Surface critical exponents at a uniaxial Lifshitz point

Abstract

Using Monte Carlo techniques, the surface critical behaviour of three-dimensional semi-infinite ANNNI models with different surface orientations with respect to the axis of competing interactions is investigated. Special attention is thereby paid to the surface criticality at the bulk uniaxial Lifshitz point encountered in this model. The presented Monte Carlo results show that the mean-field description of semi-infinite ANNNI models is qualitatively correct. Lifshitz point surface critical exponents at the ordinary transition are found to depend on the surface orientation. At the special transition point, however, no clear dependency of the critical exponents on the surface orientation is revealed. The values of the surface critical exponents presented in this study are the first estimates available beyond mean-field theory.

10 pages, 7 figures included

References in corpus (5)

• The "devil's staircase" type phase transition in NaV2O5 under high pressure
• Two-loop renormalization-group analysis of critical behavior at m-axial Lifshitz points
• Anisotropic scaling and generalized conformal invariance at Lifshitz points
• Anisotropic Lifshitz Point at $O({\epsilon }_L^2)$
• Lifshitz-point critical behaviour to $\mathbf{O}({\mathbf{\epsilon }}^2)$

Cited by in corpus (7)

• Critical phenomena at perfect and non-perfect surfaces
• A new picture of the Lifshitz critical behavior
• Fluctuation-induced forces in strongly anisotropic critical systems
• Bulk and Boundary Critical Behavior at Lifshitz Points
• Boundary critical behavior at m-axial Lifshitz points for a boundary plane parallel to the modulation axes
• Boundary critical behaviour at $m$-axial Lifshitz points: the special transition for the case of a surface plane parallel to the modulation axes
• Boundary critical behaviour at m-axial Lifshitz points of semi-infinite systems with a surface plane perpendicular to a modulation axis