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Space‐group approach to the nodal structure of superconducting order parameter in ferromagnetic and antiferromagnetic materials
Author(s) -
Yarzhemsky V. G.
Publication year - 2000
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/1097-461x(2000)80:2<133::aid-qua9>3.0.co;2-b
Subject(s) - antiferromagnetism , superconductivity , condensed matter physics , ferromagnetism , physics , symmetry (geometry) , cooper pair , space (punctuation) , order (exchange) , singlet state , chemistry , quantum mechanics , mathematics , geometry , finance , linguistics , philosophy , economics , excited state
Abstract The nodal structure of the superconducting order parameter (SOP) in ferromagnetic and antiferromagnetic crystals is investigated making use of the space‐group approach to the wave function of a Cooper pair. It is shown that the antiferromagnetic transition results in line nodes of the odd (“triplet”) SOP, but the structure of even (“singlet”) SOP remains unchanged. The ferromagnetic transition results in the odd phase whose nodal structure differs from the nodal structure of odd antiferromagnetic phase. The results are in agreement with experimental data on the superconducting state symmetry for heavy‐fermion superconductors and Sr 2 RuO 4 . The nodal structure of ferromagnetic and antiferromagnetic phases for group \documentclass{article}\pagestyle{empty}\begin{document}$D_{6h}^{4}$\end{document} is presented. It is shown that the nodal structure of the SOP of E 2 u symmetry in the antiferromagnetic case agrees with all experimental data for heavy‐fermion superconductor UPt 3 . © 2000 John Wiley & Sons, Inc. Int J Quant Chem 80: 133–140, 2000