Abstract
The critical behavior of the layer magnetizations and local susceptibilities of theD-vector lattice models with Kac-type ferromagnetic interactions for a semi-infinite system is studied. These local quantities behave less singularly than the bulk ones, showing that this is not peculiar to the two-dimensional Ising model. Moreover, the limiting form (at the critical point) of the magnetization profile can be obtained, which, when properly scaled, satisfies the minimum condition in the Landau theory for a semi-infinite continuous system. Landau-type critical behavior is thus recovered.
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Angelescu, N., Bundaru, M., Costache, G. et al. The critical behavior of Kac-type models for semi-infinite systems. J Stat Phys 24, 529–552 (1981). https://doi.org/10.1007/BF01012819
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DOI: https://doi.org/10.1007/BF01012819