Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 36: Focus Session: Advanced Algorithms for Strongly Correlated Quantum Matter

TT 36.4: Invited Talk

Tuesday, April 1, 2014, 11:15–11:45, HSZ 03

Field-Induced Superfluids and Bose Liquids in Projected Entangled Pair States — •Didier Poilblanc — CNRS & University of Toulouse, Toulouse, France

In two-dimensional incompressible quantum spin liquids, a large enough magnetic field generically induces "doping" of polarized S=1 triplons or S=1/2 spinons. We review a number of cases such as spin-3/2 AKLT or spin-1/2 Resonating Valence Bond (RVB) liquids where the Projected Entangled Pair States (PEPS) framework provides very simple and comprehensive pictures. On the bipartite honeycomb lattice, simple PEPS can describe Bose condensed triplons (AKLT) or spinons (RVB) superfluids with transverse staggered (Neel) magnetic order. On the Kagome lattice, doping the RVB state with deconfined spinons or triplons (i.e. spinon bound pairs) yields uncondensed Bose liquids preserving U(1) spin-rotation symmetry. We find that spinon (triplon) doping destroys (preserves) the topological Z₂ symmetry of the underlying RVB state. We also find that spinon doping induces longer range interactions in the entanglement Hamiltonian, suggesting the emergence of (additive) log-corrections to the entanglement entropy.
D. Poilblanc, N. Schuch, and J.I. Cirac, Phys. Rev. B 88, 144414 (2013) and references therein.