Novel Order Parameter to Characterize Valence-Bond-Solid States

Details Novel Order Parameter to Characterize Valence-Bond-Solid States Novel Order Parameter to Characterize Valence-Bond-Solid States

2002-01-14

arxiv.org/abs/cond-mat/0201204v1

Prog. Theor. Phys. Suppl. 145 (2002) 217

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, Proceedings for Yukawa-Institute-for-Theoretical-Physics International Workshop "Order, Disorder, and Dyn

Scientific paper

10.1143/PTPS.145.217

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 configuration of the valence bonds. This allows us to determine the phase transition point in between different VBS states accurately. We demonstrate this theory in the bond-alternating Heisenberg chain and in the frustrated spin ladder.

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