### Abstract

In systems displaying a bulk first-order transition the order parameter may vanish continuously at a free surface, a phenomenon which is called surface-induced disorder. In the presence of surface-induced disorder the correlation lengths, parallel and perpendicular to the surface, diverge at the bulk transition point. In this way the surface induces an anisotropic power-law singular behavior for some bulk quantities. For example, in a finite system of transverse linear size L, the response functions diverge as (formula presented) where d is the dimension of the system and z is the anisotropy exponent. We present a general scaling picture for this anisotropic discontinuity fixed point. Our phenomenological results are confronted with analytical and numerical calculations on the two-dimensional q-state Potts model in the large-(formula presented) limit. The scaling results are demonstrated to apply also for the same model with a layered, Fibonacci-type modulation of the couplings for which the anisotropy exponent is a continuous function of the strength of the quasiperiodic perturbation.

Original language | English |
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Pages (from-to) | 1-10 |

Number of pages | 10 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 66 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 2002 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics