# CEC-ICMC 2019 - Abstracts, Timetable and Presentations

Jul 21 – 25, 2019
Connecticut Convention Center, Level 6
US/Eastern timezone

## M2Po2A-04 [28]: Analysis of supercondactivity properties of ${\rm PbH_4(H_2)_2}$ calculated by using an Eliashberg equations

Jul 23, 2019, 1:30 PM
2h
Level 6, Cryo Expo Exhibit Hall

### Level 6, Cryo Expo Exhibit Hall

Poster Presentation

### Speaker

Mrs Kamila Kosk-Joniec (Department of Theoretical Physics, Institute of Physics, Jan Dlugosz University in Czestochowa)

### Description

Our reserch was focused on ${\rm PbH_4(H_2)_2}$ which is the first of plumbanes homologous serie dopped by a hydrogen. Superconducting state in a homologous series wasn’t checked yet. This is a very interesting issue against of Ashcroft’s thesis about superconductivity in hydrogen rich compounds. This compound connects the heavy element like lead and the lightest – hydrogen. If the properties were calculated by us in the future for last two elements of plumbans homologous serie it
could show what is the dependence between the quantity of lead and hydrogen atoms. The research was aimed to determine the superconducting properties of the compound ${\rm PbH_4(H_2)_2}$ . Critical temperature value (Tc) which the compound ${\rm PbH_4(H_2)_2}$ under the pressure 200 GPa goes into a superconducting state in a function of Coulomb pseudopotential was calculated by using the formalism of Eliashberg equations due to the high value of electron-phonon coupling constant in the studied system ($\lambda=1.3$). It was found that for the Coulomb pseudopotential value $\mu^*\in\langle 0.1, 0.3\rangle$ the critical temperature is within the range 81 K to 121 K. We also calculated normal heat and heat of the superconducting state in this compound. As part of the work, the full order parameter was also determined and the value of the dimensionless coefficient $R_{\Delta}$, which is 3.96 to 4.22.

### Primary author

Mrs Kamila Kosk-Joniec (Department of Theoretical Physics, Institute of Physics, Jan Dlugosz University in Czestochowa)

### Co-author

Prof. Radosław Szczęśniak (Institute of Physics, Częstochowa University of Technology, Ave. Armii Krajowej 19, 42-200, Częstochowa, Poland.)