Superfluid flow in disordered superconductors with Dynes pair-breaking scattering: Depairing current, kinetic inductance, and superheating field

Takayuki Kubo

doi:10.1103/PhysRevResearch.2.033203

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Superfluid flow in disordered superconductors with Dynes pair-breaking scattering: Depairing current, kinetic inductance, and superheating field

Takayuki Kubo

DOI 10.1103/PhysRevResearch.2.033203 · Physical Review Research

T1

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Abstract

We investigate the effects of Dynes pair-breaking scattering rate Γ on the superfluid flow in a narrow thin-film superconductor and a semi-infinite superconductor by self-consistently solving the coupled Maxwell and Usadel equations for the BCS theory in the diffusive limit for all temperature T, all Γ, and all superfluid momentums. We obtain the depairing current density jd(Γ,T) and the current-dependent nonlinear kinetic inductance Lk(js,Γ,T) in a narrow thin film and the superheating field Hsh(Γ,T) and the current distribution in a semi-infinite superconductor, taking the nonlinear Meissner effect into account. The analytical expressions for jd(Γ,T)|T=0,Lk(js,Γ,T)|T=0, and Hsh(Γ,T)|T=0 are also derived. The theory suggests jd and Hsh can be ameliorated by reducing Γ, and Lk can be tuned by a combination of the bias current and Γ. Tunneling spectroscopy can test the theory and also give insight into how to engineer Γ via materials processing. Implications of the theory would be useful to improve performances of various superconducting quantum devices.

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Formula	Reported Tc (K)	Pressure (GPa)	Type
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