Seminar über Theoretische Festkörperphysik
This seminar will take place as an online event.
Université de Toulouse, France
Despite tremendous theoretical efforts to understand the subtleties of the many-body localization (MBL) transition, many questions remain open, in particular concerning its critical properties and microscopic mechanisms. In this talk, I will try to bring new pieces to improve our understanding of this complicated landscape by presenting two recent results obtained for the random-field Heisenberg chain using numerical simulations, scaling analysis, and strong disorder arguments. In short, I will discuss the multifractal properties across the MBL transition  and a newly discovered chain breaking mechanism  which characterises the MBL regime as well as the transition, whose scaling properties agree with a Kosterlitz-Thouless scenario.
 N. Macé, F. Alet, N. Laflorencie, Multifractal scalings across the many-body localization transition, Phys. Rev. Lett. 123, 180601 (2019).
 N. Laflorencie, G. Lemarié, N. Macé, Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition, arXiv:2004.02861