Abstract
The argument of Landau and Lifshitz for the absence of long-range order in one-dimensional systems is used to show that order is absent if the interaction energy falls off faster than ${n}^{\ensuremath{-}2}$. When the interaction falls off as ${n}^{\ensuremath{-}2}$, the order cannot go continuously to zero.
Keywords
Order (exchange)Range (aeronautics)Ising modelPhysicsArgument (complex analysis)Energy (signal processing)Zero (linguistics)Statistical physicsMathematical physicsShort range orderTheoretical physicsCondensed matter physicsQuantum mechanicsMaterials sciencePhilosophy
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Publication Info
- Year
- 1969
- Type
- article
- Volume
- 187
- Issue
- 2
- Pages
- 732-733
- Citations
- 273
- Access
- Closed
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Cite This
D. J. Thouless
(1969).
Long-Range Order in One-Dimensional Ising Systems.
Physical Review
, 187
(2)
, 732-733.
https://doi.org/10.1103/physrev.187.732
Identifiers
- DOI
- 10.1103/physrev.187.732