Influence of boundary conditions on bulk properties of six-vertex model

Abstract

We study the influence of boundary conditions on the entropy of the six-vertex model. We consider the case of fixed boundary conditions in order to argue that the entropy of the six-vertex model vary continuously from its value for ferroelectric to periodic boundary conditions. This is done by merging the ferroelectric boundary and the Néel boundary.

13 pages

References in corpus (5)

• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Square ice in graphene nanocapillaries
• Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases
• Thermodynamics of the six-vertex model in an L-shaped domain
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Cited by in corpus (10)

• The density profile of the six vertex model with domain wall boundary conditions
• Phase separation in the six-vertex model with a variety of boundary conditions
• A numerical study of the F-model with domain-wall boundaries
• Integral formula for elliptic SOS models with domain walls and a reflecting end
• Finite-size scaling at infinite-order phase transitions
• Finite size scaling in the dimer and six-vertex model
• Boundary correlations for the six-vertex model with reflecting end boundary condition
• Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
• Breakdown of the thermodynamic limit in quantum spin and dimer models
• Exactly Solved Models and Beyond: a special issue in honour of R J Baxter's 75th birthday