Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series PT-IHES
Subjects hep-th
Date Wednesday 21 November 2018
Time 15:00
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Antinucci
Speaker's First Name Giovanni
Speaker's Email Address
Speaker's Institution University of Zurich
Title A Hierarchical Supersymmetric Model for Weakly Disordered 3d Semimetals
Abstract An important conjecture in quantum mechanics is that non-interacting, disordered 3d quantum systems should exhibit a localization-delocalization transition as a function of the disorder strength. From a mathematical viewpoint, a lot is known about the localized phase for strong disorder, much less about the delocalized phase at weak disorder. In this talk I will present results for a hierarchical supersymmetric model for a class of 3d quantum systems, called Weyl semimetals. We use rigorous renormalization 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 the Gawedzki-Kupiainen block spin transformations; the main technical novelty is the multiscale analysis of Gaussian measures with purely imaginary covariances. Joint work with Luca Fresta and Marcello Porta.
arXiv Preprint Number
Comments Séminaire de probabilités et physique statistique de l'IHES
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