# Interacting Majorana fermions in strained nodal superconductors

## TL;DR

This paper explores how non-uniform strain induces Landau levels and Majorana fermions in 2D and 3D superconductors with Dirac nodal points, revealing topological phase transitions and potential for exotic quasiparticles.

## Contribution

It demonstrates the spinful Majorana nature of zeroth Landau levels in strained nodal superconductors and identifies topological phases with localized Majorana modes at interfaces.

## Key findings

- Zeroth Landau levels exhibit Majorana fermion characteristics.
- Strain induces topological phase transitions in superconductors.
- Localized Majorana modes appear at interfaces under certain strains.

## Abstract

Landau levels (LL) have been predicted to emerge in systems with Dirac nodal points under applied non-uniform strain. We consider 2D, $d_{xy}$ singlet (2D-S) and 3D $p \pm i p$ equal-spin triplet (3D-T) superconductors (SCs). We demonstrate the spinful Majorana nature of the bulk gapless zeroth-LLs. Strain along certain directions can induce two topologically distinct phases in the bulk, with zeroth LLs localized at the the interface. These modes are unstable toward ferromagnetism for 2D-S cases. Emergent real-space Majorana fermions in 3D-T allow for more exotic possibilities.