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We study the correlated-disorder driven zero-temperature phase transition ofthe Random-Field Ising Magnet using exact numerical ground-state calculationsfor cubic lattices. We consider correlations of the quenched disorder decayingproportional to r^a, where r is the distance between two lattice sites and a<0.To obtain exact ground states, we use a well established mapping to thegraph-theoretical maximum-flow problem, which allows us to study large systemsizes of more than two million spins. We use finite-size scaling analyses forvalues a={-1,-2,-3,-7} to calculate the critical point and the criticalexponents characterizing the behavior of the specific heat, magnetization,susceptibility and of the correlation length close to the critical point. Wefind basically the same critical behavior as for the RFIM with delta-correlateddisorder, except for the finite-size exponent of the susceptibility and for thecase a=-1, where the results are also compatible with a phase transition atinfinitesimal disorder strength.  A summary of this work can be found at the papercore database atwww.papercore.org.

Critical behavior of the Random-Field Ising Magnet with long range correlated disorder