Multi-Scale Jacobi Method for Anderson Localization

Bridging multi-scale method for localization problems

A bridging multi-scale method is proposed for the analysis of a class of localization problems in which the micropolar-continuum model is used to describe the localized deformation and the dynamic failure occurs only in a small number of localized regions. It starts with a concurrent discretization of the entire domain with both coarseand finescale finite-element meshes. The coarse-scale mesh i...

Anderson Localization

From the start of their studies students in condensed matter physics are exposed to ordered systems. These systems can be very simple and give insight into the physics of many materials. However it seems that much of what is learned in ordered systems cannot be brought to disordered systems. Instead new conceptual understandings much be reached will very different consquences. One of these is t...

Comment on "Three-dimensional Anderson localization in variable scale disorder".

Gravitational Anderson localization.

We present a higher dimensional model where gravity is bound to a brane due to Anderson localization. The extra dimensions are taken to be a disordered crystal of branes, with randomly distributed tensions of order the fundamental scale. Such geometries bind the graviton and thus allow for arbitrarily large extra dimensions even when the curvature is small. Thus this model is quite distinct fro...

Anderson Localization in Atoms

We investigate the celebrated analogy [1] between Anderson localization phenomena in condensed matter physics [2] and related effects in the ionization process of driven Rydberg atoms, and put them on a quantitative footing. The atomic system we consider for a comprehensive numerical analysis of its ionization properties is a highly excited hydrogen atom exposed to a monochromatic electromagnet...