High-temperature study of superconducting hydrogen and deuterium sulfide

Abstract

Hydrogen-rich compounds are extensively explored as candidates for a high-temperature superconductors. Currently, the measured critical temperature of $203$ K in hydrogen sulfide (H${}_3$S) is among the highest over all-known superconductors. In present paper, using the strong-coupling Eliashberg theory of superconductivity, we compared in detail the thermodynamic properties of two samples containing different hydrogen isotopes H${}_3$S and D${}_3$S at $150$ GPa. Our research indicates that it is possible to reproduce the measured values of critical temperature $203$ K and $147$ K for H${}_3$S and D${}_3$S by using a Coulomb pseudopotential of $0.123$ and $0.131$, respectively. However, we also discuss a scenario in which the isotope effect is independent of pressure and the Coulomb pseudopotential for D${}_3$S is smaller than for H${}_3$S. For both scenarios, the energy gap, specific heat, thermodynamic critical field and related dimensionless ratios are calculated and compared with other conventional superconductors. We shown that the existence of the strong-coupling and retardation effects in the systems analysed result in significant differences between values obtained within the framework of the Eliashberg formalism and the prediction of the Bardeen-Cooper-Schrieffer theory.

7 pages, 9 figures

References in corpus (11)

• Conventional superconductivity at 203 K at high pressures
• Hydrogen sulphide at high pressure: a strongly-anharmonic phonon-mediated superconductor
• Pressure-induced decomposition of solid hydrogen sulfide
• What superconducts in sulfur hydrides under pressure, and why
• Cubic H${}_3$S around 200 GPa: an atomic hydrogen superconductor stabilized by sulfur
• First-principles study of the pressure and crystal-structure dependences of the superconducting transition temperature in compressed sulfur hydrides
• Influence of bonding on superconductivity in high-pressure hydrides
• Superconductivity above the lowest Earth temperature in pressurized sulfur hydride
• Comparison of pressurized sulfur hydride with conventional superconductors
• Non-BCS thermodynamic properties of H2S superconductor
• Hole superconductivity in $H_{2}S$ and other sulfides under high pressure

Cited by in corpus (21)

• Crystal Structure of 200 K-Superconducting Phase of Sulfur Hydride System
• Effect of van Hove singularities on high-Tc superconductivity in H3S
• High-Temperature Superconductivity in Th-H System at Pressure Conditions
• Quantitative analysis of nonadiabatic effects in dense H${}_3$S and PH${}_3$ superconductors
• Possible "Magnéli" phases and self-alloying in the superconducting sulfur hydride
• Classifying superconductivity in compressed H3S
• Band structure and electron-phonon coupling in H${}_3$S:a tight-binding model
• From LaH10 to room-temperature superconductors
• Full-bandwidth anisotropic Migdal-Eliashberg theory and its application to superhydrides
• Pressure effects on the unconventional superconductivity of the noncentrosymmetric LaNiC2
• Effect of Doping on the phase stability and Superconductivity in LaH10
• The isotope effect in H${}_3$S superconductor
• The Thermodynamics and the Inverse Isotope Effect of superconducting PdH and PdD under pressure
• Unconventional superconductivity in highly-compressed unannealed sulphur hydride
• Carbonaceous sulfur hydride system: the strong-coupled room-temperature superconductor with a low value of Ginzburg-Landau parameter
• Double-valued strong-coupling corrections to Bardeen-Cooper-Schrieffer ratios
• Characteristics of the Eliashberg formalism on the example of high-pressure superconducting state in phosphor
• Effect of van Hove singularity on the isotope effect and critical temperature of H${}_3$S hydride superconductor as a function of pressure
• The Isotope Effect and Critical Magnetic Fields of Superconducting YH${}_6$: A Migdal-Eliashberg Theory Approach
• High-pressure superconducting state in hydrogen
• Theoretical prediction of strong-coupling superconductivity in a hypothetical NaAlH3 phase at ambient pressure