Interface in presence of a wall. Results from field theory

Abstract

We consider three-dimensional statistical systems at phase coexistence in the half-volume with boundary conditions leading to the presence of an interface. Working slightly below the critical temperature, where universal properties emerge, we show how the problem can be studied analytically from first principles, starting from the degrees of freedom (particle modes) of the bulk field theory. After deriving the passage probability of the interface and the order parameter profile in the regime in which the interface is not bound to the wall, we show how the theory accounts at the fundamental level also for the binding transition and its key parameter.

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Cited by in corpus (6)

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• Persistent oscillations after quantum quenches in $d$ dimensions
• Correlations and structure of interfaces in the Ising model. Theory and numerics
• Four-point interfacial correlation functions in two dimensions. Exact results from field theory and numerical simulations
• Quantum quenches from an excited state
• Mass of quantum topological excitations and order parameter finite size dependence