Quantum-Transport in Semiconductor Nanowire Josephson Junctions

Semiconductor nanowire-superconductor hybrid systems provide a promising platform for hosting unpaired Majorana fermions and thus realizing fault-tolerant topological qubits. In this study, we employ the Non-Equilibrium Green’s Function (NEGF) Formalism to model quantum transport in normal (N)-superconductor(S) junctions. We analyze Josephson junctions based on semiconductor nanowires and derive the Andreev bound state spectrum and current-phase relations. Recently, [1], and [2] have reported oscillations in the critical supercurrent with an axial magnetic field. Our simulations indicate that this phenomenon arises from the interference of orbital angular momentum modes of the cylindrical nanowire. We add disorder and study its effect on the critical current oscillations, with an aim to gain a thoroughgoing understanding of the experiments.
References
1. K. Gharavi et.al., ArXiv:1405.7455v2, (2014).
2. Zuo, et. al. Phys. Rev. Lett. 119, 187704 (2017)