Supercurrent determined from the Aharonov-Bohm effect in mesoscopic superconducting rings
Jian-Xin Zhu, Z. D. Wang
DOI 10.1103/PhysRevB.50.7207 · Physical Review B
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Abstract
We have solved the Bogoliubov–de Gennes equation for a clean, one-dimensional mesoscopic superconducting ring threaded by a magnetic flux Φ. We show that the superfluid velocity is driven directly by Φ while the relative motion of the pair of electrons is independent of Φ. Meanwhile, the fluxoid quantization is obtained straightforwardly. More importantly, we have also calculated the supercurrent numerically and self-consistently and find it is periodic in Φ with the period Φs≡hc/2e for Φs≤Φd=(mvdL/ħπ)Φs and with the period Φ0≡hc/e for Φd<Φs, which arises from mesoscopic effects.
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