Dhar, Deepak (1977) Lattices of effectively nonintegral dimensionality Journal of Mathematical Physics, 18 (4). pp. 577-585. ISSN 0022-2488
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Official URL: http://jmp.aip.org/resource/1/jmapaq/v18/i4/p577_s...
Related URL: http://dx.doi.org/10.1063/1.523316
Abstract
We construct a class of lattice systems that have effectively nonintegral dimensionality. A reasonable definition of effective dimensionality applicable to lattice systems is proposed and the effective dimensionalities of these lattices are determined. The renormalization procedure is used to determine the critical behavior of the classical XY model and the Fortuin-Kasteleyn cluster model on the truncated tetrahedron lattice which is shown to have the effective dimensionality 2 log3 /log5. It is found that no phase transition occurs at any finite temperature.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| ID Code: | 9292 |
| Deposited On: | 02 Nov 2010 12:33 |
| Last Modified: | 02 Nov 2010 12:33 |
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