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We report an investigation of the superconducting order parameter of thenoncentrosymmetric compound PbTaSe$_2$, which is believed to have atopologically nontrivial band structure. Precise measurements of the Londonpenetration depth $\Delta\lambda(T)$ obtained using a tunnel diode oscillator(TDO) based method show an exponential temperature dependence at $T\ll T_c$,suggesting a nodeless superconducting gap structure. A single band s-wave modelwell describes the corresponding normalized superfluid density, with a gapmagnitude of $\Delta(0)=1.85T_c$. This is very close to the value of $1.76T_c$for weak-coupling BCS superconductors, indicating conventional fully-gappedsuperconductivity in PbTaSe$_2$.

Nodeless superconductivity in noncentrosymmetric PbTaSe$_2$ single crystals