Asymptotic form of two-point correlation function of the XXZ spin chain

Details Asymptotic form of two-point correlation function of the XXZ spin chain Asymptotic form of two-point correlation function of the XXZ spin chain

2000-02-15

arxiv.org/abs/cond-mat/0002219v3

J.Phys. A33 (2000) 6497-6504

Physics

Condensed Matter

9 pages, LaTeX2e (+ amssymb, amsthm); Proof of Lemma 1 is revised

Scientific paper

10.1088/0305-4470/33/37/303

Correlation functions of the XXZ spin chain in the critical regime is studied at zero-temperature. They are exactly represented in the Fredholm determinant form and are related with an operator-valued Riemann-Hilbert problem. Analyzing this problem we prove that a two-point correlation function consisting of sufficiently separated spin operators is expressed by power-functions of the distance between those operators.

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