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

2010/01/13 by F. Colomo, A. G. Pronko, P. Zinn-Justin · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.stat-mech #math.CO #math.MP

paper · pdf · doi:10.1088/1742-5468/2010/03/l03002

published as J. Stat. Mech.: Theor. Exp. (2010) L03002 · 12 pages, 1 figure

arxiv created 2010/01/13 · arxiv updated 2015/05/14

Abstract

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.

Cited by

• Two dimensional inhomogeneous classical systems at criticality
• The asymmetric five vertex model on a rectangle

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