Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-12 antiferromagnetic Heisenberg chain with 1/r2 exchange

F. D. M. Haldane
Phys. Rev. Lett. 60, 635 – Published 15 February 1988
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Abstract

A set of Jastrow wave functions comprises exact eigenstates of a family of S= 12 antiferromagnetic chains with r2 exchange. The ground state of the isotropic model is in this set, and is identical to the U→∞ limit of the Gutzwiller wave function, also identified as Anderson’s ‘‘resonating-valence-bond’’ state. The full set of energy levels of this model is obtained; the spectrum exhibits remarkable ‘‘supermultiplet’’ degeneracies suggesting the existence of a hidden continuous symmetry.

  • Received 15 December 1987

DOI:https://doi.org/10.1103/PhysRevLett.60.635

©1988 American Physical Society

Authors & Affiliations

F. D. M. Haldane

  • Department of Physics, University of California, San Diego, La Jolla, California 92093

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Vol. 60, Iss. 7 — 15 February 1988

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