High-Temperature Superconductivity in Atomic Metallic Hydrogen
Jeffrey M. McMahon, David M. Ceperley

TL;DR
This study predicts that atomic metallic hydrogen exhibits high-temperature superconductivity with critical temperatures reaching up to 764K under extreme pressures, based on electron-phonon interactions across different phases.
Contribution
It provides the first detailed theoretical prediction of high-temperature superconductivity in atomic metallic hydrogen over a wide pressure range, highlighting phase-dependent variations in $T_c$.
Findings
$T_c$ increases with pressure, reaching about 356K near 500 GPa.
$T_c$ approaches 481K near 700 GPa.
A discontinuous jump in $T_c$ occurs at the atomic-atomic phase transition, reaching up to 764K.
Abstract
Superconductivity in the recently proposed ground-state structures of atomic metallic hydrogen is investigated over the pressure range 500 GPa to 3.5 TPa. Near molecular dissociation, the electron--phonon coupling and renormalized Coulomb repulsion are similar to the molecular phase. A continuous increase in the critical temperature with pressure is therefore expected, to K near 500 GPa. As the atomic phase stabilizes with increasing pressure, increases, causing to approach K near 700 GPa. At the first atomic--atomic structural phase transformation ( -- 1.5 TPa), a discontinuous jump in occurs, causing a significant increase in of up to 764K.
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