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 Anders...

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Autores principales:	Ka-Ming Tam, Hanna Terletska, Tom Berlijn, Liviu Chioncel, Juana Moreno
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	metal insulator transition Anderson localization random disorder typical medium theory dynamical mean field theory coherent potential approximation Crystallography QD901-999
Acceso en línea:	https://doaj.org/article/6a963f0db35c4584964ffc4544b2453b
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spelling	oai:doaj.org-article:6a963f0db35c4584964ffc4544b2453b2021-11-25T17:17:38ZReal Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization10.3390/cryst111112822073-4352https://doaj.org/article/6a963f0db35c4584964ffc4544b2453b2021-10-01T00:00:00Zhttps://www.mdpi.com/2073-4352/11/11/1282https://doaj.org/toc/2073-4352We 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.Ka-Ming TamHanna TerletskaTom BerlijnLiviu ChioncelJuana MorenoMDPI AGarticlemetal insulator transitionAnderson localizationrandom disordertypical medium theorydynamical mean field theorycoherent potential approximationCrystallographyQD901-999ENCrystals, Vol 11, Iss 1282, p 1282 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	metal insulator transition Anderson localization random disorder typical medium theory dynamical mean field theory coherent potential approximation Crystallography QD901-999
spellingShingle	metal insulator transition Anderson localization random disorder typical medium theory dynamical mean field theory coherent potential approximation Crystallography QD901-999 Ka-Ming Tam Hanna Terletska Tom Berlijn Liviu Chioncel Juana Moreno Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization
description	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.
format	article
author	Ka-Ming Tam Hanna Terletska Tom Berlijn Liviu Chioncel Juana Moreno
author_facet	Ka-Ming Tam Hanna Terletska Tom Berlijn Liviu Chioncel Juana Moreno
author_sort	Ka-Ming Tam
title	Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization
title_short	Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization
title_full	Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization
title_fullStr	Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization
title_full_unstemmed	Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization
title_sort	real space quantum cluster formulation for the typical medium theory of anderson localization
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/6a963f0db35c4584964ffc4544b2453b
work_keys_str_mv	AT kamingtam realspacequantumclusterformulationforthetypicalmediumtheoryofandersonlocalization AT hannaterletska realspacequantumclusterformulationforthetypicalmediumtheoryofandersonlocalization AT tomberlijn realspacequantumclusterformulationforthetypicalmediumtheoryofandersonlocalization AT liviuchioncel realspacequantumclusterformulationforthetypicalmediumtheoryofandersonlocalization AT juanamoreno realspacequantumclusterformulationforthetypicalmediumtheoryofandersonlocalization
_version_	1718412535143596032

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

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