title: Filling transition: exact results for Ising corners.
abstract: We obtain the exact solution for a two-dimensional rectangular Ising ferromagnet forming a corner with a surface field applied to the spins on edges. We establish the existence of the filling transition and give the condition for the filling temperature. We discuss the basic properties of the transition.
authors.affiliation: Theoretical Physics, University of Oxford, Oxford OX1 3NP, United Kingdom.
authors.forename: D B
authors.initials: DB
authors.lastname: Abraham
authors.forename: A
authors.initials: A
authors.lastname: Maciołek