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Conference: Symposium on Mathematical Physics


Universality in interacting graphene models

Prof. Dr. Marcello Porta's talk
Date: 10.11.14   Time: 09.00 - 10.00   Room: Y27H28

Graphene is a recently discovered material, which can be considered as the first realization of a two-dimensional crystal. Its unique physical properties attracted a lot of interest in the condensed matter physics community, both from a theoretical and an experimental point of view. Remarkably, few interesting features of graphene can be understood from a mathematically rigorous viewpoint. In this talk, I will present results on models for interacting electrons on the honeycomb lattice, describing graphene. In particular, I will present a rigorous proof of the universality of the optical conductivity, which agrees with recent experiments. Also, I will report about recent progress in the understanding of the universality of the Hall conductivity in a related model, the interacting Haldane model. The results are based on a rigorous formulation of the Wilsonian renormalization group, and on Ward identities. This is joint work with A. Giuliani and V. Mastropietro.