Time-reversal symmetry violation and the structure of Superconducting Order Parameter of PrOs$_{4}$Sb$_{12}$

TL;DR

This paper investigates the superconducting order parameter of PrOs$_{4}$Sb$_{14}$, revealing that its nodal structure is explained by time-reversal symmetry violation using symmetry group analysis.

Contribution

It constructs antisymmetrised two-electron functions for the symmetry groups of PrOs$_{4}$Sb$_{14}$ and explains its nodal structure through symmetry considerations and time-reversal symmetry violation.

Findings

Nodal structure explained by symmetry analysis.

Time-reversal symmetry violation accounts for experimental observations.

Constructed functions align with experimental nodal patterns.

Abstract

The antisymmetrised two-electron functions are constructed for the point group T$_{h}$, i.e. the symmetry group of unconventional superconductor PrOs$% _{4}$Sb$_{14}$., and its subgroup D$_{2h}$.The nodal structure of these function depending on the wavevector group is investigated. Theoretical nodal structure of these functions made possible to explain the experimental nodal structure PrOs$_{4}$Sb$_{14}$. as a result of time-reversal symmetry violation.