The recently reported coexistence of an oscillatory magnetic order wit
h wave vector Q = 0.241(-1) and superconductivity in TmNi2B2C is analy
zed theoretically. It is shown that the oscillatory magnetic order and
superconductivity interact predominantly via the exchange interaction
between localized moments (LMs) and conduction electrons, while the e
lectromagnetic interaction between them is negligible. In the coexiste
nce phase of the clean TmNi2B2C the quasiparticle spectrum should have
a line of zeros at the Fermi surface, giving rise to the power-law be
havior of thermodynamic and transport properties. Two scenarios of the
origin of the oscillatory magnetic order in TmNi2B2C are analyzed: (a
) due to superconductivity and (b) independently of superconductivity.
Experiments in a magnetic field are proposed in order to choose betwe
en them, (C) 1997 Elsevier Science B.V.