Anderson localization in doped semiconductors

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...

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...

Anderson localization in bipartite lattices

We study the localization properties of a disordered tight-binding Hamiltonian on a generic bipartite lattice close to the band center. By means of a fermionic replica trick method, we derive the effective non-linear σ-model describing the diffusive modes, which we analyse by using the Wilson–Polyakov renormalization group. In addition to the standard parameters which define the non-linear σ-mo...

Doped Semiconductors: Role of 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...