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We use Monte Carlo (MC) methods to simulate a two-dimensional (2D)bond-diluted Ising model on the square lattice which has frustration betweenthe nearest-neighbor interaction J1 and the next-nearest-neighbor interactionJ2. In this paper, we use the parallel tempering algorithm to study thethermodynamics for different diluted ratio x and give the phase diagram. Thepresence of both frustration and disorder results in a spin-glass phase, whichexists between the stripe antiferromagnetic phase and the Neel phase. Wepresent the ground-state energy of T -> 0 and the size-dependence ofEdwards-Anderson (EA) order parameter for the spin glass phase. By scaling themean energy and the EA order parameter from the simulated annealing with theKibble-Zurek (KZ) mechanism, we obtain two different dynamic exponents z_E andz_q for the spin glass phase. Experimentally, this model has close implicationwith the FeAs plane of the iron-based superconductor BaFe2(As(1-x)P(x))2, wherea spin-glass like phase was found.

Spin Glass in the Bond-Diluted J1-J2 Ising Model on the Square Lattice