22 citations · 49 across the 4 of their papers we have counts for
4 papers
Topological Josephson junction in transverse magnetic field
Stefan Backens, Alexander Shnirman, Yuriy Makhlin
We consider Majorana zero modes in a Josephson junction on top of a topological insulator in transverse magnetic field. Majorana zero modes reside at periodically located nodes of…
Current--phase relation in a topological Josephson junction: Andreev bands vs. scattering states
Stefan Backens, Alexander Shnirman
We consider a long topological Josephson junction formed on a conducting 2D surface of a 3D topological insulator (TI). The superconducting correlations are proximity-induced by s-…
Jordan-Wigner transformations for tree structures
Stefan Backens, Alexander Shnirman, Yuriy Makhlin
The celebrated Jordan--Wigner transformation provides an efficient mapping between spin chains and fermionic systems in one dimension. Here we extend this spin-fermion mapping to a…
Emulating Majorana fermions and their braiding by Ising spin chains
Stefan Backens, Alexander Shnirman, Yuriy Makhlin +3
We analyse the control of Majorana zero-energy states by mapping the fermionic system onto a chain of Ising spins. Although the topological protection is lost for the Ising system,…