Relevant Aperiodic Modulation in the 2d Ising Model

Abstract

We consider the surface critical behaviour of a semi-infinite two-dimensional layered Ising model, where the couplings perpendicular to the surface follow the aperiodic Rudin-Shapiro sequence. The model has unusual critical properties: depending on the strength of the modulation, at the bulk critical point the surface magnetization is either discontinuous or vanishes with an essential singularity. The critical surface magnetization as well as the form of the essential singularity are calculated exactly.

5 pages, LaTeX + EuroPhyS.sty + EuroMacr.tex, minor corrections

References in corpus (3)

• Inhomogeneous Systems with Unusual Critical Behaviour
• Surface Magnetization and Critical Behavior of Aperiodic Ising Quantum Chains
• Surface Magnetization of Aperiodic Ising Quantum Chains

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