Anisotropic Scaling in Layered Aperiodic Ising Systems

Abstract

The influence of a layered aperiodic modulation of the couplings on the critical behaviour of the two-dimensional Ising model is studied in the case of marginal perturbations. The aperiodicity is found to induce anisotropic scaling. The anisotropy exponent z, given by the sum of the surface magnetization scaling dimensions, depends continuously on the modulation amplitude. Thus these systems are scale invariant but not conformally invariant at the critical point.

7 pages, 2 eps-figures, Plain TeX and epsf, minor corrections

References in corpus (4)

• Surface Magnetization and Critical Behavior of Aperiodic Ising Quantum Chains
• Relevant Aperiodic Modulation in the 2d Ising Model
• Non-periodic Ising quantum chains and conformal invariance
• Surface Magnetization of Aperiodic Ising Systems: a Comparative Study of the Bond and Site Problems

Cited by in corpus (11)

• Aperiodic Ising Quantum Chains
• Exact Renormalization-Group Study of Aperiodic Ising Quantum Chains and Directed Walks
• Surface Magnetisation and Surface Correlations in Aperiodic Ising Models
• 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
• Mean-field calculation of critical parameters and log-periodic characterization of an aperiodic-modulated model
• Radial Fredholm perturbation in the two-dimensional Ising model and gap-exponent relation
• On the Critical Temperature of Non-Periodic Ising Models on Hexagonal Lattices