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Phys. Rev. Lett. 71, 4055–4058 (1993)

Exact calculation of the ground-state dynamical spin correlation function of a S=1/2 antiferromagnetic Heisenberg chain with free spinons

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F. D. M. Haldane
Department of Physics, Princeton University, Princeton, New Jersey 08544

M. R. Zirnbauer
Institut für Theoretische Physik, Universität Köln, Zülpicherstrasse 77, 50937 Köln, Germany

Received 17 August 1993; published in the issue dated 13 December 1993

We calculate the exact dynamical magnetic structure factor S(Q,E) in the ground state of a one-dimensional S=1/2 antiferromagnet with gapless free S=1/2 spinon excitations, the Haldane-Shastry model with inverse-square exchange, which is in the same low-energy universality class as Bethe’s nearest-neighbor exchange model. Only two-spinon excited states contribute, and S(Q,E) is found to be a very simple integral over these states.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.71.4055
DOI:
10.1103/PhysRevLett.71.4055
PACS:
75.10.Jm, 71.10.+x