Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains

Details Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains

2001-12-20

arxiv.org/abs/cond-mat/0112377v1

Phys. Rev. Lett. 89 (2002) 077204

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.89.077204

We propose an order parameter to characterize valence-bond-solid (VBS) states in quantum spin chains, given by the ground-state expectation value of a unitary operator appearing in the Lieb-Schultz-Mattis argument. We show that the order parameter changes the sign according to the number of valence bonds (broken valence bonds) at the boundary for periodic (open) systems. This allows us to determine the phase transition point in between different VBS states. We demonstrate this theory in the successive dimerization transitions of the bond-alternating Heisenberg chains, using the quantum Monte Carlo method.

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