# Mixed-pairing superconductivity in 5d Mott insulators with antisymmetric exchange

## TL;DR

This paper predicts a mixed singlet-triplet superconducting phase in 5d Mott insulators with antisymmetric exchange, revealing topologically protected edge states and potential Majorana modes, with implications for experimental detection.

## Contribution

It introduces a novel mixed $d + p$ superconducting state in 5d Mott insulators driven by antisymmetric exchange and spin-orbit coupling, highlighting topological edge states and Majorana modes.

## Key findings

- Existence of mixed singlet-triplet ($d + p$) superconductivity in 5d Mott insulators.
- Presence of topologically protected, spin-polarized edge states with zero-energy flat bands.
- Potential for experimental detection via quasi-particle interference (QPI) techniques.

## Abstract

We investigate the potential existence of a superconducting phase in $5d$ Mott insulators with an eye to hole doped Sr$_2$IrO$_4$. Using a mean-field method, a mixed singlet-triplet superconductivity, $d + p$, is observed due to the antisymmetric exchange originating from a quasi-spin-orbit-coupling. Our calculation on ribbon geometry shows possible existence of the topologically protected edge states, because of nodal structure of the superconducting gap. These edge modes are spin polarized and emerge as zero-energy flat bands, supporting a symmetry protected Majorana states, verified by evaluation of winding number and $\mathbb{Z}_2$ topological invariant. At the end, a possible experimental approach for observation of these edge states and determination of the superconducting gap symmetry are discussed based on the quasi-particle interference (QPI) technique.