Abstract
We investigate the role of specific phonon mode symmetries for the room temperature superconductivity in atomic hydrogen under large pressure. Using anisotropic Migdal-Eliashberg theory with ab initio input from density functional theory, we show that the $E_u$ phonon modes are the dominant driving force for obtaining such high critical temperatures. When going from 400 to 600 GPa, we find an increased transition temperature, however, the total electron-phonon coupling strength is counterintuitively reduced. Our analysis reveals that this is due to an enhanced contribution to the coupling strength by the $E_u$ phonon mode.
Highlights
Reaching superconductivity at room temperature has been the focus of intense research activities in the last few years
We find Tc approximately as room temperature for a reasonable range of Coulomb pseudopotential values μ, which is consistent with previous investigations [25,27,28]
We have reported a detailed analysis of the superconducting properties of metallic atomic hydrogen under high pressure conditions
Summary
Reaching superconductivity at room temperature has been the focus of intense research activities in the last few years (see [1,2] for recent surveys). Very recent studies report room-temperature superconductivity (287 K) in a carbonaceous sulfur hydride at 267 GPa [9], and possibly even a higher critical temperature in a La superhydride mixed with ammonia borane [10]. The existence of a metallic phase of atomic hydrogen was first conceived by Wigner and Huntington in 1935 [12].
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