Abstract
We study the magnetization m L (h, β) for the Ising model on a large but finite lattice square under the minus boundary conditions. Using known large-deviation results evaluating the balance between the competing effects of the minus boundary conditions and the external magnetic field h, we describe the details of its dependence on h as exemplified by the finite-size rounding of the infinite-volume magnetization discontinuity and its shift with respect to the infinite-volume transition point.
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Kotecký, R., Medved', I. Finite-Size Scaling for the 2D Ising Model with Minus Boundary Conditions. Journal of Statistical Physics 104, 905–943 (2001). https://doi.org/10.1023/A:1010495725329
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DOI: https://doi.org/10.1023/A:1010495725329