The existence of long range magnetic order and superconductivity in single crystals of CeCu2(Si0.9Ge0.1)2 is investigated by measuring the electrical resistivity under pressure. At ambient pressure, antiferromagnetic order coexists with superconductivity. Upon applying pressure, the magnetic order vanishes continuously. Interestingly, we observe two superconducting domains in the T--P phase diagram, where superconductivity is lost inbetween. In the first domain (0 \leq p < 3 GPa), Tc initially increases with pressure, reaching a maximum value of Tc{max}1 \approx 0.39 K at p \approx pc1. Above pc1, Tc decreases with increasing pressure. In the second domain, the maximum Tc (Tc{max}2\approx 0.96 K at pc2\approx 5.4 GPa) is much higher than that in the first domain. Non-Fermi-liquid behavior with resistivity exponent 1\leq n \leq 1.5 (\rho =\rho 0+ATn) is observed at pressures pc1\leq p\leq pc2.
PACS numbers: 74.20.Mn, 74.62.Fj, 74.70.Tx
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