Institut für Theorie der Kondensierten Materie (TKM)
The many-body localization transition: multifractal properties, chain breaking mechanism and Kosterlitz-Thouless scaling

Seminar über Theoretische Festkörperphysik

Vortragender:

Nicolas Laflorencie

Datum:

15.06.2020 14:00

Ort:

This seminar will take place as an online event.

Zugehörigkeit:

Université de Toulouse, France

Gastgeber:

Elmer Doggen

Abstract

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 [1] and a newly discovered chain breaking mechanism [2] which characterises the MBL regime as well as the transition, whose scaling properties agree with a Kosterlitz-Thouless scenario.

[1] N. Macé, F. Alet, N. Laflorencie, Multifractal scalings across the many-body localization transition, Phys. Rev. Lett. 123, 180601 (2019).
[2] N. Laflorencie, G. Lemarié, N. Macé, Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition, arXiv:2004.02861