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arXiv · 1901.02114

Determining the Superconducting Transition Temperatures of Liquids

Huiying Liu·Ying Yuan·Donghao Liu·Xin-Zheng Li·Junren Shi
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Abstract

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 $1.5\mathrm{\,TPa}$ have $T_{c}$ well above their melting temperatures, therefore are superconducting liquids.

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Huiying Liu, Ying Yuan, Donghao Liu, Xin-Zheng Li, Junren Shi. 2019-01-08. Determining the Superconducting Transition Temperatures of Liquids. https://doi.org/10.1103/physrevresearch.2.013340

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