Many-body localization edge in the random-field Heisenberg chain
Fabien Alet
LPT Toulouse
Mon, Dec. 15th 2014, 14:00-15:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
The interplay of disorder and interactions in quantum systems can lead to several intriguing phenomena, amongst which the many-body localization (MBL) has attracted a lot of interest lately. MBL states challenge several of our common understanding of statistical mechanics: they do not thermalize, have a low entanglement, and can exhibit long-range order in one dimension at finite energy. After an introduction to the physics of MBL states, I will present our recent results [1] obtained large-scale numerics on the properties of eigenstates of the Heisenberg spin chain in a random field. Our energy-resolved computations allow to find evidence for the existence of a many-body mobility edge in such as system, separating ergodic and MBL phases. \ par noindent [1] David J. Luitz, Nicolas Laflorencie, Fabien Alet, arXiv:1411.0660