Disorder#

Anderson localization: the Inverse Participation Ratio vs. disorder strength, and an extended state shown side by side with a localized one. The IPR’s scaling with size and the multifractal states of a critical chain, the self-dual Aubry-André transition of a quasiperiodic chain, Lifshitz tails of the density of states, and the zero modes bound by vacancies in graphene.

Anderson Localization

Anderson Localization

Aubry-André Localization: a Self-Dual Metal-Insulator Transition in 1D

Aubry-André Localization: a Self-Dual Metal-Insulator Transition in 1D

The Inverse Participation Ratio and Multifractal Wave Functions

The Inverse Participation Ratio and Multifractal Wave Functions

Lifshitz Tails in the Density of States of a Disordered Lattice

Lifshitz Tails in the Density of States of a Disordered Lattice

Vacancy-Induced Zero Modes in Graphene

Vacancy-Induced Zero Modes in Graphene