Susceptibility and Specific Heat in the Glass-Like Phase ---Cumulant Expansion to the Random Bond Ising Model---
A random Ising magnet of a mixture of ferro- and anti-ferromagnetic interactions JA and JB, 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 TG 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.