Magnetization profile near a wall in the planar ising ferromagnet

D. B. Abraham; David A. Huse

doi:10.1103/PhysRevB.38.7169

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Magnetization profile near a wall in the planar ising ferromagnet

D. B. Abraham

David A. Huse

Theoretical Chemistry Department, University of Oxford, Oxford OX1 3TG, England

AT&T Bell Laboratories, Murray Hill, New Jersey 07974

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Phys. Rev. B 38, 7169(R) – Published 1 October, 1988

DOI: https://doi.org/10.1103/PhysRevB.38.7169

Abstract

The local magnetization in a semi-infinite planar Ising ferromagnet with an edge field $H_{1}$ is examined as a function of distance from the edge. The asymptotic form of this magnetization profile for distances large compared to the bulk correlation length has a nontrivial dependence on the edge field. The exact scaling function for this dependence in the limit of small edge field can be derived from a simple droplet argument.

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Physical Review B

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Magnetization profile near a wall in the planar ising ferromagnet

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