Novel weak-ferromagnetic metallic state in heavily doped Ba$_{1-x}$K$_{x}$Mn$_{2}$As$_{2}$

Heavily doped Ba$_{1-x}$K$_{x}$Mn$_{2}$As$_{2}$ ($x$=0.19 and 0.26) single crystals were successfully grown, and investigated by the measurements of resistivity and anisotropic magnetic susceptibility. In contrast to the antiferromagnetic insulating ground state of the undoped BaMn$_{2}$As$_{2}$, the K-doped crystals show metallic conduction with weak ferromagnetism below $sim$50 K and Curie-Weiss-like in-plane magnetic susceptibility above $sim$50 K. Under high pressures up to 6 GPa, the low-temperature metallicity changes into a state characterized by a Kondo-like resistivity minimum without any signature of superconductivity above 2.5 K. Electronic structure calculations for $x$=0.25 using $2times2times1$ supercell reproduce the hole-doped metallic state. The density of states at Fermi energy have significant As 4$p$ components, suggesting that the 4$p$ holes are mainly responsible for the metallic conduction. Our results suggest that the interplay between itinerant 4$p$ holes and local 3$d$ moments is mostly responsible for the novel metallic state.