Quantifying robustness and locality of Majorana bound states in interacting systems

This repository contains the code used to generate the data and the figures used in the paper

Quantifying robustness and locality of Majorana bound states in interacting systems
William Samuelson, Juan Daniel Torres Luna, Sebastian Miles, A. Mert Bozkurt, Martin Leijnse, Michael Wimmer, Viktor Svensson

Data for Figure 2 is generated by scripts/phase_diagram_data.jl, and the figure itself by scripts/phase_diagram_plot.jl.

Figure 3 is generated by scripts/energy_splitting.jl.

Methods

The main machinery of this code involves fermionic tensor products and fermionic partial traces. These are implemented in the package FermionicHilbertSpaces.jl.

Reproducing this project

This code base is using the Julia Language and DrWatson to make a reproducible scientific project.

To (locally) reproduce this project, do the following:

0. Download this code base. Notice that raw data are typically not included in the git-history and may need to be downloaded independently.
1. Open a Julia console and do:

   julia> using Pkg
   julia> Pkg.add("DrWatson") # install globally, for using `quickactivate`
   julia> Pkg.activate("path/to/this/project")
   julia> Pkg.instantiate()
   

This will install all necessary packages for you to be able to run the scripts and everything should work out of the box, including correctly finding local paths.

You may notice that most scripts start with the commands:

using DrWatson
@quickactivate :ManybodyMajoranas

which auto-activate the project and enable local path handling from DrWatson.