Diff. Geom, Math. Phys., PDE Seminar: Marcello Porta

  • Date: 04/03/2018
  • Time: 15:30
Lecturer(s):
Marcello Porta, Eberhard Karls University, Tuebingen
Location: 

University of British Columbia

Topic: 

Edge universality in interacting topological insulators

Description: 

In this talk, I will present universality results for the edge transport properties of interacting, 2d topological insulators. I will mostly focus on the case of quantum Hall systems, displaying single mode edge currents. After reviewing recent results for the bulk transport properties, I will present a theorem establishing the universality of the edge conductance and the emergence of spin-charge separation for the edge modes. Combined with well-known results for noninteracting systems, our theorem implies the validity of the bulk-edge correspondence for a class of weakly interacting 2d lattice models, including for instance the interacting Haldane model. The proof is based on rigorous renormalization group methods, and on the combination of chiral Ward identities for the effective 1d QFT describing the infrared scaling limit of the edge currents, together with lattice Ward identities for the original lattice model. Joint work with G. Antinucci (UZH/Tuebingen) and with V. Mastropietro (Milan).

Other Information: 

Location: ESB 2012
Tue 3 Apr 2018, 3:30pm-4:30pm