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Anisotropic scaling of the two-dimensional Ising model II: surfaces and boundary fields

by Hendrik Hobrecht, Alfred Hucht

Submission summary

As Contributors: Fred Hucht
Arxiv Link:
Date submitted: 2019-06-25
Submitted by: Hucht, Fred
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Statistical and Soft Matter Physics


Based on the results published recently [arXiv:1803.10155], the influence of surfaces and boundary fields are calculated for the anisotropic square lattice Ising model on finite lattices as well as in the finite-size scaling limit. Starting with the open cylinder, we apply first one and then two boundary fields along the perpendicular direction which can be homogeneous or staggered, representing open, symmetry-breaking, and the so called Brascamp-Kunz boundary conditions. Furthermore we examine the emergence of the surface tension due to one antiperiodic boundary in the system in the presence of symmetry breaking boundary fields, again for finite systems as well as in the scaling limit.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1805.00369v2 on 25 June 2019

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