%0 Journal Article
%J arXiv:1901.02114 [cond-mat]
%D 2019
%T Superconductivity of Liquids
%A Liu, Huiying
%A Yuan, Ying
%A Liu, Donghao
%A Xin-Zheng Li
%A Junren Shi
%K Condensed Matter - Superconductivity
%X 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.
%B arXiv:1901.02114 [cond-mat]
%G eng