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 $J$-$Q_3$ 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.

6 pages, 5 figures, submitted to the proceedings of CCP2014

References in corpus (5)

• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Computational Studies of Quantum Spin Systems
• Finite-size scaling and boundary effects in two-dimensional valence-bond-solids
• Quasi-adiabatic quantum Monte Carlo algorithm for quantum evolution in imaginary time
• Devil's staircases, quantum dimer models, and stripe formation in strong coupling models of quantum frustration