Boundary correlations for the six-vertex model with reflecting end boundary condition

Abstract

We consider the six-vertex model with reflecting end boundary condition. We compute analytically boundary correlation functions, such as the boundary polarization and the emptiness formation probability. In order to do that, we use the Sklyanin's reflection algebra to derive recursion relations for the partition function of the model as well as for the boundary correlations in terms of the partition function. Thanks to the Tsuchiya determinant formula, these recursion relations allow the boundary correlations to be also efficiently written in determinantal form.

32 pages, 4 figures, accepted for publication in JSTAT

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• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
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Cited by in corpus (2)

• Arctic curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex models
• Construction of determinants for the six-vertex model with domain wall boundary conditions