Prog. Theor. Phys. Vol. 58 No. 2 (1977) pp. 434-451

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Susceptibility and Specific Heat in the Glass-Like Phase

— Cumulant Expansion to the Random Bond Ising Model —

Shigetoshi Katsura

Department of Applied Physics, Faculty of Engineering, Tohoku University, Sendai 980

(Received September 9, 1976)

Abstract:

A random Ising magnet of a mixture of ferro- and anti-ferromagnetic interactions J_A and J_B, is treated by a method of modified cumulant expansion by regarding the effective field and its square as random variables. Thermodynamic properties of the glass-like phase (GLP), which is characterized by the non-zero value of the square of the magnetization at site i, are discussed. It is shown that the susceptibility and the specific heat have cusps at the transition temperature T_G between the glass-like phase and the paramagnetic phase. Relations among the spin glass state by Edwards and Anderson, the random ordered phase by Ueno and Oguchi, and the glass-like phase by Matsubara and Sakata are discussed.

URL : http://ptp.ipap.jp/link?PTP/58/434/
DOI : 10.1143/PTP.58.434

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Citing Article(s) :

Progress of Theoretical Physics Vol. 58 No. 1 (1977) pp. 362-364 :
Thermodynamic Limit for a Random Ising Model on the Cayley Tree

Tohru Morita
Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1598-1599 :
Spin Glasses of Random Dilute Magnetic Alloys

Takeshi Tatsumi
Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1098-1111 :
Order Parameter Expansion of Free Energy and Spin-Glasses. I

Shinji Nambu and Shigeo Naya