Abstract
We consider a new model Hamiltonian ${\mathcal{H}}^{(\ensuremath{\nu})}$ for interacting $\ensuremath{\nu}$-dimensional classical "spins"; ${\mathcal{H}}^{(\ensuremath{\nu})}$ reduces to the Ising, planar, and Heisenberg models, respectively, for $\ensuremath{\nu}=1, 2, \mathrm{and} 3$. Certain critical properties of ${\mathcal{H}}^{(\ensuremath{\nu})}$ are found to be monotonic functions of $\ensuremath{\nu}$.
Keywords
SpinsPhysicsCurse of dimensionalityHamiltonian (control theory)Ising modelMonotonic functionHeisenberg modelMathematical physicsCondensed matter physicsQuantum mechanicsFerromagnetismMathematics
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Publication Info
- Year
- 1968
- Type
- article
- Volume
- 20
- Issue
- 12
- Pages
- 589-592
- Citations
- 265
- Access
- Closed
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Cite This
H. Eugene Stanley
(1968).
Dependence of Critical Properties on Dimensionality of Spins.
Physical Review Letters
, 20
(12)
, 589-592.
https://doi.org/10.1103/physrevlett.20.589
Identifiers
- DOI
- 10.1103/physrevlett.20.589