Seminar "Critical properties of the Anderson transition in random graphs" by Prof. Gabriel Lemarie (CNRS researcher / visiting associate professor, CQT-NUS)

Speaker: Prof. Gabriel Lemarie: CNRS researcher / visiting associate professor, CQT-NUS

Biography: 

Gabriel Lemarie is a CNRS researcher and visiting associate professor at CQT-NUS. He received his PhD from Laboratoire Kastler Brossel under the supervision of D. Delande, after which he completed two postdocs at CEA-Saclay with J.L. Pichard and at Sapienza University, Rome with C. Castellani. His research activities focus on quantum disordered or chaotic systems, with a particular interest in the transport/localization of atomic matter waves, ergodicity breaking in quantum disordered systems, chaos-assisted tunneling, and the effects of interactions in disordered quantum systems. Since 2020, he has been working at MajuLab, an international research laboratory from CNRS-UCA-SU-NUS-NTU located in Singapore.

Critical properties of the Anderson transition in random graphs

Abstract: 

The Anderson transition in random graphs has attracted significant attention because it can be used to better understand the many-body localization (MBL) transition. The MBL transition is still not well understood, but many results have been established for random graphs, such as the existence and precise value of a critical disorder that separates a localized from an ergodic delocalized phase. However, the renormalization group flow and the nature of the Anderson transition are not well understood. Recently, researchers have made a remarkable prediction about the flow of the MBL transition - that it is of Kosterlitz-Thouless type. In our talk, we show that the Anderson transition on graphs displays the same type of flow.