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

Yasuhiro Fujii·Miki Wadati
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Abstract

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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Yasuhiro Fujii, Miki Wadati. 2000-05-03. Asymptotic form of two-point correlation function of the XXZ spin chain. https://doi.org/10.1088/0305-4470%2F33%2F37%2F303

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