Applied Statistical Mechanics: Tutorial and Seminar
Date:
Tutorial Title: Hyperuniformity - A primer
Seminar Title: Effective delocalization in the one-dimensional Anderson model with stealthy hyperuniform disorder
Abstract: I will analyze the 1D Anderson model with stealthy hyperuniform disorder, defined by a power spectrum that vanishes over a continuous band of wavenumbers around the origin. Perturbative expansion of the self-energy and numerical results show that for small disorder $W$ and prescribed stealthiness $\chi$, the system is effectively delocalized, i.e., the localization length $\xi$ exceeds large system sizes. This unusual behavior follows from the systematic cancellation of leading terms so that $\xi$ scales as $W^{-2n}$ with large $n$. Since the underlying mechanism depends only on the stealthy disorder, our findings also apply to photonic and phononic waves.