NDLI: Aperiodic extended surface perturbations in the Ising model

Content Provider	Springer Nature Link
Author	Turban, L.
Copyright Year	1999
Abstract	We study the influence of an aperiodic extended surface perturbation on the surface critical behaviour of the two-dimensional Ising model in the extreme anisotropic limit. The perturbation decays as a power κ of the distance l from the free surface with an oscillating amplitude $A_l = ( - 1)^{f_l } A$ where f l = 0, 1 follows some aperiodic sequence with an asymptotic density equal to 1/2 so that the mean amplitude vanishes. The relevance of the perturbation is discussed by combining scaling arguments of Cordery and Burkhardt for the Hilhorst-van Leeuwen model and Luck for aperiodic perturbations. The relevance-irrelevance criterion involves the decay exponent κ, the wandering exponent ω which governs the fluctuation of the sequence and the bulk correlation length exponent ν. Analytical results are obtained for the surface magnetization which displays a rich variety of critical behaviours in the (κ, ω)-plane. The results are checked through a numerical finite-size-scaling study. They show that second-order effects must be taken into account in the discussion of the relevance-irrelevance criterion. The scaling behaviours of the first gap and the surface energy are also discussed.
Starting Page	273
Ending Page	285
Page Count	13
File Format	PDF
ISSN	14346028
Journal	The European Physical Journal B
Volume Number	11
Issue Number	2
e-ISSN	14346036
Language	English
Publisher	Società Italiana di Fisica
Publisher Date	2012-08-17
Publisher Place	Bologna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Condensed Matter Physics Physics Statistical Physics, Dynamical Systems and Complexity Fluid- and Aerodynamics Solid State Physics
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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