Multifractalité et dynamiques à la transition d’Anderson : des dimensions finies aux dimensions infinies

Weitao Chen (Université nationale de Singapour)

Abstract: The Anderson transition is one of the most intriguing phase transitions in modern condensed matter theory, largely due to the absence of a fully consistent field-theoretical description or renormalization group framework. While low-dimensional Anderson transitions (in the vicinity of two dimensions) can be well captured within the paradigm of second-order phase transitions, the situation in higher dimensions remains elusive, as the corresponding field theories inevitably run into strong-coupling regimes that resist perturbative treatments. In this talk, I will discuss efforts to extend the understanding gained in low-dimensional settings to the high-dimensional Anderson transition, with particular emphasis on two key aspects: multifractality and quantum dynamics. I will approach these issues through the complementary perspectives of random matrix theory and Floquet models, which offer tractable and physically insightful frameworks to probe this enigmatic critical phenomenon.

Contact : B. Georgeot