We investigate the behavior of the correlation function and the susceptibility of the random-field spherical model at the critical point. In particular we calculate the critical exponents η and η- describing the divergences of the susceptibility and its disconnected part, respectively. In the case of short-range interactions we obtain η=η-=0. For power-law interactions Uij~rij-σ we find η=1/2η-=D+2-σ (for D<σ
T. Vojta and M. Schreiber, "Critical Correlations and Susceptibilities in the Random-field Spherical Model," Physical Review B, vol. 50, no. 2, pp. 1272-1274, American Physical Society (APS), Jul 1994.
The definitive version is available at http://dx.doi.org/10.1103/PhysRevB.50.1272
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