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|Abstract:||We 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.|
|Electronic Publication Date:||27-Sep-2012|
|Citation:||Johri, 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.86.125140|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||Physical Review B - Condensed Matter and Materials Physics|
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