Motived by experimentally synthesized $mathrm{MoSi_2N_4}$ (textcolor[rgb]{0.00,0.00,1.00}{Science 369, 670-674 (2020})), the intrinsic piezoelectricity in monolayer $mathrm{XSi_2N_4}$ (X=Ti, Zr, Hf, Cr, Mo and W) are studied by density functional theory (DFT). Among the six monolayers, the $mathrm{CrSi_2N_4}$ has the best piezoelectric strain coefficient $d_{11}$ of 1.24 pm/V, and the second is 1.15 pm/V for $mathrm{MoSi_2N_4}$. Taking $mathrm{MoSi_2N_4}$ as a example, strain engineering is applied to improve $d_{11}$. It is found that tensile biaxial strain can enhance $d_{11}$ of $mathrm{MoSi_2N_4}$, and the $d_{11}$ at 4% can improve by 107% with respect to unstrained one. By replacing the N by P or As in $mathrm{MoSi_2N_4}$, the $d_{11}$ can be raise substantially. For $mathrm{MoSi_2P_4}$ and $mathrm{MoSi_2As_4}$, the $d_{11}$ is as high as 4.93 pm/V and 6.23 pm/V, which is mainly due to smaller $C_{11}-C_{12}$ and very small minus or positive ionic contribution to piezoelectric stress coefficient $e_{11}$ with respect to $mathrm{MoSi_2N_4}$. The discovery of this piezoelectricity in monolayer $mathrm{XSi_2N_4}$ enables active sensing, actuating and new electronic components for nanoscale devices, and is recommended for experimental exploration.
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