# Stability of the coexistence phase of chiral superconductivity and noncollinear spin ordering with a nontrivial topology and strong electron correlations

## TL;DR

This paper demonstrates that in a strongly correlated 2D triangular lattice system, the coexistence of chiral superconductivity and noncollinear spin order remains stable despite quantum fluctuations, preserving topological properties and Majorana edge modes.

## Contribution

It shows the stability of the coexistence phase and topological features in a strongly correlated system with quantum fluctuations and Coulomb interactions.

## Key findings

- Coexistence of chiral d+id superconductivity and 120-degree spin order persists with quantum fluctuations.
- Topological invariant N3 remains unchanged, preserving nontrivial topology.
- Majorana modes exist at edges in the topologically nontrivial phase.

## Abstract

We show that the quantum charge and spin fluctuations, while sufficiently renormalizing the magnetic order parameter, do not destroy the coexistence phase of chiral d+id superconductivity and 120-degree spin ordering in a strongly correlated 2D system with a triangular lattice. The nontrivial topology characterized by the topological invariant N3 is also preserved. It is shown that the Majorana mode exist among edge states in the topologically nontrivial phase. The spatial structure of such mode is determined. The spin and charge fluctuations shift the critical values of electron density at which quantum topological transitions occur. Increasing intersite Coulomb repulsion leads to decrease in the number of the topological transitions.