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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/11/11/1282 |
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| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:35:26Z |
| format | Article |
| id | doaj.art-6a963f0db35c4584964ffc4544b2453b |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T05:35:26Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-6a963f0db35c4584964ffc4544b2453b2023-11-22T22:57:19ZengMDPI AGCrystals2073-43522021-10-011111128210.3390/cryst11111282Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson LocalizationKa-Ming Tam0Hanna Terletska1Tom Berlijn2Liviu Chioncel3Juana Moreno4Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USADepartment of Physics and Astronomy, Middle Tennessee State University, Murfreesboro, TN 37132, USACenter for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USATheoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, D-86135 Augsburg, GermanyDepartment of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USAWe 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.https://www.mdpi.com/2073-4352/11/11/1282metal insulator transitionAnderson localizationrandom disordertypical medium theorydynamical mean field theorycoherent potential approximation |
| spellingShingle | Ka-Ming Tam Hanna Terletska Tom Berlijn Liviu Chioncel Juana Moreno Real Space Quantum Cluster Formulation for the Typical Medium Theory of Anderson Localization Crystals metal insulator transition Anderson localization random disorder typical medium theory dynamical mean field theory coherent potential approximation |
| title | 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_short | 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 |
| topic | metal insulator transition Anderson localization random disorder typical medium theory dynamical mean field theory coherent potential approximation |
| url | https://www.mdpi.com/2073-4352/11/11/1282 |
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