Abstract
We point out that the existence of a phase transition-as indicated by extrapolation from high-temperature expansions-is as well-founded for two-dimensional lattices with nearest-neighbor ferromagnetic Heisenberg interactions as for three-dimensional lattices, and that the "well-known result" that there exists no phase transition in two dimensions is not a valid conclusion from the standard spin-wave argument.
Keywords
ExtrapolationPhase transitionHeisenberg modelFerromagnetismPhysicsCondensed matter physicsTransition pointSpin (aerodynamics)Argument (complex analysis)Phase (matter)k-nearest neighbors algorithmPoint (geometry)Statistical physicsTheoretical physicsMathematical physicsQuantum mechanicsMathematicsMathematical analysisComputer scienceThermodynamics
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Publication Info
- Year
- 1966
- Type
- article
- Volume
- 17
- Issue
- 17
- Pages
- 913-915
- Citations
- 438
- Access
- Closed
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Cite This
H. Eugene Stanley,
T. A. Kaplan
(1966).
Possibility of a Phase Transition for the Two-Dimensional Heisenberg Model.
Physical Review Letters
, 17
(17)
, 913-915.
https://doi.org/10.1103/physrevlett.17.913
Identifiers
- DOI
- 10.1103/physrevlett.17.913