On the second-neighbor correlator in 1D XXX quantum antiferromagnetic spin chain

Details On the second-neighbor correlator in 1D XXX quantum antiferromagnetic spin chain On the second-neighbor correlator in 1D XXX quantum antiferromagnetic spin chain

1997-06-26

arxiv.org/abs/cond-mat/9706263v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, Latex

Scientific paper

10.1088/0305-4470/30/18/003

We have calculated the energy per site for the ground state of antiferromagnetic quantum spin chain with variable range exchange $h(j-k)\propto \sinh^2 a \sinh^{-2}a(j-k)$ in the framework of the asymptotic Bethe ansatz. By expanding it in powers of $e^{-2a}$, we have confirmed the value of the second-neighbor correlator for the model with nearest-neighbor exchange obtained earlier in the atomic limit of the Hubbard chain.

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