Symmetry and Topological Structure of the Order Parameter of Unconventional Superconductors

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 December 2023) | Viewed by 1968

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Kurnakov Institute of General and Inorganic Chemistry of RAS, 31 Leninsky, 119991 Moscow, Russia
Interests: ab initio and group theoretical methods for molecules and condensed matter; many-electron effects in photoelectron spectroscopy

Special Issue Information

Dear Colleagues,

Unconventional superconductors were discovered about 40 years ago [1], but today, new results of the structure of SOPs (superconducting order parameters) of well-known unconventional superconductors are obtained, and new materials with unusual symmetry properties are discovered. In particular, the initial triplet structure of SOP of Sr2RuO4 was reconsidered, the magnetic-field-boosted superconducting transition in UTe2 was demonstrated, and both even and odd SOPs in CeRh2A2 have been identified. Since there is no theory of unconventional superconductivity, experimental investigations of symmetry of SOP and theoretical approaches, such as phenomenological, topological, and group theoretical, are of great importance in understanding the nature of unconventional superconductivity.

This volume collects experimental and theoretical works on the symmetry of SOPs of unconventional superconductors.

[1] Stewart, G.R.; Fisk, Z.; Willis, J.O.; Smith, J.L. Possibility of Coexistence of Bulk Superconductivity and Spin Fluctuations in UPt₃. Phys. Rev. Lett. 1984, 52, 679-682; DOI:10.1103/PhysRevLett.52.679.

Dr. Victor Yarzhemsky
Guest Editor

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20 pages, 4184 KiB  
Article
Topological Structure of the Order Parameter of Unconventional Superconductors Based on d- and f- Elements
by Victor G. Yarzhemsky and Egor A. Teplyakov
Symmetry 2023, 15(2), 376; https://doi.org/10.3390/sym15020376 - 31 Jan 2023
Viewed by 1688
Abstract
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 [...] Read more.
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 mmm 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. Full article
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