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 2019-01-28Version 1

The scalar products, form factors and correlation functions of the XXZ spin chain with 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.