Topological Structure of the Order Parameter of Unconventional Superconductors Based on d- and f- Elements

The superconducting order parameter (SOP) of a triplet superconductor UTe2 was constructed using the topological space group approach, in which, in contrast to phenomenological and topological approaches, the single pair function and phase winding in condensate are different quantities. The connection between them is investigated for the D2h point group and the m & PRIME;m & PRIME;m magnetic group. It is shown how a non-unitary pair function of UTe2 can be constructed using one-dimensional real irreducible representations and Ginzburg-Landau phase winding. It is also shown that the total phase winding is non-zero in magnetic symmetry only. Experimental data on the superconducting order parameter of topological superconductors UPt3, Sr2RuO4, LaPt3P, and UTe2 are considered and peculiarities of their nodal structures are connected with the theoretical results of the topological space group approach.

Automated summary

The superconducting order parameter (SOP) of triplet superconductor UTe2 was constructed using the topological space group approach, which differs from phenomenological and topological approaches by treating single pair function and phase winding in condensate as separate quantities. By studying the connection for the D2h point group and m & PRIME; m & PRIME; m magnetic group, it was demonstrated how a non-unitary pair function of UTe2 can be constructed using one-dimensional real irreducible representations and Ginzburg-Landau phase winding. Experimental data on the superconducting order parameter of topological superconductors UPt3, Sr2RuO4, LaPt3P, and UTe2 were examined, and the peculiarities of their nodal structures were found to be connected to the theoretical results of the topological space group approach.