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Finite-cluster typical medium theory for disordered electronic systems

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dc.contributor.author Ekuma, C. E.
dc.contributor.author Moore, C.
dc.contributor.author Terletska, H.
dc.contributor.author Tam, K. -M.
dc.contributor.author Moreno, J.
dc.contributor.author Jarrell, M.
dc.contributor.author Vidhyadhiraja, N. S.
dc.date.accessioned 2016-12-22T11:23:49Z
dc.date.available 2016-12-22T11:23:49Z
dc.date.issued 2015
dc.identifier.citation Physical Review B en_US
dc.identifier.citation 92 en_US
dc.identifier.citation 1 en_US
dc.identifier.citation Ekuma, C. E.; Moore, C.; Terletska, H.; Tam, K. M.; Moreno, J.; Jarrell, M.; Vidhyadhiraja, N. S., Finite-cluster typical medium theory for disordered electronic systems. Physical Review B 2015, 92 (1), 18. en_US
dc.identifier.issn 2469-9950
dc.identifier.uri https://libjncir.jncasr.ac.in/xmlui/10572/1951
dc.description Restricted access en_US
dc.description.abstract We use the recently developed typical medium dynamical cluster (TMDCA) approach [Ekuma et al., Phys. Rev. B 89, 081107 (2014)] to perform a detailed study of the Anderson localization transition in three dimensions for the box, Gaussian, Lorentzian, and binary disorder distributions, and benchmark them with exact numerical results. Utilizing the nonlocal hybridization function and the momentum resolved typical spectra to characterize the localization transition in three dimensions, we demonstrate the importance of both spatial correlations and a typical environment for the proper characterization of the localization transition in all the disorder distributions studied. As a function of increasing cluster size, the TMDCA systematically recovers the re-entrance behavior of the mobility edge for disorder distributions with finite variance, obtaining the correct critical disorder strengths, and shows that the order parameter critical exponent for the Anderson localization transition is universal. The TMDCA is computationally efficient, requiring only a small cluster to obtain qualitative and quantitative data in good agreement with numerical exact results at a fraction of the computational cost. Our results demonstrate that the TMDCA provides a consistent and systematic description of the Anderson localization transition. en_US
dc.description.uri 2469-9969 en_US
dc.description.uri http://dx.doi.org/10.1103/PhysRevB.92.014209 en_US
dc.language.iso English en_US
dc.publisher American Physical Society en_US
dc.rights ?American Physical Society, 2015 en_US
dc.subject Condensed Matter Physics en_US
dc.subject Metal-Insulator-Transition en_US
dc.subject 3-Dimensional Anderson Model en_US
dc.subject Mobility Edge en_US
dc.subject Renormalization-Group en_US
dc.subject Multifractal Analysis en_US
dc.subject Scaling Theory en_US
dc.subject Localization en_US
dc.subject States en_US
dc.subject Universality en_US
dc.subject Densities en_US
dc.title Finite-cluster typical medium theory for disordered electronic systems en_US
dc.type Article en_US


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