Search for Majorana zero modes in a triangulartopological superconductor island

With the goal of designing a flexible platform for performing braiding oper-
ations on Majorana zero modes for topological quantum computation, we study
the connection between 0D and 1D Majorana modes in a triangular island of a
model topological superconductor. Using the mean-field Bogoliubov-de Gennes
theory, we solve a tight-binding model with Rashba spin-orbit coupling, out-of-
plane Zeeman field, and s-wave pairing, on an equilateral triangle, which can
host chiral Majorana edge modes. By applying an additional in-plane Zeeman
field, we are able to break the three-fold rotation symmetry of the model and
effectively change both the energy and the real space profile of the discrete
Majorana edge modes. In particular, we study the spectral flow of the Majo-
rana edge modes as a function of the in-plane Zeeman field, and identify the
conditions which can lead to well-isolated Majorana zero modes.