# Superconductivity of Liquids

### Citation:

Liu H, Yuan Y, Liu D, Li X-Z, Shi J. Superconductivity of Liquids. arXiv:1901.02114 [cond-mat]. 2019.

### 摘要:

We develop a non-perturbative approach for calculating the superconducting transition temperatures (\\$T\_\c\\\$) of liquids. The electron-electron scattering amplitude induced by electron-phonon coupling (EPC), from which the effective pairing interaction can be inferred, is related to the fluctuation of the \\$T\\$-matrix of electron scattering induced by ions. By applying the relation, EPC parameters can be extracted from a path-integral molecular dynamics simulation. For determining \\$T\_\c\\\$, the linearized Eliashberg equations are re-established in the non-perturbative context. We apply the approach to estimate \\$T\_\c\\\$ of metallic hydrogen liquids. It indicates that metallic hydrogen liquids in the pressure regime from \\$0.5\\$ to \\$1.5\$\backslash\$mathrm\\$\backslash\$,TPa\\\$ have \\$T\_\c\\\$ well above their melting temperatures, therefore are superconducting liquids.