Abstract
A planar Ising ferromagnet is investigated with a magnetic field acting on one surface. The Yang-Lee zeros associated with this field are located exactly on the imaginary axis and their limiting distribution is given. Above the critical temperature, this distribution has a gap, near which the pair correlation for spins in the surface exhibits cirtical behaviour. The zeros of certain antiferromagnets are located, in particular those for an antiferromagnetic ring coupled ferromagnetically to a planar Ising ferromagnet.
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Communicated by M. E. Fisher
On leave from: University of Oxford. Current Address: Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712, USA
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Abraham, D.B., De Coninck, J. Yang-Lee zeros of a planar Ising model with a boundary magnetic field. Commun.Math. Phys. 108, 13–23 (1987). https://doi.org/10.1007/BF01210700
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DOI: https://doi.org/10.1007/BF01210700