Six - Vertex Model with Domain wall boundary conditions. Variable inhomogeneities

Abstract

We consider the six-vertex model with domain wall boundary conditions. We choose the inhomogeneities as solutions of the Bethe Ansatz equations. The Bethe Ansatz equations have many solutions, so we can consider a wide variety of inhomogeneities. For certain choices of the inhomogeneities we study arrow correlation functions on the horizontal line going through the centre. In particular we obtain a multiple integral representation for the emptiness formation probability that generalizes the known formulæfor XXZ antiferromagnets.

12 pages, 1 figure

References in corpus (4)

• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• On the quantum inverse scattering problem
• Thermodynamic limit of the Six-Vertex Model with Domain Wall Boundary Conditions
• Solution of the quantum inverse problem

Cited by in corpus (3)

• The role of orthogonal polynomials in the six-vertex model and its combinatorial applications
• Emptiness Formation Probability in 1D Bose Liquids
• Emptiness Formation in Polytropic Quantum Liquids