Critical properties of random Potts models
- 1 April 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 23 (7), 3421-3434
- https://doi.org/10.1103/physrevb.23.3421
Abstract
The critical properties of Potts models with random bonds are considered in two dimensions. A position-space renormalization-group procedure, based on the Migdal-Kadanoff method, is developed. While all previous position-space calculations satisfied the Harris criterion and the resulting scaling relation only approximately, we found conditions under which these relations are exactly satisfied, and constructed our renormalization-group procedure accordingly. Numerical results for phase diagrams and thermodynamic functions for various random-bond Potts models are presented. In addition, some exact results obtained using a duality transformation, as well as an heuristic derivation of scaling properties that correspond to the percolation problem are given.Keywords
This publication has 43 references indexed in Scilit:
- Phase transitions in two dimensionsPhysics Reports, 1980
- Possible Ising Transition in aMonolayer Adsorbed on Kr-Plated GraphitePhysical Review Letters, 1980
- The dilute random-bond Potts modelJournal of Physics C: Solid State Physics, 1979
- Classification of continuous order-disorder transitions in adsorbed monolayers. IIPhysical Review B, 1979
- Classification of continuous order-disorder transitions in adsorbed monolayersPhysical Review B, 1978
- Phase transitions in two-dimensional systemsJournal of Applied Physics, 1978
- Thermodynamic behavior of quenched random magnets from a position?space renormalization groupJournal of Applied Physics, 1978
- Chapter 5 Two-Dimensional PhysicsProgress in Low Temperature Physics, 1978
- Thermally driven phase transitions near the percolation threshold in two dimensionsJournal of Physics C: Solid State Physics, 1976
- Crossover scaling, correlation function and connectivity in dilute low temperature ferromagnetsZeitschrift für Physik B Condensed Matter, 1975