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Cube cluster approximation for the spin glass in the simple cubic lattice

✍ Scribed by Sumiyoshi Fujiki; Yoshihiko Abe; Shigetoshi Katsura

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
377 KB
Volume
25
Category
Article
ISSN
0010-4655

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✦ Synopsis

The spin glass in the random-bond Ising model on a simple cubic lattice is considered. A simple method to calculate the partial trace of the density matrices of a fairly large cluster by use of the REDUCE system is presented. The phase diagram showing the paramagnetic, ferromagnetic, antiferromagnetic and spin glass states is obtained for the Β±Jmodel on the simple cubic lattice by the cube cluster approximation. The spin glass transition temperature is obtained with the inclusion of enough frustration of the cube clusters, and krg/Jrro.9850 for p (the concentration of the +J bond) = 1/2.

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