Geodesic
Spin glass with~$S=1$
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 2, pp. 273-277

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A spin glass that differs from the Sherrington–Kirkpatrick model only in the spin's taking three values: $+1$, $0$, $-1$, is investigated. The free energy of the system is obtained in the replica-symmetric approximation, in which the equations for the order parameters are also solved; the entropy at zero temperature is negative. At zero temperature, all spins take values $+1$, $-1$. This makes it possible to calculate the number of metastable states by the method of Edwards and Tanaka. The number is equal to the well-known result for the Sherrington–Kirkpatrick model. 
@article{TMF_1992_90_2_a10,
     author = {E. A. Luchinskaya and E. E. Tareeva},
     title = {Spin glass with~$S=1$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {273--277},
     publisher = {mathdoc},
     volume = {90},
     number = {2},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_90_2_a10/}
}
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E. A. Luchinskaya; E. E. Tareeva. Spin glass with~$S=1$. Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 2, pp. 273-277. http://geodesic.mathdoc.fr/item/TMF_1992_90_2_a10/