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Spin glass in the infinitely long-ranged bond-random anisotropic classical planar model-longitudinal and transverse spin glasses

โœ Scribed by Takayuki Shirakura; Shigetoski Katsura

Book ID
108002713
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
590 KB
Volume
117
Category
Article
ISSN
0378-4371

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๐Ÿ“œ SIMILAR VOLUMES

Spin glasses for the infinitely long ran
Spin glasses for the infinitely long ranged bond Ising model and for the short ranged binary bond Ising model without use of the replica method
โœ Shigetoshi Katsura; Sakari Inawashiro; Sumiyoshi Fujiki ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 632 KB

The long ranged Gaussian random Ising bond model and short ranged binary random Ising bond model are discussed by the method of the pair approximation of the cluster variation and by the method of the integral equation for the distribution function of the effective fields. For the long ranged model,

The boundary between the spin-glass and
The boundary between the spin-glass and ferromagnetic states of the bond-random Ising model in the square lattice at T = 0
โœ Shigetoshi Katsura; Toshiyuki Suenaga; Takahiro Imaizumi ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 516 KB

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.