# Grupo de Física Estadística

## Equipo 106, Instituto Jean Lamour

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### Artículos regulares in revistas

 Relevant aperiodic modulation in the 2d Ising model Igloi F., Turban L. Europhysics Letters 27 (1994) 91 ArXiv : cond-mat/9406035 [PDF] HAL : hal-00422039 Enlace externo 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.