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Singular behavior of Anderson-localized wave functions for a two-site model

Author(s): Johri, S; Bhatt, Ravindra N

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dc.contributor.authorJohri, S-
dc.contributor.authorBhatt, Ravindra N-
dc.date.accessioned2018-07-20T15:06:40Z-
dc.date.available2018-07-20T15:06:40Z-
dc.date.issued2012-09-27en_US
dc.identifier.citationJohri, S, Bhatt, RN. (2012). Singular behavior of Anderson-localized wave functions for a two-site model. Physical Review B - Condensed Matter and Materials Physics, 86 (10.1103/PhysRevB.86.125140en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1qh3w-
dc.description.abstractWe show analytically that the apparent nonanalyticity discovered recently in the inverse participation ratio (IPR) of the eigenstates in Anderson's model of localization is also present in a simple two-site model, along with a concurrent nonanalyticity in the density of states (DOS) at the same energy. We demonstrate its evolution from two sites to the thermodynamic limit by numerical methods. For the two-site model, nonanalyticity in higher derivatives of the DOS and IPR is also proven to exist for all bounded distributions of disorder.en_US
dc.language.isoen_USen_US
dc.relation.ispartofPhysical Review B - Condensed Matter and Materials Physicsen_US
dc.rightsAuthor's manuscripten_US
dc.titleSingular behavior of Anderson-localized wave functions for a two-site modelen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevB.86.125140-
dc.date.eissued2012-09-27en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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