Order parameter to characterize valence-bond-solid states in quantum spin chains.

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.

• Publication year

  2001

• Venue

  Physical Review Letters

• Publication date

  2001-12-20

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.89.077204arXiv cond-mat/0112377PMID 12190554
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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