Superconductivity is one of the most fascinating phenomenon in solid state
physics. In a conventional superconductor Cooper-pairing is mediated by
phonons and strongly suppressed by the application of a magnetic field.
However, in heavy fermion systems superconductivity develops in close proximity
to magnetism or even coexists with magnetism. This opens the intriguing
question, which underlying mechanisms mediate superconductivity and/or lead to
magnetic order in this class of materials.

Superconductivity in heavy fermion compounds was first discovered 25 years ago
in CeCu₂Si₂ by Steglich et al.. Until recently, superconductivity in heavy
fermion systems appeared only at low temperatures bellow 1 K. CeCoIn₅ a
member of the CeMIn₅ (M=Co,Rh,Ir) family, enters the superconducting state
already at T_c=2.3 K, with a maximum T_c=2.6 K at an applied pressure of 1.6
GPa. CeCoIn₅ is discussed as a promising candidate of a material where a
Fulde-Ferrel-Larkin-Ovchinnikov state is realized in the superconducting phase
at high magnetic fields. Another recently discovered system is CePt₃Si.
CePt₃Si is the first heavy fermion superconductor with a crystal structure
without centre of inversion. At ambient pressure CePt₃Si orders
antiferromagnetically at T_N=2.2 K and superconductivity develops in the
magnetic phase bellow T_c=0.75 K.

We present studies of transport and thermodynamic properties of CeMIn₅
(M=Co,Rh,Ir) and CePt₃Si under hydrostatic pressure and in magnetic fields.

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1. C-axis Magnetotransport in Heavy-Fermion Superconductor CeCoIn₅