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This paper presents the results of specific-heat and magnetizationmeasurements, in particular their field-orientation dependence, on the firstdiscovered heavy-fermion superconductor CeCu$_2$Si$_2$ ($T_{\rm c} \sim 0.6$K). We discuss the superconducting gap structure and the origin of theanomalous pair-breaking phenomena, leading e.g., to the suppression of theupper critical field $H_{\rm c2}$, found in the high-field region. The datashow that the anomalous pair breaking becomes prominent below about 0.15 K inany field direction, but occurs closer to $H_{\rm c2}$ for $H \parallel c$. Thepresence of this anomaly is confirmed by the fact that the specific-heat andmagnetization data satisfy standard thermodynamic relations. Concerning the gapstructure, field-angle dependences of the low-temperature specific heat withinthe $ab$ and $ac$ planes do not show any evidence for gap nodes. Frommicroscopic calculations in the framework of a two-band full-gap model, thepower-law-like temperature dependences of $C$ and $1/T_1$, reminiscent of nodalsuperconductivity, have been reproduced reasonably. These facts further supportmultiband full-gap superconductivity in CeCu$_2$Si$_2$.

Thermodynamic study of gap structure and pair-breaking effect by magnetic field in the heavy-fermion superconductor CeCu2Si2