Real space quantum cluster formulation for the typical medium theory of Anderson localization

  • 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.

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Author:Ka-Ming Tam, Hanna Terletska, Tom Berlijn, Liviu ChioncelORCiDGND, Juana Moreno
Frontdoor URL
Parent Title (English):Crystals
Date of first Publication:2021/10/22
Publishing Institution:Universität Augsburg
Release Date:2021/11/09
Tag:metal insulator transition; Anderson localization; random disorder; typical medium theory; dynamical mean field theory; coherent potential approximation; dynamical cluster approximation; cellular dynamical mean field theory; cluster mean field theory
First Page:1282
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik III
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)