### Abstract

For an Ising ferromagnet with nearest-neighbour interactions of strength K and surface magnetic field h, the surface free energy in the presence of a positively (or negatively) magnetized zero-field bulk phase is shown to be analytic in h for {divides}Re h{divides}<K-a/ß, where a=2.96 ... and ß is the inverse temperature. This puts the lower bound K-a/ß on the values of h at which wetting and layering transitions can take place. © 1988 Springer-Verlag.

Original language | English |
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Pages (from-to) | 691-699 |

Number of pages | 9 |

Journal | Communications in Mathematical Physics |

Volume | 115 |

Issue number | 4 |

DOIs | |

Publication status | Published - Dec 1988 |

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## Cite this

Pfister, C. E., & Penrose, O. (1988). Analyticity properties of the surface free energy of the Ising model.

*Communications in Mathematical Physics*,*115*(4), 691-699. https://doi.org/10.1007/BF01224133