Low-temperature phase of a stacked triangular Ising antiferromagnet
We have investigated a model consisting of planes of Ising spins withantiferromagnetic nearest-neighbor interactions on a triangular lattice connected by nearest-neighbor ferromagnetic bonds in the third direction. It is shown that Landau theory, mean-field theory, and conventional low-temperature expansions are not reliable for this model. We have also studied a class of one-dimensional frustrated Ising models which have low-temperature expansions with irrational coefficients, indicating that the usual method of counting excitations about ground-state configurations cannot be used to construct their low-temperature series. The results from the one-dimensional models are used to obtain bounds on the free energy and information about the magnetization of the three-dimensional model at low temperatures.
- Research Organization:
- Brookhaven National Laboratory, Upton, New York 11973
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 5558540
- Journal Information:
- Phys. Rev. B: Condens. Matter; (United States), Vol. 32:3
- Country of Publication:
- United States
- Language:
- English
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SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETIC MATERIALS
FREE ENERGY
PHASE STUDIES
ISING MODEL
LIMITING VALUES
LOW TEMPERATURE
MAGNETIZATION
PHASE DIAGRAMS
THREE-DIMENSIONAL CALCULATIONS
CRYSTAL MODELS
DIAGRAMS
ENERGY
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
656000* - Condensed Matter Physics