Onset of incommensurability at the valence-bond-solid point in the S=1 quantum spin chain

U. Schollwöck, Th. Jolicœur, and T. Garel
Phys. Rev. B 53, 3304 – Published 1 February 1996
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Abstract

Most of the present understanding of the S=1 quantum spin chains displaying the Haldane gap is coming from the so-called valence-bond-solid (VBS) Hamiltonian which has an exactly known ground state. We show that this point is characterized by the onset of short-range incommensurate spin correlations in the one-parameter family of Hamiltonians Hθ= cosθiSiSi+1+sinθi (SiSi+1)2. This gives a physical meaning to this special point. We establish precise values for the gaps, correlations, the string order parameter, and identify the VBS point as a disorder point in the sense of classical statistical mechanics. It is a quantum remnant of the classical transition between a ground state with long-range Néel order and a ground state with incommensurate long-range order. © 1996 The American Physical Society.

  • Received 1 June 1995

DOI:https://doi.org/10.1103/PhysRevB.53.3304

©1996 American Physical Society

Authors & Affiliations

U. Schollwöck, Th. Jolicœur, and T. Garel

  • Service de Physique Théorique, Centre d’Etudes Nucleare de Saclay, F-91191 Gif-sur-Yvette, France

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Vol. 53, Iss. 6 — 1 February 1996

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