Hole doping study in antiferromagnetic BaFe$_{2}$Se$_{3}$ and BaMn$_{2}$As$_{2}$

Motivated by the close relationship between antiferromagnetism and superconductivity, we studied hole doping in two antiferromagnetic compounds BaFe$_{2}$Se$_{3}$ and BaMn$_{2}$As$_{2}$. BaFe$_{2}$Se$_{3}$ has a block antiferromagnetic transition around 250 K with a magnetic moment 2.8 $\mu_{\mathrm{B}}$/Fe and BaMn$_{2}$As$_{2}$ exhibits a G-type antiferromagnetism with a large N\'eel temperature $T_{\mathrm{N}}=$ 625 K and a large order moment 3.9 $\mu _{\mathrm{B}}$/Mn. We did the explicit investigations on the Ba$_{0.6}$K$_{0.4}$Fe$_{2}$Se$_{3}$ compound which had anisotropic Heisenberg-like spin glass and variable range hopping conductivity [J. K. Bao et al., J. Phys.: Condens. Matter 26, 026002 (2014)]. As for the semiconducting BaMn$_{2}$As$_{2}$, potassium doping introduces holes into this system and makes it a metal. Moreover, weak ferromagnetic transition appears for the heavily potassium doping [J. K. Bao et al., Phys. Rev. B 85, 144523 (2012)]. However, the origin of weak ferromagnetism in the heavily doped Ba$_{\mathrm{1-x}}$K$_{\mathrm{x}}$Mn$_{2}$As$_{2}$ is still an open question.