Boundary field induced first order transition in the 2D Ising model: Exact study

Abstract

We present in this paper an exact study concerning a first order transition induced by an inhomogeneous boundary magnetic field in the 2D Ising model. From a previous analysis of the interfacial free energy in the discrete case (J. Phys. A, 2849, 2005), we identify, using an asymptotic expansion in the thermodynamic limit, the transition line that separates the regime where the interface is localised near the boundary from the regime where it is propagating inside the bulk. In particular, the critical line has a strong dependence on the aspect ratio of the lattice.

Submitted to J.Phys.A

References in corpus (4)

• SLE for theoretical physicists
• On Ising Correlation Functions with Boundary Magnetic Field
• Exact Partition Function and Boundary State of 2-D Massive Ising Field Theory with Boundary Magnetic Field
• 1D action and partition function for the 2D Ising model with boundary magnetic field

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• Ising model in a boundary magnetic field with random discontinuities