The Real Space Typical Medium Cluster Theory of Anderson Localization
ORAL
Abstract
We develop a real space cluster extension of the typical medium theory (cluster-TMT) to study Anderson localization in disordered materials [1]. By construction, the cluster-TMT approach is formally equivalent to the real space cluster extension of the dynamical mean-field theory (CDMFT). 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 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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Publication: K. M. Tam, H. Terletska, T. Berlijn, L. Chioncel, J. Moreno, Crystals 11, 1282 (2021).
Presenters
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Hanna Terletska
Middle Tennessee State University, Middle Tennessee State University, TN, USA
Authors
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Hanna Terletska
Middle Tennessee State University, Middle Tennessee State University, TN, USA
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Ka-Ming Tam
Louisiana State University, Louisiana State University, LA, USA
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Tom Berlijn
Oak Ridge National Lab, Oak Ridge National Laboratory, Oak Ridge National Laboratory, TN, USA
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Liviu Chioncel
University of Augsburg, Augsburg, Germany, University of Augsburg, Universität Augsburg
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Juana Moreno
Louisiana State University, Louisiana State University, LA , USA