#  Online: Seminar, John Imbrie (University of Virginia), Many-Body Localization near the Critical Point 

 



####  calendar\_today Date and Time 

 **February 9, 2021** 

 10:00AM - 10:00AM EST 

####  pin\_drop Location 

 **Zoom**  



 

 



 

 ![John Imbrie](/sites/g/files/omnuum6611/files/mathpicture/files/imbrie.png)

 

 **Location:** Zoom <https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09>

 **Time:** Tuesday, February 9, 2021, 10:00 AM (Eastern US), 15:00 (UK/Eire), 16:00 (Central Europe), 23:00 (China)

 **Title:** Many-Body Localization near the Critical Point

 **Abstract:** I will examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness. Having demonstrated the existence of the MBL phase at strong disorder, under a level-statistics assumption, I will focus on the nature of the transition out of this phase, using an approximate strong-disorder renormalization group. In this approach, the phase transition is due to the so-called avalanche instability of the MBL phase. I show that the critical behavior can be determined analytically within this RG. The RG flow near the critical fixed point is qualitatively similar to the Kosterlitz-Thouless (KT) flow, but there are important differences, and so this MBL transition is in a universality class that is distinct from KT. The divergence of the correlation length corresponds to critical exponent ν →∞, but the divergence is weaker than for the KT transition. This is joint work with Alan Morningstar and David Huse.

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