We study isothermal magnetization processes in the Cu-Al-Mn intermetallic a
lloy. Hysteresis is observed at temperatures below the spin-freezing of the
system. The characteristics of the hysteresis cycles as a function of temp
erature and Mn content (magnetic element) are obtained. At low temperature
(less than or similar to 5 K) a change from smooth to sharp cycles is obser
ved with increasing Mn content, which is related to the decrease of configu
rational disorder. We also study a zero-temperature site-diluted Ising mode
l, suitable for the description of this Cu-Al-Mn system. The model reproduc
es the main features of the hysteresis loops observed experimentally. It ex
hibits a disorder-induced critical line separating a disordered phase from
an incipient ferromagnetic ground state. The comparison between the model a
nd the experiments allows us to conclude that the observed change in the ex
perimental hysteresis loops can be understood within the framework of the t
heory of disorder-induced criticality in fluctuationless first-order phase
transitions. [S0163-1829(99)13821-9].