Bound states 2023

Josephson junctions with topological interlayers - Tutorial

Alexander Brinkman1

1 MESA+ Institute for Nanotechnology, University of Twente, the Netherlands

In order to experimentally study Majorana and parafermionic quasiparticles a platform is needed that combines superconductivity and topology. A candidate platform is a Josephson junction with standard s-wave superconductors as leads and a topological interlayer in which electron spin is coupled to momentum direction.

In this tutorial, we will review results for junctions based on topological materials with transport in 3D bulk Dirac semimetals, 2D topological surface states, vortex arrays, as well as 1D higher order topological hinge states, progressively reducing the number of non-topological additional modes. We will discuss the use and limitations of several dc and microwave experiments as well as experimental challenges towards future braiding experiments.