Local critical behaviour at aperiodic surface extended perturbation in the Ising quantum chain

Abstract

The surface critical behaviour of the semi--infinite one--dimensional quantum Ising model in a transverse field is studied in the presence of an aperiodic surface extended modulation. The perturbed couplings are distributed according to a generalized Fredholm sequence, leading to a marginal perturbation and varying surface exponents. The surface magnetic exponents are calculated exactly whereas the expression of the surface energy density exponent is conjectured from a finite--size scaling study. The system displays surface order at the bulk critical point, above a critical value of the modulation amplitude. It may be considered as a discrete realization of the Hilhorst--van Leeuwen model.

13 pages, TeX file + 6 figures, epsf needed

References in corpus (5)

• Inhomogeneous Systems with Unusual Critical Behaviour
• 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 Quantum Chains

Cited by in corpus (7)

• Exact Renormalization-Group Study of Aperiodic Ising Quantum Chains and Directed Walks
• Log-periodic corrections to scaling: exact results for aperiodic Ising quantum chains
• Aperiodicity-Induced Second-Order Phase Transition in the 8-State Potts Model
• Surface Magnetisation and Surface Correlations in Aperiodic 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
• Radial Fredholm perturbation in the two-dimensional Ising model and gap-exponent relation