Critical properties of two-dimensional models
- 1 January 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 23 (1), 429-432
- https://doi.org/10.1103/physrevb.23.429
Abstract
Critical properties of two-dimensional classical models and (1 + 1)-dimensional quantum models are obtained by solving a general dimerized spin chain. The staggered-electric exponent of the model is derived. The central role of umklapp scattering in controlling renormalization and determining Potts-model critical exponents is pointed out. The thermal exponent of the Potts model is evaluated, and the validity of den Nijs conjecture is established. Logarithmic singularities at the multicritical point are obtained.
Keywords
This publication has 21 references indexed in Scilit:
- A relation between the temperature exponents of the eight-vertex and q-state Potts modelJournal of Physics A: General Physics, 1979
- First- and Second-Order Phase Transitions in Potts Models: Renormalization-Group SolutionPhysical Review Letters, 1979
- Correlation functions on the critical lines of the Baxter and Ashkin-Teller modelsAnnals of Physics, 1979
- Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar modelPhysical Review B, 1977
- Exactly Solvable Model for the Roughening Transition of a Crystal SurfacePhysical Review Letters, 1977
- Calculation of critical exponents in two dimensions from quantum field theory in one dimensionPhysical Review B, 1975
- The critical properties of the two-dimensional xy modelJournal of Physics C: Solid State Physics, 1974
- Partition function of the Eight-Vertex lattice modelAnnals of Physics, 1972
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1971
- Eight-Vertex Model in Lattice StatisticsPhysical Review Letters, 1971