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

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.