Study of the superconducting state in the Cmmm phase of GeH4 compound

Abstract

A superconducting state, that induces in $\mathrm{Ge}{\mathrm{H}}_4$ under the pressure at 20 GPa, is being characterized by a high critical temperature $T_C\in <54.54,31.23>$ K, for a wide range of the Coulomb pseudopotential ${\mu }^{\star }\in <0.1,0.3>$. Other thermodynamic parameters for the considered range of the Coulomb pseudopotential significantly differ from the predictions of a classical BCS theory. In particular: (i) the ratio of the energy gap to the critical temperature ($R_{\Delta }\equiv 2\Delta (0)/k_B{T}_C$) changes from 4.07 to 3.88; (ii) the value of the parameter $R_C\equiv \Delta C(T_C)/C^N(T_C)$ decreases from 1.85 to 1.69, where $\Delta C$ denotes the specific heat's jump, and $C^N$ is the specific heat of the normal state; (iii) the ratio $R_H\equiv T_C{C}^N(T_C)/H_C^2(0)$, where $H_C(0)$ represents the low - temperature thermodynamic critical field, increases from 0.147 to 0.155.

6 pages, 5 figures

References in corpus (4)

• Anisotropic superconductivity in the two-dimensional electron-phonon system
• Characterization of the high-pressure superconductivity in the Pnma phase of calcium
• The superconducting phase of Calcium under the pressure at 200 GPa: the strong-coupling description
• Thermodynamics of the superconducting state in Calcium at 200 GPa

Cited by in corpus (2)

• First-principles study of the pressure and crystal-structure dependences of the superconducting transition temperature in compressed sulfur hydrides
• The Search for Superconductivity in High Pressure Hydrides