Surface Magnetization of Aperiodic Ising Systems: a Comparative Study of the Bond and Site Problems
arXiv:cond-mat/9408077 · doi:10.1088/0305-4470/27/19/009
Abstract
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.
19 pages, Plain TeX, IOP macros + epsf, 6 postscript figures, minor corrections
References in corpus (4)
Cited by in corpus (12)
- Aperiodic Ising Quantum Chains
- Exact Renormalization-Group Study of Aperiodic Ising Quantum Chains and Directed Walks
- Magnetization in quasiperiodic magnetic multilayers with biquadratic exchange coupling
- Universal Critical Behavior of Aperiodic Ferromagnetic Models
- Surface Magnetisation and Surface Correlations in Aperiodic Ising Models
- Anisotropic Scaling in Layered Aperiodic Ising Systems
- Critical Behavior of Hierarchical Ising Models
- Aperiodic spin chain in the mean-field approximation
- Crossover between aperiodic and homogeneous semi-infinite critical behaviors in multilayered two-dimensional Ising models
- Aperiodic Ising model on the Bethe lattice: Exact results
- Interface Fluctuations on a Hierarchical Lattice
- Radial Fredholm perturbation in the two-dimensional Ising model and gap-exponent relation