Published April 1977
| Published + Erratum
Journal Article
Open
Lattices of effectively nonintegral dimensionality
- Creators
- Dhar, Deepak
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.
Additional Information
© 1977 American Institute of Physics. Received 2 September 1976. I am deeply indebted to my advisor, Professor Jon Mathews, for his encouragement, discussions, and critical comments throughout the course of this investigation. The financial support of the H. Dudley Wright Foundation is gratefully acknowledged.Attached Files
Published - DHAjmp77a.pdf
Erratum - DHAjmp77b.pdf
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DHAjmp77a.pdf
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Additional details
- Eprint ID
- 32953
- Resolver ID
- CaltechAUTHORS:20120806-140745851
- H. Dudley Wright Foundation
- Created
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2012-08-06Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field