Josephson effect in mesoscopic graphene strips with finite width

Mesoscopic Josephson Effect

In the classical Josephson effect the phase difference across the junction is well defined, and the supercurrent is reduced only weakly by phase diffusion. For mesoscopic junctions with small capacitance the phase undergoes large quantum fluctuations, and the current is also decreased by Coulomb blockade effects. We discuss the behavior of the current-voltage characteristics in a large range of...

An analysis of electromagnetic scattering from finite-width strips

Josephson effect in ballistic graphene

We solve the Dirac–Bogoliubov–de Gennes equation in an impurity-free superconductor–normal-metal– superconductor junction, to determine the maximal supercurrent Ic that can flow through an undoped strip of graphene with heavily doped superconducting electrodes. The result Ic W /L e 0 / is determined by the superconducting gap 0 and by the aspect ratio of the junction length L small relative to ...

Dimensional crossover in a mesoscopic superconducting loop of finite width

Superconducting structures with the size of the order of the superconducting coherence length ξ(T ) have a critical temperature Tc, oscillating as a function of the applied perpendicular magnetic field H (or flux Φ). For a thin-wire superconducting loop, the oscillations in Tc are perfectly periodic with H (this is the well-known Little-Parks effect), while for a singly connected superconductin...

an analysis of electromagnetic scattering from finite-width strips