Critical current of a one-dimensional superconductor
Philip F. Bagwell
DOI 10.1103/PhysRevB.49.6841 · Physical Review B
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Abstract
We solve the Bogoliubov–de Gennes equations for a clean, one-dimensional superconductor in the presence of superfluid flow. The maximum electrical current occurs when the superfluid velocity vs equals the Landau depairing velocity Δ/pF, where Δ is the pairing potential of the superconductor and pF is the Fermi momentum. The resulting critical current is approximately 2/π times smaller than the value eΔ/ħ recently predicted for a superconducting point contact. The ‘‘discretized’’ critical current of (2/π)(eΔ/ħ) arises when all the conducting electrons are forced to drift at the Landau depairing velocity.
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