Résumé |
In this seminar, I will describe some non-ergodic, glassy properties of Anderson
localization. Anderson localization occurs in disordered quantum systems due to
the subtle interplay between quantum interference and disorder. I will discuss
the case of random graphs, where Anderson localization is closely related to the
problem of many-body localization, and also its effects on quantum transport in
dimension two. Guided by an analogy with the problem of directed polymers, which
is considered a `` baby spin glass '', I will present the results of exact
numerical simulations which demonstrate that Anderson localization has non-
ergodic, glassy properties, some crucially affected by quantum interference. |