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Field behavior of an Ising model with aperiodic interactions

Angsula Ghosh·T. A. S. Haddad·S. R. Salinas
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Abstract

We derive exact renormalization-group recursion relations for an Ising model, in the presence of external fields, with ferromagnetic nearest-neighbor interactions on Migdal-Kadanoff hierarchical lattices. We consider layered distributions of aperiodic exchange interactions, according to a class of two-letter substitutional sequences. For irrelevant geometric fluctuations, the recursion relations in parameter space display a nontrivial uniform fixed point of hyperbolic character that governs the universal critical behavior. For relevant fluctuations, in agreement with previous work, this fixed point becomes fully unstable, and there appears a two-cycle attractor associated with a new critical universality class.

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Angsula Ghosh, T. A. S. Haddad, S. R. Salinas. 2000-05-02. Field behavior of an Ising model with aperiodic interactions. https://doi.org/10.1142/s0217979200001461

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