We report both experimental and theoretical investigations of the physical properties of Ba$_mathrm{2}$Mn$_mathrm{2}$Sb$_mathrm{2}$O single crystals. This material exhibits a hexagonal structure with lattice constants: a = 4.7029(15) AA{} and c = 19.
9401(27) AA{}, as obtained from powder X-ray diffraction measurements, and in agreement with structural optimization through density functional theory (DFT) calculations. The magnetic susceptibility and specific heat show anomalies at T$_mathrm{N}$ = 60 K, consistent with antiferromagnetic ordering. However, the magnitude of T$_mathrm{N}$ is significantly smaller than the Curie-Weiss temperature ($mid$$mathrm{Theta_{CW}}$$mid$ $approx$ 560 K), suggesting a magnetic system of reduced dimensionality. The temperature dependence of both the in-plane and out-of-plane resistivity changes from an activated at $T$ $>$ T$_mathrm{x}$ $sim$ 200 K to a logarithmic at $T$ $<$ T$_mathrm{x}$. Correspondingly, the magnetic susceptibility displays a bump at T$_mathrm{x}$. DFT calculations at the DFT + U level support the experimental observation of an antiferromagnetic ground state.
We present low-temperature specific heat of the electron-doped Ba(Fe$_{0.9}$Co$_{0.1}$)$_{2}$As$_{2}$, which does not show any indication of an upturn down to 400 mK, the lowest measuring temperature. The lack of a Schottky-like feature at low temper
atures or in magnetic fields up to 9 Tesla enables us to identify enhanced low-temperature quasiparticle excitations and to study anisotropy in the linear term of the specific heat. Our results can not be explained by a single or multiple isotropic superconducting gap, but are consistent with multi-gap superconductivity with nodes on at least one Fermi surface sheet.
