Unconventional superconductivity and magnetism in $rm CePt_3Si_{1-x}Ge_x$

$rm CePt_3Si$ is a novel ternary compound exhibiting antiferromagnetic order at $T_N approx 2.2$ K and superconductivity (SC) at $T_c approx 0.75$ K. Large values of $H_{c2} approx -8.5$ T/K and $H_{c2}(0) approx 5$ T indicate Cooper pairs formed out of heavy quasiparticles. The mass enhancement originates from Kondo interaction with a characteristic temperature $T_K approx 8$ K. NMR and $mu$SR measurements evidence coexistence of SC and long range magnetic order on a microscopic scale. Moreover, $rm CePt_3Si$ is the first heavy fermion SC without an inversion symmetry. This gives rise to a novel type of the NMR relaxation rate $1/T_1$ which is very unique and never reported before for other heavy fermion superconductors. Studies of Si/Ge substitution allow us to establish a phase diagram.