# Majorana zero modes in a quantum wire platform without Rashba spin-orbit coupling

## TL;DR

This paper proposes a new quantum wire platform that can host Majorana zero modes without relying on Rashba spin-orbit coupling, expanding the possibilities for topological quantum computing.

## Contribution

It introduces a hybrid double-quantum-wire setup that can realize topological superconductivity and Majorana modes without strong Rashba interactions, also exploring fractional excitations with parafermionic algebra.

## Key findings

- Platform can host Majorana zero modes without Rashba coupling
- Electron interactions stabilize fractional parafermionic excitations
- Expands Hamiltonian options for topological quantum systems

## Abstract

We propose a platform for engineering helical fermions in a hybridized double-quantum-wire setup. When our setup is proximity coupled to an $s$-wave superconductor it can become a class $D$ topological superconductor exhibiting Majorana zero modes. The goal of this proposal is to expand the group of available Hamiltonians to those without strong Rashba spin-orbit interactions which are essential to many other approaches. Furthermore, we show that there exist electron-electron interactions that stabilize fractional excitations which obey $\mathbb{Z}^{\,}_{3}$ parafermionic algebra.