Borocarbide compounds with the formula RN2B2C show interesting superconduct
ing and magnetic properties and the coexistence of the two phenomena. BCS t
heory is extended to systems with underlying commensurate magnetic order. I
n the case of helical phases the technique may be extended to any e-vector
and there exists a well-defined limit for incommensurate values. The way ma
gnetic order influences superconductivity depends crucially on the details
of both the magnetic structure and the electron bands, but some qualitative
criteria may be given. As an example, we give a brief analysis of the comp
ound HoNi2B2C. (C) 1999 Elsevier Science B.V. All rights reserved.