We report on a comparative study of the electrical resistivity, rho, and sp
ecific heat, C, on the presumably magnetically ordered phase A in near stoi
chiometric CeCu2Si2 at very low-T, in magnetic fields and as a function of
pressure. Our data indicate the formation of a spin-density-wave (SDW) phas
e below T-A. Phase A depends sensitively on the strength g of hybridisation
between 4f- and conduction electrons and g can be varied by the applicatio
n of pressure or suitable changes in composition. Our results suggest a con
tinuous evolution T-A --> 0 for g --> g(c). Hydrostatic-pressure experiment
s on a near stoichiometric polycrystal prove that g(c) marks a quantum crit
ical point of antiferromagnetic type consistent with the SDW-nature of phas
e A. (C) 1999 Elsevier Science B.V. All rights reserved.