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In systems displaying a bulk first-order transition the order parameter mayvanish continuously at a free surface, a phenomenon which is calledsurface-induced disorder. In the presence of surface-induced disorder thecorrelation lengths, parallel and perpendicular to the surface, diverge at thebulk transition point. In this way the surface induces an anisotropic power-lawsingular behavior for some bulk quantities. For example in a finite system oftransverse linear size L, the response functions diverge as L^{(d-1)z+1}, whered is the dimension of the system and z is the anisotropy exponent. We present ageneral scaling picture for this anisotropic discontinuity fixed point. Ourphenomenological results are confronted with analytical and numericalcalculations on the 2D q-state Potts model in the large-q limit. The scalingresults are demonstrated to apply also for the same model with a layered,Fibonacci-type modulation of the couplings for which the anisotropy exponent isa continuous function of the strength of the quasiperiodic perturbation.Comment: 10 pages, 7 figures, epsf, RevTeX. Revised version, to appear in  Phys. Rev. B. More details given about the quantum Potts model. Minor  mistakes correcte

Surface-induced disorder and aperiodic perturbations at first-order transitions