Duality and Potts critical amplitudes on a class of hierarchical lattices
- 1 July 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 30 (1) , 413-414
- https://doi.org/10.1103/physrevb.30.413
Abstract
By using the duality transformation on a class of hierarchical lattices, I show that the Potts critical amplitudes above and below the critical temperature are equal. Logarithmic modifications of the power-law singularity occur when the exponent is an even integer, but do not occur when equals an odd integer.
Keywords
This publication has 8 references indexed in Scilit:
- Critical amplitude of the Potts model: Zeroes and divergencesPhysical Review B, 1984
- Fractal structure of zeros in hierarchical modelsJournal of Statistical Physics, 1983
- Duality on planar fractal and hierarchical latticesJournal of Physics A: General Physics, 1983
- Renormalisation groups with periodic and aperiodic orbitsJournal of Physics A: General Physics, 1983
- Spin systems on hierarchical lattices. Introduction and thermodynamic limitPhysical Review B, 1982
- The Potts modelReviews of Modern Physics, 1982
- Renormalisation-group calculations of finite systems: order parameter and specific heat for epitaxial orderingJournal of Physics C: Solid State Physics, 1979
- Notes on Migdal's recursion formulasAnnals of Physics, 1976