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

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dc.creatorTurban, L.
dc.creatorIgloi, F.
dc.date2001-10-19
dc.date2002-07-01
dc.date.accessioned2026-07-07T02:43:13Z
dc.date.available2026-07-07T02:43:13Z
dc.descriptionIn 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-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 2D 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.
dc.description10 pages, 7 figures, epsf, RevTeX. Revised version, to appear in Phys. Rev. B. More details given about the quantum Potts model. Minor mistakes corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/0110399
dc.identifierhttp://arxiv.org/abs/cond-mat/0110399
dc.identifierPhys. Rev. B 66 (2002) 014440
dc.identifierdoi:10.1103/PhysRevB.66.014440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18409
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleSurface-induced disorder and aperiodic perturbations at first-order transitions
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