Statut | Confirmé |
Série | PT-IHES |
Domaines | hep-th |
Date | Mercredi 21 Novembre 2018 |
Heure | 15:00 |
Institut | IHES |
Salle | Amphithéâtre Léon Motchane |
Nom de l'orateur | Antinucci |
Prenom de l'orateur | Giovanni |
Addresse email de l'orateur | |
Institution de l'orateur | University of Zurich |
Titre | A Hierarchical Supersymmetric Model for Weakly Disordered 3d Semimetals |
Résumé | 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. |
Numéro de preprint arXiv | |
Commentaires | Séminaire de probabilités et physique statistique de l'IHES |
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