Spin systems on hierarchical lattices. II. Some examples of soluble models
- 1 July 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 30 (1) , 244-249
- https://doi.org/10.1103/physrevb.30.244
Abstract
Several examples are given of soluble models of phase-transition phenomena utilizing classical discrete spin systems with nearest-neighbor interaction on hierarchical lattices. These include critical exponents which depend continuously on a parameter, the Potts model on a lattice with two different coupling constants, surface tension, and excess free energy of a line of defects. In each case we point out similarities and differences with a corresponding Bravais-lattice model.Keywords
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