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 |
Attachments |
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