Magnetic properties of the two-dimensionaln=0vector model
- 1 March 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 35 (7) , 3657-3660
- https://doi.org/10.1103/physrevb.35.3657
Abstract
We determine the magnetic properties of the two-dimensional n=0 vector model using transfer matrix calculations and finite-size scaling. In the high-temperature region, we obtain results similar to the mean-field picture. In the low-temperature region, we find a very different behavior with a susceptibility which is always negative and an infinite spontaneous magnetization. This is shown to be in agreementn with some works of Nienhuis. The physical interpretation is discussed.Keywords
This publication has 22 references indexed in Scilit:
- Ordering Field, Order Parameter, and Self-Avoiding WalksPhysical Review Letters, 1984
- Convexity violations for noninteger parameters in certain lattice modelsJournal of Statistical Physics, 1983
- Peculiarities of themodel forPhysical Review B, 1982
- Magnetic analog of self-avoiding random walks (polymer chains) on a latticePhysical Review A, 1981
- Thevector model and equilibrium polymerizationPhysical Review A, 1981
- Single-scaling-field approach for an isolated polymer chainJournal of Physics A: General Physics, 1981
- Polymer statistics, the-vector model, and thermodynamic stabilityPhysical Review A, 1981
- Self avoiding walk and supersymmetryJournal de Physique Lettres, 1980
- The Lagrangian theory of polymer solutions at intermediate concentrationsJournal de Physique, 1975
- Exponents for the excluded volume problem as derived by the Wilson methodPhysics Letters A, 1972