1212.2121 (Peng Ye et al.)

2D Lattice Model Construction of Symmetry-Protected Topological Phases    [PDF]

Peng Ye, Xiao-Gang Wen

We propose a general approach to construct symmetry protected topological (SPT) states (ie the short-range entangled states with symmetry) in 2D spin/boson systems on lattice. In our approach, we fractionalize spins/bosons into different fermions, which occupy nontrivial Chern bands. After the Gutzwiller projection of the free fermion state obtained by filling the Chern bands, we can obtain SPT states on lattice. In particular, we constructed a U(1) SPT state, a SO(3) SPT state, and a SU(2) SPT state on lattice.

View original: http://arxiv.org/abs/1212.2121