On the Many-Body Localization Transition
John Imbrie (University of Virginia)
|Tue Dec 6, 14:00-15:00 (3 days from now)|
Abstract: A quantum system is said to be many-body localized (MBL) if it fails to thermalize. This can be understood as a consequence of the existence of an extensive set of local integrals of motion (LIOMs). In 2016, I showed that there is an MBL phase by constructing LIOMs at strong disorder (the proof depended on a certain assumption on level statistics). The nature of the transition out of the MBL phase has been a subject of study and conjecture. In recent work with Morningstar and Huse (PRB, 2020), we utilize a series of approximations to develop specific RG flow equations. These are similar to the Kosterlitz-Thouless (KT) flow equations, but there are important differences that place the MBL transition in a new universality class.
Audience: researchers in the discipline
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