Interplay of Zeeman field, Rashba spin-orbit interaction, and superconductivity: Transition temperature and quasiparticle excitation

TL;DR

This paper theoretically examines how Zeeman fields and Rashba spin-orbit interactions influence superconductivity, focusing on transition temperature and quasiparticle excitations, with implications for new superconductor families.

Contribution

It provides a detailed theoretical analysis of the combined effects of Zeeman and Rashba interactions on superconducting properties, including transition temperature and quasiparticle energies.

Findings

Zeeman and Rashba interactions significantly alter $T_c$ and quasiparticle spectra.

Theoretical predictions align with experimental observations in A$_2$Cr$_3$As$_3$ superconductors.

Both $s$-wave and $p$-wave pairing states are affected by these interactions.

Abstract

This paper provides a theoretical analysis on the effects of an external Zeeman field and Rashba spin-orbit interactions on superconductivity. We have extensively studied their influence on the superconducting transition temperature $T_c$ and the quasiparticle excitation energy. Our investigation includes a detailed examination of both the $s$-wave and $p$-wave pairing states. Implications for the recently discovered family of superconductors, A$_2$Cr$_3$As$_3$ (A = Na, K, Rb and Cs), as well as the validation of our theory have been discussed.