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

F. D M Haldane, M. R. Zirnbauer

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)4055-4058
Number of pages4
JournalPhysical review letters
Volume71
Issue number24
DOIs
StatePublished - Jan 1 1993

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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