Abstract
The authors study a quenched random Ising magnet with nearest-neighbour exchange interactions jij=+or-J on a square lattice at T=0. A new-type effective field approach beyond mean field-approximation is used in order to obtain an estimate for the critical antiferro-magnetic bond concentration pc at which the ferromagnetic phase breaks down. The result is in quite good agreement with Bethe, Monte Carlo and replica method calculations. The Edwards-Anderson order parameter q within the authors formulation is also obtained. They found that both the magnetisation and q vanish at the same value pc=1/6.
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