Ideal glass transition in a simple two-dimensional lattice model.

We present a simple lattice model showing a glassy behavior. R matrix analysis predicts critical termination of the supercooled fluid branch at density rho(g)=0.1717. This prediction is confirmed by dynamical numerical simulations, showing power-law divergences of relaxation time tau1/2, as well as the four-susceptibility chi4 peak's location and height exactly at the predicted density. The power-law divergence of chi4 continues up to chi4 as high as 10(4). Finite-size scaling study reveals the divergence of the correlation length accompanying the transition.