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

Article

关键词: ENERGY-SPECTRUM;    LIFSHITZ TAIL;    STATES;    SUPERCONDUCTOR;   

DOI  :  10.1103/PhysRevB.86.125140

来源: SCIE

【 摘 要 】

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.

【 授权许可】

Free