Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition

Abstract

We consider the six-vertex model with reflecting end boundary condition. We study the asymptotic behavior of the boundary correlations. This asymptotic behavior is used as an input into the Tangent Method in order to derive analytically the arctic curve at the free fermion point. The obtained curve is a semicircle, which is in agreement with previous Monte Carlo simulations.

30 pages, 8 figures

References in corpus (7)

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

• Arctic curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex models
• Arctic curves of the $6$V model with partial DWBC and double Aztec rectangles