Surface critical exponents at a uniaxial Lifshitz point
Abstract
Using Monte Carlo techniques, the surface critical behavior of three-dimensional semi-infinite axial next-nearest-neighbor Ising (ANNNI) models, with different surface orientations with respect to the axis of competing interactions, is investigated. Special attention is 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 dependence of the critical exponents on the surface orientation is revealed.
- Publication:
-
Physical Review B
- Pub Date:
- May 2002
- DOI:
- 10.1103/PhysRevB.65.184406
- arXiv:
- arXiv:cond-mat/0111233
- Bibcode:
- 2002PhRvB..65r4406P
- Keywords:
-
- 75.70.Rf;
- 68.35.Rh;
- 64.70.Rh;
- Surface magnetism;
- Phase transitions and critical phenomena;
- Commensurate-incommensurate transitions;
- Condensed Matter
- E-Print:
- 10 pages, 7 figures included