Spin quantum Hall effects in a spin-1 topological paramagnet

Abstract

AKLT state (or Haldane phase) in a spin-1 chain represents a large class of gapped topological paramagnets, which hosts symmetry-protected gapless excitations on the boundary. In this work we show how to realize this type of featureless spin-1 states on a generic two-dimensional lattice. These states have a gapped spectrum in the bulk but supports gapless edge states protected by spin rotational symmetry along a certain direction, and are featured by spin quantum Hall effect. Using fermion representation of integer-spins we show a concrete example of such spin-1 topological paramagnets on kagome lattice, and suggest a microscopic spin-1 Hamiltonian which may realize it.

5 pages, 2 figures, published version, references updated

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• Possible SU(3) Chiral Spin Liquid on the Kagome Lattice
• Universality and quantized response in bosonic nonfractionalized tunneling
• Symmetry protected topological phases in spin-1 ladders and their phase transitions
• Spurious Strange Correlators in Symmetry-Protected Topological Phases