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Institute for Condensed Matter Theory Seminar: A short journey: From many-body localization to multi-fractality.

Event Type
The Institute for Condensed Matter Theory
ESB 190
Mar 7, 2022   12:00 pm  
Giuseppe deTomasi
Originating Calendar
Physics - Institute for Condensed Matter Theory Seminar

Many-body localization (MBL) has emerged as a novel paradigm for ergodicity breaking in interacting systems subject to strong disorder.   

In this talk, after a gentle introduction to the concepts of thermalizations and MBL, we will discuss MBL from the Fock-space perspective [1]. We show that the MBL transition can be seen as a transition between ergodic states to non-ergodic extended states (multi-fractal). Furthermore, We demonstrate the non-self-averaging property of the many-body fractal dimension D_q and directly relate it to the jump of D_q as well as of the localization length of the integrals of motion at the MBL transition.  

If time permits, in the last part of the talk, I will provide general bounds for the entanglement entropy for generic fractal many-body states [2].   


[1] PRB104, 024202  

[2] PRL 124, 200602 (2020)

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