Non-Equilibrium electron transport through an S-N-S junction: a Non-Equilibrium Green Function approach
Natale Matranga
Università della Calabria, Italy
Quantum transport explores the behavior of quantum particles, such as electrons, as they travel through nanoscale materials. Recent advancements in experimental techniques have significantly improved our ability to fabricate systems at these length scales, such as quantum dots, quantum wires and Josephson junctions. This progress has contributed to the development of the theoretical framework in the field of quantum transport. In this work, we employ the Non-Equilibrium Green Function (NEGF) approach to investigate the electron current flowing through a junction consisting of a normal central region and two superconducting leads. The focus will be on the derivation of an analytical expression for the current, which will be developed starting from a tight binding formulation of each component of the junction. After finding an expression for the current, expected numerical results are shown, both in the case of a normal region modeled as a chain and in the case of a sawtooth-shaped chain.
