The boundary between the spin-glass and ferromagnetic states of the bond-random Ising model in the square lattice at T = 0

✍ Scribed by Shigetoshi Katsura; Toshiyuki Suenaga; Takahiro Imaizumi

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 516 KB
• Volume: 116
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(82)90165-0

✦ Synopsis

The bond-random (-tJ) Ising model in the square lattice is considered in the square cluster approximation. The boundary between the ferromagnetic and spin-glass states at T = 0 is obtained as the transition point from the asymmetric distribution of the effective fields to the symmetric distribution. The concentration of this transition, PFG is obtained by solving the integral equation for the distribution function of the effective fields. *The square approximation which is equivalent to the Kikuchi's second approximation is called as "the square approximation" or as "the square approximation in the full version". The square approximation which is equivalent to the exact solution of the square cactus tree lattice is called as "the square cactus approximation" or as "the square approximation in the simple version"3,4.7).