Claudia Lückert

Wilhelm Killing Kolloquium: Prof. Dr. Antti Knowles (University of Geneva): Random graphs as models of quantum disorder

Thursday, 11.04.2024 14:15 im Raum M4

Mathematik und Informatik

A disordered quantum system is mathematically described by a large Hermitian random matrix. One of the most remarkable phenomena expected to occur in such systems is a localization-delocalization transition for the eigenvectors. Originally proposed in the 1950s to model conduction in semiconductors with random impurities, this phenomenon is now recognized as a general feature of wave transport in disordered media, and is one of the most influential ideas in modern condensed matter physics. A simple and natural model of a disordered quantum system is given by the adjacency matrix of a random graph. I report on recent progress in analysing the phase diagram for the Erdös-Renyi model of random graphs. In particular, I explain the emergence of fully localized and fully delocalized phases, which are separated by a mobility edge. Joint work with Johannes Alt and Raphael Ducatez.

Angelegt am Wednesday, 07.02.2024 10:57 von Claudia Lückert
Geändert am Thursday, 11.04.2024 10:17 von Anita Kollwitz
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Kolloquium Wilhelm Killing