Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet

Details Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet

1996-06-10

arxiv.org/abs/cond-mat/9606068v2

Physics

Condensed Matter

6 pages (RevTex) and 5 figures (Postscript)

Scientific paper

10.1103/PhysRevB.55.12510

The exact expression derived by Bougourzi, Couture, and Kacir for the 2-spinon contribution to the dynamic spin structure factor $S_{zz}(q,\omega)$ of he one-dimensional $S$=1/2 Heisenberg antiferromagnet at $T=0$ is evaluated for direct comparison with finite-chain transition rates ($N\leq 28$) and an approximate analytical result previously inferred from finite-$N$ data, sum rules, and Bethe-ansatz calculations. The 2-spinon excitations account for 72.89% of the total intensity in $S_{zz}(q,\omega)$. The singularity structure of the exact result is determined analytically and its spectral-weight distribution evaluated numerically over the entire range of the 2-spinon continuum. The leading singularities of the frequency-dependent spin autocorrelation function, static spin structure factor, and $q$-dependent susceptibility are determined via sum rules.

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