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The superconductivity in the rare-earth transition metal ternary borides$R$RuB$_2$ (where $R$ = Lu and Y) has been investigated using muon-spinrotation and relaxation. Measurements made in zero-field suggest thattime-reversal symmetry is preserved upon entering the superconducting state inboth materials; a small difference in depolarization is observed above andbelow the superconducting transition in both compounds, however this has beenattributed to quasistatic magnetic fluctuations. Transverse-field measurementsof the flux-line lattice indicate that the superconductivity in both materialsis fully gapped, with a conventional s-wave pairing symmetry and BCS-likemagnitudes for the zero-temperature gap energies. The electronic properties ofthe charge carriers in the superconducting state have been calculated, witheffective masses $m^*/ m_\mathrm{e} = $ $9.8\pm0.1$ and $15.0\pm0.1$ in the Luand Y compounds, respectively, with superconducting carrier densities$n_\mathrm{s} = $ ($2.73\pm0.04$) $\times 10^{28}$ m$^{-3}$ and ($2.17\pm0.02$)$\times 10^{28}$ m$^{-3}$. The materials have been classified according to theUemura scheme for superconductivity, with values for$T_\mathrm{c}/T_\mathrm{F}$ of $1/(414\pm6)$ and $1/(304\pm3)$, implying thatthe superconductivity may not be entirely conventional in nature.

physical review. b./physical review. b

Probing the superconducting ground state of the rare-earth ternary  boride superconductors $R$RuB$_2$ ($R$ = Lu,Y) using muon-spin rotation and  relaxation