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Some Cerium compounds exhibit hysteresis cycles with sharp macroscopic jumpsin the magnetization at very low temperatures. This effect is attributed to theformation of clusters in which the anisotropy competes with the appliedmagnetic field. Here, we present a simple model where a lattice offerromagnetically coupled spins is separated in clusters of random sizes andwith random anisotropy. Within this model, we obtain hysteresis cyclespresenting jumps that behave in a similar way that the experimental ones, andthat disappear when increasing the temperature. The results are in goodagreement with the hysteresis cycles measured at very low temperatures inCeNi$_{1-x}$Cu$_{x}$ and the comparison with these experimental results allowsto discriminate the relative importance of the mechanisms driving the thermalevolution of the cycles.

A cluster model with random anisotropy for hysteresis jumps in CeNi$_{1-x}$Cu$_{x}$ alloys