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First-principles calculations of the electronic structure of members of the$R$NiC$_2$ series are presented, and their Fermi surfaces investigated fornesting propensities which might be linked to the charge-density wavesexhibited by certain members of the series ($R$ = Sm, Gd and Nd). Calculationsof the generalized susceptibility, $\chi_{0}({\bf q},\omega)$, show strongpeaks at the same ${\bf q}$-vector in both the real and imaginary parts forthese compounds. Moreover, this peak occurs at a wavevector which is very closeto that experimentally observed in SmNiC$_2$. In contrast, for LaNiC$_2$ (whichis a superconductor below 2.7K) as well as for ferromagnetic SmNiC$_2$, thereis no such sharp peak. This could explain the absence of a charge-density wavetransition in the former, and the destruction of the charge-density wave thathas been observed to accompany the onset of ferromagnetic order in the latter.

The electronic structure of {\em R}NiC$_2$ intermetallic compounds