- Durham, P. J.; Gyorffy, B. L.; Pindor, A. J.
- Journal of Physics F: Metal Physics, Vol. 10, Issue 4
Typical medium theory of Anderson localization: A local order parameter approach to strong-disorder effects
journal, April 2003
- Dobrosavljević, V.; Pastor, A. A.; Nikolić, B. K.
- Europhysics Letters (EPL), Vol. 62, Issue 1
Systematic Quantum Cluster Typical Medium Method for the Study of Localization in Strongly Disordered Electronic Systems
journal, November 2018
- Terletska, Hanna; Zhang, Yi; Tam, Ka-Ming
- Applied Sciences, Vol. 8, Issue 12
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
journal, January 1996
- Georges, Antoine; Kotliar, Gabriel; Krauth, Werner
- Reviews of Modern Physics, Vol. 68, Issue 1
Study of off-diagonal disorder using the typical medium dynamical cluster approximation
journal, September 2014
- Terletska, H.; Ekuma, C. E.; Moore, C.
- Physical Review B, Vol. 90, Issue 9
Green’s function and a generalized Lloyd formula for the density of states in disordered muffin-tin alloys
journal, October 1990
- Kaprzyk, S.; Bansil, A.
- Physical Review B, Vol. 42, Issue 12
Self-consistent-field-Korringa-Kohn-Rostoker-coherent-potential approximation for random alloys
journal, June 1982
- Stocks, G. M.; Winter, H.
- Zeitschrift f�r Physik B Condensed Matter, Vol. 46, Issue 2
Order- N Multiple Scattering Approach to Electronic Structure Calculations
journal, October 1995
- Wang, Yang; Stocks, G. M.; Shelton, W. A.
- Physical Review Letters, Vol. 75, Issue 15
Korringa-Kohn-Rostoker nonlocal coherent-potential approximation
journal, March 2003
- Rowlands, D. A.; Staunton, J. B.; Györffy, B. L.
- Physical Review B, Vol. 67, Issue 11
Concentration Waves and Fermi Surfaces in Random Metallic Alloys
journal, January 1983
- Gyorffy, B. L.; Stocks, G. M.
- Physical Review Letters, Vol. 50, Issue 5
Numerical analysis of the Anderson localization
journal, October 2006
- Markoš, P.
- Acta Physica Slovaca. Reviews and Tutorials, Vol. 56, Issue 5
Systematic and causal corrections to the coherent potential approximation
journal, March 2001
- Jarrell, M.; Krishnamurthy, H. R.
- Physical Review B, Vol. 63, Issue 12
Paramagnetic Alloys: Electronic Density of States in the Coherent-Potential Approximation
journal, April 1970
- Kirkpatrick, S.; Velický, B.; Ehrenreich, H.
- Physical Review B, Vol. 1, Issue 8
The Locally Self-consistent Multiple Scattering code in a geographically distributed linked MPP environment
journal, November 1998
- J. Sheehan, Timothy; Shelton, William A.; Pratt, Thomas J.
- Parallel Computing, Vol. 24, Issue 12-13
Ab initio typical medium theory of substitutional disorder
journal, January 2020
- Östlin, A.; Zhang, Y.; Terletska, H.
- Physical Review B, Vol. 101, Issue 1
Density-Functional Theory for Random Alloys: Total Energy within the Coherent-Potential Approximation
journal, May 1986
- Johnson, D. D.; Nicholson, D. M.; Pinski, F. J.
- Physical Review Letters, Vol. 56, Issue 19