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

• Main Authors: Colomo, F., Pronko, A. G., Zinn-Justin, Paul
• Other Authors: Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
• Format: Article in Journal/Newspaper
• Language: English
• Published: HAL CCSD 2010
• Subjects: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]; [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]; [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]; [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]; Arctic
• Online Access: https://hal.archives-ouvertes.fr/hal-00526718

12 pages, 1 figure International audience 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.