Space-group approach to the nodal structure of superconducting order parameter in ferromagnetic and antiferromagnetic materials

The nodal structure of the superconducting order parameter (SOP) in ferroma gnetic and antiferromagnetic crystals is investigated making use of the spa ce-group approach to the wave function of a Cooper pair. It is shown that t he antiferromagnetic transition results in line nodes of the odd ("triplet" ) SOP, but the structure of even ("singlet") SOP remains unchanged. The fer romagnetic transition results in the odd phase whose nodal structure differ s from the nodal structure of odd antiferromagnetic phase. The results are in agreement with experimental data on the superconducting state symmetry f or heavy-fermion superconductors and Sr2RuO4 The nodal structure of ferroma gnetic and antiferromagnetic phases for group D-6h(4) is presented. It is s hown that the nodal structure of the SOP of E-2u symmetry in the antiferrom agnetic case agrees with all experimental data for heavy-fermion supercondu ctor UPt3. (C) 2000 John Wiley & Sons, Inc.