Properties of the superconducting state in molecular metallic hydrogen under pressure at 347 GPa

TL;DR

This study investigates the thermodynamic properties of superconducting molecular metallic hydrogen at 347 GPa, revealing how critical temperature, energy gap, and effective electron mass vary with Coulomb pseudopotential, providing insights into its superconducting state.

Contribution

The paper provides the first detailed analysis of thermodynamic properties of superconducting molecular metallic hydrogen under high pressure, including critical temperature, energy gap, and electron mass ratio.

Findings

Critical temperature ranges from 120 K to 90 K depending on Coulomb pseudopotential.

The energy gap ratio slightly decreases with increasing Coulomb pseudopotential.

Effective electron mass reaches up to 1.96 times the bare electron mass at T_C.

Abstract

The thermodynamic properties of the superconducting state induced in metallic molecular hydrogen under the influence of pressure 347 GPa were determined. In particular, it has been shown that the critical temperature ($T_{C}$) changes in the range from 120 K to 90 K for $\mu^{*}\in<0.08,0.15>$, where $\mu^{*}$ is the value of the Coulomb pseudopotential. Next, the energy gap near the temperature of zero Kelvin ($2\Delta(0)$) was calculated. It has been stated, that the dimensionless ratio $2\Delta(0)/k_{B}T_{C}$ slightly decreases with the increase of $\mu^{*}$ from 3.98 to 3.84. In the last step, the ratio of effective electron mass ($m^{*}_{e}$) to the bare electron mass ($m_{e}$)) was determined. It has been proved that $m^{*}_{e}/m_{e}$ takes its highest value equal to 1.96 for $T=T_{C}$.