Self-Consistent Theory of Anderson Localization

Self-consistent Theory of Anderson Localization

Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size.

We present a microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size. The derivation leads to a renormalized, position-dependent diffusion coefficient. The position dependence of the latter is due to the position dependence of return probability in a bounded medium.

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...

Periodic-orbit theory of anderson localization on graphs

We present the first quantum system where Anderson localization is completely described within periodic-orbit theory. The model is a quantum graph analogous to an aperiodic Kronig-Penney model in one dimension. The exact expression for the probability to return to an initially localized state is computed in terms of classical trajectories. It saturates to a finite value due to localization, whi...

Anderson Localization of Light

Dissertation zur Erlangung des akademischen Grades Doktor der Naturwissenschaften