2012/12/31 by Yuan-Ming Lu, Dung-Hai Lee, Dung‐Hai Lee
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Doublet state #Electron #Gapless playback #Hamiltonian (control theory) #Physics #Quantum Hall effect #Quantum many-body systems #Quantum mechanics #Quantum spin Hall effect #Quantum spin liquid #Spin (aerodynamics) #Spin engineering #Spin polarization #Spins #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.89.184417
published as Phys. Rev. B 89, 184417(2014) · 5 pages, 2 figures, published version, references updated
openalex publication_date 2014/05/27 · arxiv created 2014/05/30 · arxiv updated 2014/06/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The Affleck-Kennedy-Lieb-Tasaki state (or Haldane phase) in a spin-1 chain represents a large class of gapped topological paramagnets that host symmetry-protected gapless excitations on the boundary. In this work, we show how to realize this type of featureless spin-1 state on a generic two-dimensional lattice. These states have a gapped spectrum in the bulk, but they support gapless edge states protected by spin rotational symmetry along a certain direction, and they exhibit the spin quantum Hall effect. Using a fermion representation of integer spins, we show a concrete example of such spin-1 topological paramagnets on a kagome lattice, and we suggest a microscopic spin-1 Hamiltonian that may realize it.