Quantum Tunneling Theory of Cooper Pairs as Bosonic Particles

Abstract

We propose a simple phenomenological theory for quantum tunneling of Cooper pairs based on their boson like nature. Thus it applies in the absence of quasiparticle excitations (fermions), and should be suitable for boson like particles at the low energy regime. Around zero bias voltage our model reveals a rapid increase in tunneling current which rapidly saturates. This manifests as a zero bias conductance peak that strongly depends on the superconductors transition temperature. This low energy tunneling of Cooper pairs could serve as an alternative explanation for a number of tunneling experiments where zero bias conductance peak has been observed.