First-principles estimation of the superconducting transition temperature of a metallic hydrogen liquid

We present a first-principles implementation of the stochastic path-integral approach proposed by Liu et al. [H. Liu, Y. Yuan, D. X.-Z. Li, and J. Shi, Phys. Rev. Research 2, 013340 (2020)] for estimating superconducting transition temperature ($T_c$) liquid. The is based on all-electron projector-augmented-wave (PAW) method. generalize al.'s formalism to accommodate pseudo-description electron states in PAW A formula constructing overlap operator method eliminate errors due incompleteness pseudo-basis set. apply estimate $T_c$'s metallic hydrogen liquids. It confirms prediction that can form