2001/10/31 by L Turban, L. Turban, Ferenc Iglói +1
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Quasicrystal Structures and Properties #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.66.014440
published as Phys. Rev. B 66 (2002) 014440 · 10 pages, 7 figures, epsf, RevTeX. Revised version, to appear in Phys. Rev. B. More details given about the quantum Potts model. Minor mistakes corrected
arxiv created 2002/07/01 · openalex publication_date 2002/07/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 L^(d\ensuremath-1)z+1, 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-q 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.