Topological properties of a Valence-Bond-Solid

Abstract

We present a projector quantum Monte Carlo study of the topological properties of the valence-bond-solid ground state in the J-Q3 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 behavior and obtain the domain wall energy density for a topological nontrivial valence-bond-solid state.