Mean-field renormalization group: Unified approach to bulk and surface critical behavior
- 1 January 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 35 (1) , 305-310
- https://doi.org/10.1103/physrevb.35.305
Abstract
The previously introduced method of mean-field renormalization is reexamined in a finite-size-scaling perspective. The method is shown to provide simultaneously estimates for bulk and surface critical exponents. These are obtained within a scheme which guarantees convergence to exact results assuming the validity of standard finite-size scaling. The unifying scheme leads to rather accurate computations as illustrated in Ising and Potts models in two (and three) dimensions.This publication has 28 references indexed in Scilit:
- Mean-field renormalisation group study of the anisotropic Ising modelJournal of Physics C: Solid State Physics, 1986
- Renormalization group treatment of a spin-one Ising model with biquadratic exchange interactionPhysics Letters A, 1985
- Mean field renormalization group analysis of the Blume-Capel modelPhysica A: Statistical Mechanics and its Applications, 1985
- Mean field-finite size scaling transformations for the Z4spin modelJournal of Physics A: General Physics, 1984
- Mean field renormalisation group calculations for directed percolation on the square latticeJournal of Physics A: General Physics, 1984
- Mean field renormalisation group for the spin-1/2anisotropic Heisenberg modelJournal of Physics A: General Physics, 1984
- Mean-field renormalisation group transformations for the triangular Ising antiferromagnetJournal of Physics A: General Physics, 1984
- Mean-field renormalisation group transformations for geometric phase transitionsJournal of Physics A: General Physics, 1983
- Renormalisation group recursions by mean-field approximationsJournal of Physics A: General Physics, 1982
- The renormalization group: Critical phenomena and the Kondo problemReviews of Modern Physics, 1975