The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regime

F. Colomo , A. G. Pronko , Paul Zinn-Justin (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

An explicit expression for the spatial curve separating the region of ferroelectric order (`frozen' zone) from the disordered one (`temperate' zone) in the six-vertex model with domain wall boundary conditions in its anti-ferroelectric regime is obtained.

Domaines: Combinatoire [math.CO]; Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

F. Colomo, A. G. Pronko, Paul Zinn-Justin. The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regime. Journal of Statistical Mechanics: Theory and Experiment, 2010, pp.L03002. ⟨hal-00526718⟩