Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session R44: Electrons, Phonons, Electron Phonon Scattering, and Phononics IV
8:00 AM–10:36 AM,
Thursday, March 5, 2020
Sponsoring Units: DCOMP DMP
Chair: Ludger Wirtz, University of Luxembourg Limpertsberg
Abstract: R44.00011 : Superconductivity of Liquids*
We develop a non-perturbative approach for calculating the superconducting transition temperatures (Tc's) of liquids. The electron-electron scattering amplitude induced by electron-phonon coupling (EPC), from which an 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 Tc, the linearized Eliashberg equations are re-established non-perturbatively. We apply the approach to estimate Tc's of metallic hydrogen liquids. It indicates that metallic hydrogen liquids in the pressure regime from 0.5 to 1.5 TPa have Tc's well above their melting temperatures, therefore are superconducting liquids.
 H. Liu, Y. Yuan, D. Liu, X.-Z. Li, and J. Shi, ArXiv:1901.02114 (2019).
*This work is supported by National Basic Research Program of China (973 Program) Grant No. 2015CB921101, 2016YFA0300900, and National Natural Science Foundation of China Grant No. 11325416, 11774003.
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