Extensive study of half-Heusler ${\text{AuMnSn}}_{1-x}$${\mathrm{Z}}_x$ (Z=As, Sb, Bi and $0⩽x⩽1$) was performed using current ab initio density functional theory approach. We predict a robust ferromagnetic half-metallicity which is retained up to a pressure of 8.0 GPa for doping concentration x of $\sim$0.25. Ferromagnetic exchange coupling parameters and high Curie temperature within the mean field approximation were obtained for all the half-metals. We also predict transfer from ferromagnetic metal to ferromagnetic half-metal in half-Heusler AuMnSn at pressure of 4 GPa-12 GPa. All the ferromagnetic half-metals studied are stable up to a pressure of 15.0 GPa. We observed transition from Ruderman-Kittel-Kasuya-Yosida-type ferromagnetic exchange to superexchange antiferromagnetic interaction between the Mn atoms at As, Sb and Bi doping concentrations x of $\sim$0.81, 0.84 and 0.89 respectively. Our results are in fair agreement with available experimental results and suggests a new route to producing half metals from AuMnSn.

Half-Heusler的广泛研究 ${\text{金锰锡}}_{\mathrm{1个}--X}$${\mathrm{ž}}_X$ （Z = As，Sb，Bi和 $0⩽X⩽\mathrm{1个}$）是使用目前的从头算密度函数理论方法进行的。我们预测，在掺杂浓度x为8.0 GPa时，铁磁性强的半金属性将保持不变。$〜$0.25。对于所有半金属，均获得了在平均场近似范围内的铁磁交换耦合参数和居里温度高。我们还预测在压力为4 GPa-12 GPa的情况下，半赫斯勒AuMnSn中的铁磁性金属向铁磁性半金属的转移。所研究的所有铁磁半金属在高达15.0 GPa的压力下都是稳定的。我们观察到从Ruderman-Kittel-Kasuya-Yosida型铁磁交换过渡到As，Sb和Bi掺杂浓度x的Mn原子之间的Mn原子之间的超交换反铁磁相互作用。$〜$分别为0.81、0.84和0.89。我们的结果与可用的实验结果完全吻合，并提出了一种从AuMnSn生产半金属的新途径。