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Spin-glass in the site diluted ising ferromagnet: Octahedron approximation in the FCC lattice

✍ Scribed by Izuru Nagahara; Shigeru Hosaka; Shigetoshi Katsura

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
290 KB
Volume
27
Category
Article
ISSN
0010-4655

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✦ Synopsis

Eu~Sr 1 _~Sis regarded as a random site Heisenberg model on the fcc lattice where the first neighbour Eu-Eu exchange energy is ferromagnetic, the second neighbour Eu-Eu exchange energy is antiferromagnetic, and all other exchange energies (Eu-Sr, Sr-Sr) are nonmagnetic. The material is considered as a random site Ising model on an octahedron cactus tree lattice, z,Γ΅ctahedrons of which are connected at each vertex. The partial trace of the density matrices of the octahedron is calculated by using the formula manipulating program REDUCE. The phase boundaries between the paramagnetic and ferromagnetic phases, and between the paramagnetic and spin-glass phases are obtained. They represent qualitatively well the experimentally observed phase boundaries by Maletta and Convert.

πŸ“œ SIMILAR VOLUMES

Cube cluster approximation for the spin
Cube cluster approximation for the spin glass in the simple cubic lattice
✍ Sumiyoshi Fujiki; Yoshihiko Abe; Shigetoshi Katsura πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 377 KB

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, antiferromagnet