Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2013

Field-induced superfluids and Bose liquids in Projected Entangled Pair States

Résumé

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 Z_2 symmetry of the underlying RVB state. We also find that the boundary Hamiltonian of the spinon liquid is long-range, suggesting the existence of (additive) log-corrections to the entanglement entropy.

Dates et versions

hal-00856639 , version 1 (02-09-2013)

Identifiants

Citer

Didier Poilblanc, Norbert Schuch, J. Ignacio Cirac. Field-induced superfluids and Bose liquids in Projected Entangled Pair States. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2013, 88, pp.144414. ⟨10.1103/PhysRevB.88.144414⟩. ⟨hal-00856639⟩
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