# A numerically exact study of Weyl superconductivity

## TL;DR

This paper investigates the effects of interactions on Weyl superconductivity using exact quantum Monte Carlo simulations, revealing unique pairing mechanisms influenced by pseudo-spin and topology.

## Contribution

It introduces a numerically exact study of Weyl superconductivity in a modified Hubbard model, highlighting the role of pseudo-spin in pairing and topological charge.

## Key findings

- Pseudo-spin influences pairing mechanisms.
- Attractive interactions lead to mixed singlet and triplet pairs.
- Provides detailed characterization of exotic pairing in topological systems.

## Abstract

We study the interplay of interactions and topology in a pseudo-spin Weyl system, obtained from a minimally modified Hubbard model, using the numerically exact auxiliary-field quantum Monte Carlo method complemented by mean-field theory. We find that the pseudo-spin plays a key role in the pairing mechanism, and its effect is reflected in the structure of the pairing amplitude. An attractive on-site interaction leads to pairing between quasiparticles carrying opposite spin and opposite topological charge, resulting in the formation of real-spin singlet pairs that are a mixture of pseudo-spin singlet and pseudo-spin triplet. Our results provide a detailed characterization of the exotic pairing behavior in this system, and represent an important step towards a more complete understanding of superconductivity in the context of topological band structures, which will help guide searches for topological superconductivity in real materials and ultracold atoms.