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SUMMARY:A Hierarchical Supersymmetric Model for Weakly Disordered 3d Semim
etals
DTSTART;VALUE=DATE-TIME:20181121T140000Z
DTEND;VALUE=DATE-TIME:20181121T150000Z
DTSTAMP;VALUE=DATE-TIME:20200815T175455Z
UID:indico-event-4142@indico.math.cnrs.fr
DESCRIPTION:An important conjecture in quantum mechanics is that non-inter
acting\, disordered 3d quantum systems should exhibit a localization-deloc
alization transition as a function of the disorder strength. From a mathem
atical viewpoint\, a lot is known about the localized phase for strong dis
order\, much less about the delocalized phase at weak disorder. In this ta
lk I will present results for a hierarchical supersymmetric model for a cl
ass of 3d quantum systems\, called Weyl semimetals. We use rigorous renorm
alization group methods to compute the correlation functions of the system
. In particular\, I will report a result about the algebraic decay of the
averaged two-point correlation function\, compatible with delocalization.
Our method is based on a rigorous implementation of RG\, reminiscent of th
e Gawedzki-Kupiainen block spin transformations\; the main technical novel
ty is the multiscale analysis of Gaussian measures with purely imaginary c
ovariances. \n\n\nJoint work with Luca Fresta and Marcello Porta.\n\nhttps
://indico.math.cnrs.fr/event/4142/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/4142/
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