First-principles calculations on structural stability and electronic properties of nitrogen-doped lutetium hydrides under pressure

Since the discovery of superconductivity, the realization of room-temperature superconductivity has been the long dream of mankind. Recently, it has been reported that nitrogen-doped lutetium hydride has room-temperature superconductivity at near-ambient conditions. However, there is no solid evidence of such tantalizing superconductivity in nitrogen-doped lutetium hydride synthesized by follow-up experiments. The compositions and crystal structures of the nitrogen-doped lutetium hydride are still unclear. Therefore, we here systematically study the structural stability and electronic properties of Fm3[over ¯]m LuH_{3} and N-doped Fm3[over ¯]m LuH_{3}, such as 1, 2, 3, 4, and 8% N, by first-principles calculations. Our further electronic properties calculations show that all the simulated Lu-N-H ternary compounds are metallic, except for a semiconducting phase of Lu_{4}H_{11}N (LuH_{2.75}N_{0.25}). Remarkably, the contribution of the H atoms to the electronic density of states at the Fermi level could be tuned by the increasing N concentration. Electron-phonon coupling calculations also show that both Fm3[over ¯]m LuH_{3} and Pm3[over ¯]m Lu_{4}H_{11}N are superconducting with critical temperature T_{c}'s of 23 and 32 K at 24 and 60 GPa, respectively. Our current results suggest that LuH_{3} and N-doped LuH_{3} could be potential superconductors only at high pressure, while the estimated T_{c} values are much lower than room temperature.