Non-Equilibrium Greens Function Approach to Majorana Bound States in 1D nanowires

Majorana bound states have been proposed as a candidate for topological quantum computing (QC), a QC paradigm where qubits are topologically protected against dephasing compared to non-topological QC. This can enable low error QC where the number of physical q-bits required is significantly smaller. N-S-N nanowires (Kitaev Chain) have been proposed as a device for topological QC. In this work, we build a Non-Equilibrium Greens Function (NEGF) based simulation platform that incorporates elastic dephasing using the self-consistent Born approximation (SCBA) and find Majorana modes to be robust against dephasing. We also compare the calculated conductance of the N-S-N system as a function of energy and applied magnetic field with predictions in the literature.