2001/11/13 by Michel Pleimling · 9 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Critical phenomena #Critical point (mathematics) #Criticality #Geometry #Mathematics #Monte Carlo method #Orientation (vector space) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Statistical physics #Surface (topology) #Surface and Thin Film Phenomena #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevb.65.184406
published in Physical review. B, Condensed matter 65(18) (American Physical Society) · 10 pages, 7 figures included
arxiv created 2001/11/13 · openalex publication_date 2002/04/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using Monte Carlo techniques, the surface critical behavior of three-dimensional semi-infinite axial next-nearest-neighbor Ising (ANNNI) models, with different surface orientations with respect to the axis of competing interactions, is investigated. Special attention is paid to the surface criticality at the bulk uniaxial Lifshitz point encountered in this model. The presented Monte Carlo results show that the mean-field description of semi-infinite ANNNI models is qualitatively correct. Lifshitz point surface critical exponents at the ordinary transition are found to depend on the surface orientation. At the special transition point, however, no clear dependence of the critical exponents on the surface orientation is revealed.