Crossover from hc/e to hc/2e current oscillations in rings of s-wave superconductors

Abstract

We analyze the crossover from an hc/e-periodicity of the persistent current in flux threaded clean metallic rings towards an hc/2e-flux periodicity of the supercurrent upon entering the superconducting state. On the basis of a model calculation for a one-dimensional ring we identify the underlying mechanism, which balances the hc/e versus the hc/2e periodic components of the current density. When the ring circumference exceeds the coherence length of the superconductor, the flux dependence is strictly hc/2e periodic. Further, we develop a multi-channel model which reduces the Bogoliubov - de Gennes equations to a one-dimensional differential equation for the radial component of the wave function. The discretization of this differential equation introduces transverse channels, whose number scales with the thickness of the ring. The periodicity crossover is analyzed close the critical temperature.

References in corpus (5)

• h/e-Periodicity in Superconducting Loops
• Restoration of the magnetic hc/e-periodicity in unconventional superconductors
• Emergence of $h/e$-period oscillations in the critical temperature of small superconducting rings threaded by magnetic flux
• Low-energy subgap states and the magnetic flux periodicity in d-wave superconducting rings
• Imperfect nanorings with superconducting correlations

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• Attractive Haldane bilayers for trapping non-Abelian anyons