Nodeless Superconductivity in the Noncentrosymmetric Superconductor $Mg_{10}Ir_{19}B_{16}$

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We measured the resistivity, diamagnetization and low temperature specific heat of the newly discovered noncentrosymmetric superconductor $Mg_{10}Ir_{19}B_{16}$. It is found that the superconducting gap has an s-wave symmetry with a value of about $Δ_0 \approx$ 0.6 meV, and the ratio $Δ_0/k_BT_c\approx1.86$ indicates a weak coupling for the superconductivity. The correlations among the normal state Sommerfeld constant $γ_n$, the slope $-dμ_0H_{c2}(T)/dT$ near Tc and the condensation energy Ec are all consistent with the weak coupling picture. The separated phonon contribution from the specific heat shows that the conduction electrons of the $Ir$ atoms interact most strongly with the vibrations of themselves, instead of with that of the light element boron.
5 pages, 5 figures; added references, corrected typos

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