Surface magnetization of aperiodic Ising systems: a comparative study of the bond and site problems

We investigate the influence of aperiodic perturbations on the critical behaviour at a second order phase transition. The bond and site problems are compared for layered systems and aperiodic sequences generated through substitution. In the bond problem, the interactions between the layers are distr...

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Published in:Journal of physics. A, Mathematical and general Mathematical and general, 1994-10, Vol.27 (19), p.6349-6366
Main Authors: Turban, L, Berche, P -E, Berche, B
Format: Article
Language:English
Subjects:
Condensed Matter
Exact sciences and technology
Lattice theory and statistics (ising, potts, etc.)
Physics
Statistical Mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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description We investigate the influence of aperiodic perturbations on the critical behaviour at a second order phase transition. The bond and site problems are compared for layered systems and aperiodic sequences generated through substitution. In the bond problem, the interactions between the layers are distributed according to an aperiodic sequence whereas in the site problem, the layers themselves follow the sequence. A relevance-irrelevance criterion introduced by Luck for the bond problem is extended to discuss the site problem. It involves a wandering exponent for pairs, which can be larger than the one considered before in the bond problem. The surface magnetization of the layered two-dimensional Ising model is obtained, in the extreme anisotropic limit, for the period-doubling and Thue-Morse sequences.
doi_str_mv 10.1088/0305-4470/27/19/009
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subjects Condensed Matter
Exact sciences and technology
Lattice theory and statistics (ising, potts, etc.)
Physics
Statistical Mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
title Surface magnetization of aperiodic Ising systems: a comparative study of the bond and site problems
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