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Exact ground states of three-dimensional random field Ising magnets (RFIM)with Gaussian distribution of the disorder are calculated usinggraph-theoretical algorithms. Systems for different strengths h of the randomfields and sizes up to N=96^3 are considered. By numerically differentiatingthe bond-energy with respect to h a specific-heat like quantity is obtained,which does not appear to diverge at the critical point but rather exhibits acusp. We also consider the effect of a small uniform magnetic field, whichallows us to calculate the T=0 susceptibility. From a finite-size scalinganalysis, we obtain the critical exponents \nu=1.32(7), \alpha=-0.63(7),\eta=0.50(3) and find that the critical strength of the random field ish_c=2.28(1). We discuss the significance of the result that \alpha appears tobe strongly negative.Comment: 9 pages, 9 figures, 1 table, revtex revised version, slightly  extende

Specific-heat exponent of random-field systems via ground-state calculations