Cross-over effects in anisotropic spin systems
- 5 February 1976
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 9 (3) , 497-510
- https://doi.org/10.1088/0022-3719/9/3/017
Abstract
The thermodynamic properties of an anisotropic multicomponent spin system are investigated near the bicritical point in the disordered phase using a renormalization group approach. Explicit forms for the cross-over scaling functions for the specific heat and the susceptibilities are found to lowest orders in epsilon =4-d in terms of z=gt- phi where g is the non-ordering field and t=(T-Tb)/Tb with Tb the bicritical temperature. The scaling functions have the expected properties in the limits z to O and z to zt/dt, the value on the critical lines, and interpolate smoothly between these limits.Keywords
This publication has 27 references indexed in Scilit:
- Coupled order parameters, symmetry-breaking irrelevant scaling fields, and tetracritical pointsPhysical Review B, 1975
- The renormalization group in the theory of critical behaviorReviews of Modern Physics, 1974
- Polycritical Points and Floplike Displacive Transitions in PerovskitesPhysical Review Letters, 1974
- Spin Flop, Supersolids, and Bicritical and Tetracritical PointsPhysical Review Letters, 1974
- Critical Behavior of Magnets with Dipolar Interactions. I. Renormalization Group near Four DimensionsPhysical Review B, 1973
- Dipolar Interactions at Ferromagnetic Critical PointsPhysical Review Letters, 1973
- Feynman-Graph Expansion for the Equation of State near the Critical PointPhysical Review B, 1973
- Critical Exponents for Long-Range InteractionsPhysical Review Letters, 1972
- Scaling Theory for Finite-Size Effects in the Critical RegionPhysical Review Letters, 1972
- Quantum Corrections to Critical-Point BehaviorPhysical Review Letters, 1966