# Nematic Skyrmions in Odd-Parity Superconductors

## TL;DR

This paper investigates topological excitations called nematic Skyrmions in two-component nematic superconductors, especially in Cu$_x$Bi$_2$Se$_3$, revealing their structure, interactions, and potential for forming bound states.

## Contribution

It introduces the concept of nematic Skyrmions as coreless vortices with topological charge in nematic superconductors, highlighting their interactions and bound state formation.

## Key findings

- Identifies coreless vortices as nematic Skyrmions with topological charge.
- Shows inter-Skyrmion forces are dipolar and orientation-dependent.
- Demonstrates formation of multi-Skyrmion bound states.

## Abstract

We study topological excitations in two-component nematic superconductors, with a particular focus on Cu$_x$Bi$_2$Se$_3$ as a candidate material. We find that the lowest-energy topological excitations are coreless vortices: a bound state of two spatially separated half-quantum vortices. These objects are nematic Skyrmions, since they are characterized by an additional topological charge. The inter-Skyrmion forces are dipolar in this model, i.e. attractive for certain relative orientations of the Skyrmions, hence forming multi-Skyrmion bound states.