1205.5096 (S. Johri et al.)

Singular Behavior of Anderson Localized Wavefunctions for a Two-Site
Model    [PDF]

S. Johri, R. N. Bhatt

We analytically show that a recently discovered non-analyticity in the inverse participation ratio and density of states of eigenstates in the Anderson model of disorder is also present in a simple two-site model. We numerically demonstrate its evolution from two sites to the thermodynamic limit. Non-analyticity in higher derivatives of the DOS and IPR is also proven to exist for all bounded distributions of disorder.

View original: http://arxiv.org/abs/1205.5096