Determining the Superconducting Transition Temperatures of Liquids

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.

15 pages, 8 figures, 1 table

References in corpus (2)

• Observation of the Wigner-Huntington Transition to Solid Metallic Hydrogen
• Lattice stability and high pressure melting mechanism of dense hydrogen up to 1.5 TPa

Cited by in corpus (5)

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• Stochastic path-integral approach for predicting the superconducting temperatures of anharmonic solids
• Non-perturbative $ab$ $initio$ approach for calculating the electrical conductivity of a liquid metal
• Anharmonicity and Coulomb pseudopotential effects on superconductivity in YH${}_6$ and YH${}_9$