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Critical interactions for the triangular spin- s Ising model by a spin-restructuring transformation

Critical interactions for the triangular spin- s Ising model by a spin-restructuring transformation A transformation is constructed which maps the spin- s Ising model onto a spin-½ Ising model with furtherneighbor and many-site interactions. Renormalization-group methods may thus be applied directly to the spin- s problem by prefacing the usual sequence of position-space rescaling transformations with this spin-restructuring transformation. We demonstrate the method by calculating the critical interactions (i.e., the inverse critical temperatures) of the spin- s Ising model on the triangular lattice, using the recent results of Niemeijer and van Leeuwen for the critical subspace of the corresponding spin-½ Ising model. Our evaluations agree very well with recent series data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Critical interactions for the triangular spin- s Ising model by a spin-restructuring transformation

Berker, A. Nihat
Physical Review B , Volume 12 (7) – Oct 1, 1975
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1975 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.12.2752
Publisher site
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Abstract

A transformation is constructed which maps the spin- s Ising model onto a spin-½ Ising model with furtherneighbor and many-site interactions. Renormalization-group methods may thus be applied directly to the spin- s problem by prefacing the usual sequence of position-space rescaling transformations with this spin-restructuring transformation. We demonstrate the method by calculating the critical interactions (i.e., the inverse critical temperatures) of the spin- s Ising model on the triangular lattice, using the recent results of Niemeijer and van Leeuwen for the critical subspace of the corresponding spin-½ Ising model. Our evaluations agree very well with recent series data.

Journal

Physical Review B – American Physical Society (APS)

Published: Oct 1, 1975

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