Low Temperature Phase of Asymmetric Spin Glass Model in Two Dimensions

We investigate low temperature properties of a random Ising model with $+J$ and $-aJ (a \neq 1)$ bonds in two dimensions using a cluster heat bath method. It is found that the Binder parameters $g_L$ for different sizes of the lattice come together at almost the same temperature implying the occurrence of the spin glass(SG) phase transition. From results of finite size scaling analyses, we suggest that the SG phase really occurs at low temperatures which is characterized by a power law decay of spin correlations.