Abstract
We present a projector quantum Monte Carlo study of the topological properties of the valence-bond-solid ground state in the - spin model on the square lattice. The winding number is a topological number counting the number of domain walls in the system and is a good quantum number in the thermodynamic limit. We study the finite-size behaviour and obtain the domain wall energy density for a topological nontrivial valence-bond-solid state.
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