Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization
Author:
Tam Ka-Ming,Terletska Hanna,Berlijn Tom,Chioncel Liviu,Moreno Juana
Abstract
We develop a real space cluster extension of the typical medium theory (cluster-TMT) to study Anderson localization. By construction, the cluster-TMT approach is formally equivalent to the real space cluster extension of the dynamical mean field theory. Applying the developed method to the 3D Anderson model with a box disorder distribution, we demonstrate that cluster-TMT successfully captures the localization phenomena in all disorder regimes. As a function of the cluster size, our method obtains the correct critical disorder strength for the Anderson localization in 3D, and systematically recovers the re-entrance behavior of the mobility edge. From a general perspective, our developed methodology offers the potential to study Anderson localization at surfaces within quantum embedding theory. This opens the door to studying the interplay between topology and Anderson localization from first principles.
Funder
United States Department of Energy
National Science Foundation
Deutsche Forschungsgemeinschaft
Subject
Inorganic Chemistry,Condensed Matter Physics,General Materials Science,General Chemical Engineering
Cited by
1 articles.
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