# Majorana fermion exchange in strictly one-dimensional structures

@article{Chiu2015MajoranaFE, title={Majorana fermion exchange in strictly one-dimensional structures}, author={Ching-Kai Chiu and Mojtaba Mashhadi Mohammadzadeh Vazifeh and Marcel Franz}, journal={EPL}, year={2015}, volume={110}, pages={10001} }

It is generally thought that the adiabatic exchange of two identical particles is impossible in one spatial dimension. Here we describe a simple protocol that permits the adiabatic exchange of two Majorana fermions in a one-dimensional topological superconductor wire. The exchange relies on the concept of "Majorana shuttle" whereby a π domain wall in the superconducting order parameter which hosts a pair of ancillary majoranas delivers one zero mode across the wire while the other one tunnels…

## 16 Citations

Topologically protected braiding in a single wire using Floquet Majorana modes

- PhysicsPhysical Review B
- 2019

Majorana zero modes are a promising platform for topologically protected quantum information processing. Their non-Abelian nature, which is key for performing quantum gates, is most prominently…

Majorana bound states from exceptional points in non-topological superconductors

- Physics, MedicineScientific reports
- 2016

It is shown that MDSs exhibit the full range of properties associated to conventional closed-system Majorana bound states (zero-energy, self-conjugation, 4π-Josephson effect and non-Abelian braiding statistics), while not requiring topological superconductivity.

Hierarchy of higher-order topological superconductors in three dimensions

- PhysicsPhysical Review B
- 2021

After exploring much on two-dimensional higher-order topological superconductors (HOTSCs) hosting Majorana corner modes (MCMs) only, we propose a simple fermionic model based on a three-dimensional…

Fractional Josephson effect with and without Majorana zero modes

- PhysicsPhysical Review B
- 2019

It is known that the low-energy physics of the Josephson effect in the presence of Majorana zero modes exhibits a $4\pi$ periodicity as the Aharonov-Bohm flux varies in contrast to the $2\pi$…

Flux-driven quantum phase transitions in two-leg Kitaev ladder topological superconductor systems

- Physics
- 2016

Abstract We investigate a two-leg ladder topological superconductor system consisting of two parallel Kitaev chains with interchain coupling. It is found that either uniform or staggered fluxes…

Miraging a Majorana

- Physics
- 2018

The image of a Majorana mode located on the focus of an elliptical corral of free electrons is studied. The Majorana mode may be taken at the edge of a topological wire superimposed on the…

Topological superconductors: a review.

- Physics, MedicineReports on progress in physics. Physical Society
- 2017

This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological…

Braiding Majorana zero modes using quantum dots

- PhysicsPhysical Review B
- 2018

We discuss a network of Kitaev wires coupled to several individually-tunable quantum dots as an extension of the recent experiments on a quantum dot coupled to a nanowire hosting Majorana zero modes…

Majorana bound states in semiconducting nanostructures

- PhysicsJournal of Applied Physics
- 2021

In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain toy model in…

A topological Josephson junction platform for creating, manipulating, and braiding Majorana bound states

- Physics
- 2019

As part of the intense effort towards identifying platforms in which Majorana bound states can be realized and manipulated to perform qubit operations, we propose a topological Josephson junction…

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