Predictions of highest Transition-temperature for electron-phonon superconductors

TL;DR

This paper uses advanced theoretical calculations to map and predict the maximum transition temperatures of electron-phonon superconductors, highlighting the role of vertex corrections and estimating a high T$_{c}$ for iron-based superconductors.

Contribution

It introduces comprehensive maps of T$_{c}$ in parameter space using Eliashberg theory with vertex corrections, predicting high T$_{c}$ values for new superconductors.

Findings

Maximum T$_{c}$ predicted near 90 K for iron-based superconductors

Strong vertex correction correlates with high T$_{c}$

Maps of T$_{c}$ provide insights into superconductor stability

Abstract

Using the Eliashberg strong coupling theory with vertex correction, we calculate maps of transition temperatures (T$_{c}$) of electron-phonon superconductors in full parameter space. The maximums of transition temperatures for superconductors are predicted based on the maps and the criterion of instability of superconductivity. The strong vertex correction and high transition temperature are tightly correlated in superconductors. We predict that the maximum of T$_{c}$ of new iron-based superconductors will be close to 90(K).