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arXiv:1901.09604 · Journal of Mathematical Physics

Correlation functions of the XXZ spin chain with the twisted boundary condition

Yi Qiao, Zhirong Xin, Xiaotian Xu, Kun Hao, Tao Yang, Junpeng Cao, Wen‐Li Yang

Published Mar 1, 2020• 1 citation
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Abstract

The scalar products, form factors, and correlation functions of the XXZ spin chain with a twisted (or antiperiodic) boundary condition are obtained based on the inhomogeneous T–Q relation and the Bethe states constructed via the off-diagonal Bethe ansatz. It is shown that the scalar product of two off-shell Bethe states, the form factors, and the two-point correlation functions can be expressed as the summation of certain determinants. The corresponding homogeneous limits are studied. The results are also checked by the numerical calculations.

DOI
10.1063/1.5113651

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