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arXiv · 2109.14267

Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization

Ka-Ming Tam·Hanna Terletska·Tom Berlijn·Liviu Chioncel·Juana Moreno
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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.

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Ka-Ming Tam, Hanna Terletska, Tom Berlijn, Liviu Chioncel, Juana Moreno. 2021-09-29. Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization. https://arxiv.org/abs/2109.14267

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