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Novel Order Parameter to Characterize Valence-Bond-Solid States

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arxiv cond-mat/0201204 v1 pith:FFL24GEX submitted 2002-01-14 cond-mat.stat-mech cond-mat.str-el

Novel Order Parameter to Characterize Valence-Bond-Solid States

Masaaki Nakamura , Synge Todo This is my paper
classification cond-mat.stat-mech cond-mat.str-el
keywords orderparameterstatescharacterizespinvalence-bond-solidaccordingaccurately
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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