Correlation functions of the XXZ spin chain with the twisted boundary condition. (English) Zbl 1434.82025
Summary: 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.
©2020 American Institute of Physics
©2020 American Institute of Physics
MSC:
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
Keywords:
Bethe ansatz method; Yang-Baxter equation; Heisenberg model; quantum vacuum states; Hilbert space; statistical thermodynamics; electromagnetic interactionsReferences:
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