Surface magnetisation profile in the critical region by the epsilon -expansion
- 20 February 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (5), 925-935
- https://doi.org/10.1088/0022-3719/13/5/023
Abstract
The Wilson perturbation theory technique is used to investigate the spontaneous magnetisation profile in the critical region for the ordinary transition of a scalar (n=1) semi-infinite model. The behaviour in the vicinity of the surface is explicitly determined and the surface exponent beta 1 identified to be 1- epsilon /6 to first order in epsilon =4-d, in agreement with the scaling prediction of Bray and Moore (1977).Keywords
This publication has 17 references indexed in Scilit:
- Magnetism of surfaces by spin polarized photoemissionZeitschrift für Physik B Condensed Matter, 1979
- Interfacial Profile in Three DimensionsPhysical Review Letters, 1978
- expansion for the interfacial profilePhysical Review B, 1978
- Renormalization-group approach to surface critical behavior in the Ising modelPhysical Review B, 1978
- Critical behaviour of semi-infinite systemsJournal of Physics A: General Physics, 1977
- Monte Carlo and series expansion investigations of magnetic surfacesIEEE Transactions on Magnetics, 1976
- Critical phenomena in semi-infinite systems. II. Mean-field theoryPhysical Review B, 1975
- Expansion in Semi-infinite Ising SystemsPhysical Review Letters, 1973
- Critical Phenomena in Films and SurfacesJournal of Vacuum Science and Technology, 1973
- Phase Transitions and Static Spin Correlations in Ising Models with Free SurfacesPhysical Review B, 1972