Quantum Interference in Single-Molecule Superconducting Field-Effect Transistors

Single molecules can be coupled to metallic electrodes when the latter are in the superconducting state. In such emerging hybrid molecular devices, the possibility of the Josephson effect, that is, the dissipation-less transport of Cooper-paired electrons from one electrode to the other, arises. In this theoretical study, we demonstrate that a junction formed by two superconductors linked by an annular molecule, of which benzene (phenylene group) is a prototype, can sustain indeed a supercurrent and work as a "single molecule superconducting field-effect transistor (SMoSFET)". In this device, Cooper-paired electrons are transmitted via the molecule in the presence of quantum interference. Through the presented model, we show that the resonant nontrivial modulation of the critical current with an external gate voltage may be strongly modified by choosing a paracoupled, a metacoupled, or an orthocoupled molecular ring. These features are directly related to the possibility of obtaining a SMoSFET controlled by quantum interference.