Scalar Products of the Asymmetric XXZ Chain

Abstract

The asymmetric XXZ chain is studied in the framework of the algebraic Bethe ansatz. The model is one of the Heisenberg XXZ spin chains with Dzyaloshinsky--Moriya interactions and is mapped onto the asymmetric six-vertex model. We calculate the scalar products that constitute various correlation functions of the model, by the Korepin's method. They are expressed in terms of determinants of the dual quantum fields.