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SUMMARY:Tensor Network Representation of Strongly Correlated States of Mat
 ter - Didier Poilblanc\, Laboratoire de Physique Théorique\, IRSAMC\, Uni
 versité Paul Sabatier Toulouse
DTSTART:20151104T141500Z
DTEND:20151104T151500Z
UID:TALK61552@talks.cam.ac.uk
CONTACT:Dr G Moller
DESCRIPTION:Topological chiral phases are ubiquitous in the physics of the
  Fractional Quantum Hall Effect. Non-chiral topological spin liquids are a
 lso well known. Here\, using the framework of projected entangled pair sta
 tes (PEPS)\, one constructs the spin-1/2 Resonating Valence Bond (RVB) on 
 the kagome lattice and a family of chiral spin liquids on the square latti
 ce which are generalized  RVB states obtained from deformed local tensors 
 with d+id symmetry. Using the PEPS formalism\, one explicitly derives (ort
 hogonal) "minimally entangled" PEPS RVB states in disconnected topological
  sectors. A simple bulk-edge correspondence\, enables one to investigate t
 he Entanglement Spectrum (and the corresponding Topological Hamiltonian) o
 f those topological states. The chiral spin liquid is shown to exhibit chi
 ral edge modes\, which are confronted to predictions of Conformal Field Th
 eory. I argue the state is a magnetic analogue of the nu=1/2 (bosonic) Lau
 ghlin state.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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