Soluble Model of Interacting Classical Quadrupoles in One Dimension
- 1 March 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 5 (5), 1961-1965
- https://doi.org/10.1103/physrevb.5.1961
Abstract
We solve exactly for the thermodynamic properties of a linear chain of classical spins with near-neighbor bilinear and biquadratic isotropic exchange interactions. At zero temperature the system can be either ordered or disordered, depending on the relative magnitudes and signs of the bilinear and biquadratic exchange. In addition, it is found that at finite temperatures "disorder points" occur, at which the correlation functions change in character from monotonic decreasing functions of distance to oscillatory functions. The disorder points found here are of interest because they occur even though the interactions are restricted to nearest neighbors.Keywords
This publication has 11 references indexed in Scilit:
- Exact Solution for a Closed Chain of Classical Spins with Arbitrary, Isotropic Nearest-Neighbor ExchangePhysical Review Letters, 1971
- Eigenvalue Degeneracy as a Possible ``Mathematical Mechanism'' for Phase TransitionsJournal of Applied Physics, 1970
- Decay of Correlations in Linear SystemsThe Journal of Chemical Physics, 1969
- Biquadratic Exchange and Quadrupolar OrderingJournal of Applied Physics, 1969
- Orbital Effects on Exchange InteractionsJournal of Applied Physics, 1968
- Classical Heisenberg ModelPhysical Review B, 1967
- Magnetism in One-Dimensional Systems—The Heisenberg Model for Infinite SpinAmerican Journal of Physics, 1964
- On the theory of cooperative phenomena in crystalsAdvances in Physics, 1960
- Successive Orientational Transitions in CrystalsThe Journal of Chemical Physics, 1954
- Antiferromagnetism. The Triangular Ising NetPhysical Review B, 1950