Variational approach to the XXZ spin-1 linear chain: Elementary excitations and Haldane conjecture

G. Gómez-Santos
Phys. Rev. Lett. 63, 790 – Published 14 August 1989
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Abstract

The XXZ spin-1 chain is studied by means of a physically motivated variational approach. An effective Hamiltonian for the dynamics of spin-0 defects in antiferromagnetic environments (domain walls) is obtained, and its ground-state properties are analyzed. An order-disorder transition is found with critical behavior corresponding to the 2D Ising model universality class, in complete agreement with Haldane conjecture. The approximations involved in this variational scheme are carefully tested using known Monte Carlo results. In particular, excellent agreement with the recently calculated excited states at the Heisenberg (isotropic) point is found, clarifying the nature of these excitations.

  • Received 7 February 1989

DOI:https://doi.org/10.1103/PhysRevLett.63.790

©1989 American Physical Society

Authors & Affiliations

G. Gómez-Santos

  • Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • Departamento de Física de la Materia Condensada, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain

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Vol. 63, Iss. 7 — 14 August 1989

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