1208.4015 (A. A. Ovchinnikov)

On the asymptotic expansion of the correlators in the XX spin chain    [PDF]

A. A. Ovchinnikov

Using the expressions for the formfactors of local operators for the XX - quantum spin chain as a Cauchy determinants we obtain the asymptotic expansion of the correlators in the XX spin chain. We obtain the particle-hole formfactors corresponding to the leading and the higher order terms in the asymptotics of the correlator in agreement with the predictions of the Luttinger liquid theory. We also obtain the same results for the expansion of the correlator with the help of the generalized Fisher-Hartwig conjecture from the theory of the Toeplitz matrices.

View original: http://arxiv.org/abs/1208.4015