Spin-orbit coupling enhanced superconductivity in Bi-rich compounds ABi$_{3}$ (A=Sr and Ba)

TL;DR

This study demonstrates that spin-orbit coupling significantly stabilizes the structure and enhances superconductivity in Bi-rich compounds ABi3 (A=Sr, Ba) by affecting phonon properties and electron-phonon interactions.

Contribution

The paper provides a theoretical analysis showing how SOC stabilizes ABi3 structures and increases their superconducting transition temperatures, aligning calculations with experimental results.

Findings

SOC suppresses Fermi surface nesting and phonon instabilities.

SOC increases electron-phonon coupling and softens phonons.

Calculated $T_c$ with SOC matches experimental measurements.

Abstract

Recently, Bi-based compounds have attracted attentions because of the strong spin-orbit coupling (SOC). In this work, we figured out the role of SOC in ABi$_{3}$ (A=Sr and Ba) by theoretical investigation of the band structures, phonon properties, and electron-phonon coupling. Without SOC, strong Fermi surface nesting leads to phonon instabilities in ABi$_{3}$. SOC suppresses the nesting and stabilizes the structure. Moreover, without SOC the calculation largely underestimates the superconducting transition temperatures ($T_{c}$), while with SOC the calculated $T_{c}$ are very close to those determined by measurements on single crystal samples. The SOC enhanced superconductivity in ABi$_{3}$ is due to not only the SOC induced phonon softening, but also the SOC related increase of electron-phonon coupling matrix elements. ABi$_{3}$ can be potential platforms to construct heterostructure of superconductor/topological insulator to realize topological superconductivity.