Time reversal invariant topological superconductivity in correlated non-centrosymmetric systems

TL;DR

This paper investigates conditions under which correlated non-centrosymmetric systems can host time reversal invariant topological superconductivity, highlighting the role of ferromagnetic fluctuations using the functional renormalization group method.

Contribution

It identifies ferromagnetic-like fluctuations as a key factor for topological pairing in non-centrosymmetric superconductors, providing concrete examples and a guideline for future searches.

Findings

Ferromagnetic fluctuations promote topological pairing.

Proximity to ferromagnetic instability indicates potential topological superconductivity.

Concrete examples demonstrate ferromagnetic-like fluctuations leading to topological pairing.

Abstract

Using functional renormalization group method, we study the favorable condition for electronic correlation driven time reversal invariant topological superconductivity in symmetry class DIII. For non-centrosymmetric systems we argue that the proximity to ferromagnetic (or small wavevector magnetic) instability can be used as a guideline for the search of this type of superconductivity. This is analogous to the appearance of singlet unconventional superconductivity in the neighborhood of antiferromagnetic instability. We show three concrete examples where ferromagnetic-like fluctuation leads to topological pairing.