Dynamical correlation functions of the S=1/2 nearest-neighbor and Haldane-Shastry Heisenberg antiferromagnetic chains in zero and applied fields

K. Lefmann, C. Rischel

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    We present a numerical diagonalization study of two one-dimensional S=1/2 antiferromagnetic Heisenberg chains, having nearest-neighbor and Haldane-Shastry (1/r(2)) interactions, respectively. We have obtained the T=0 dynamical correlation function, S-alpha alpha(q,omega), for chains of length N=8-28. We have studied S-zz(q,omega) for the Heisenberg chain in zero field, and from finite-size scaling we have obtained a limiting behavior that for large omega deviates from the conjecture proposed earlier by Muller ct al. For both chains we describe the behavior of S-zz(q,omega) and S-xx(q,omega) for selected values of the applied held, and compare with previous work by Muller et al. and Talstra and Haldane. Suggestions for future finite-field neutron scattering experiments are made.
    Original languageEnglish
    JournalPhysical Review B
    Issue number9
    Pages (from-to)6340-6350
    Publication statusPublished - 1996

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