Exact Renormalization Group Exhibiting a Tricritical Fixed Point for a Spin-1 Ising Model in One Dimension
- 1 April 1974
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 32 (13) , 731-734
- https://doi.org/10.1103/physrevlett.32.731
Abstract
Exact renormalization-group recursion relations are studied for a spin-1 Ising model in one dimension. In this model, critical lines are marked by a double degeneracy of the largest eigenvalue of the transfer matrix, and the tricritical point by a triple degeneracy. This is directly related to the tricritical fixed point being more unstable than the critical fixed points.Keywords
This publication has 4 references indexed in Scilit:
- Logarithmic Corrections to the Molecular-Field Behavior of Critical and Tricritical SystemsPhysical Review B, 1973
- Tricritical Exponents and Scaling FieldsPhysical Review Letters, 1972
- Corrections to Scaling LawsPhysical Review B, 1972
- Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling PicturePhysical Review B, 1971