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SUMMARY:Edge universality in interacting topological insulators - Marcello
  Porta (Eberhard Karls Universität Tübingen)
DTSTART:20181023T090000Z
DTEND:20181023T100000Z
UID:TALK112789@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In the last few years there has been important progress on the
  rigorous understanding of the stability of gapped topological phases for 
 interacting condensed matter systems. Most of the available results deal w
 ith bulk transport\, for systems with no boundaries. In this talk\, I will
  consider interacting 2d topological insulators on the cylinder. According
  to the bulk-edge duality\, one expects robust gapless edge modes to appea
 r. By now\, this has been rigorously understood for a wide class of nonint
 eracting topological insulators\; the main limitation of all existing proo
 fs is that they do not extend to interacting systems. In this talk I will 
 discuss the bulk-edge duality for a class of interacting 2d topological in
 sulators\, including the Haldane-Hubbard model and the Kane-Mele-Hubbard m
 odel. Our theorems give a precise characterization of edge transport: besi
 des the bulk-edge duality\, the interacting edge modes satisfy the Haldane
  relations\, connecting the velocities of the edge currents\, the edge Dru
 de weights and the edge susceptibilities. The proofs are based on rigorous
  renormalization group\, with key nonperturbative inputs coming from the c
 ombination of lattice and emergent Ward identities. Based on joint works w
 ith G. Antinucci (Zurich) and V. Mastropietro (Milan).
LOCATION:Seminar Room 1\, Newton Institute
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