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

Abstract

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 (Néel) 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 spinon doping induces longer range interactions in the entanglement Hamiltonian, suggesting the emergence of (additive) log-corrections to the entanglement entropy.

7 pages, 7 figures Improved final version (as published)

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Cited by in corpus (9)

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• Quantum critical phase with infinite projected entangled paired states
• Nematic and supernematic phases in Kagome quantum antiferromagnets under a magnetic field
• Spectral gaps of AKLT Hamiltonians using Tensor Network methods
• Detection of symmetry-protected topological order in AKLT states by exact evaluation of the strange correlator
• Entanglement Hamiltonian of the quantum Néel state
• Phase diagram of the SU($N$) antiferromagnet of spin $S$ on a square lattice
• Resonating valence bonds and spinon pairing in the Dicke model