Weak-field dissipative conductivity of a dirty superconductor with Dynes subgap states under a dc bias current up to the depairing current density
Takayuki Kubo
DOI 10.1103/PhysRevResearch.2.013302 · Physical Review Research
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Abstract
We study the dissipative conductivity σ1 of a dirty superconductor with a finite Dynes parameter Γ under a dc-biased weak time-dependent field. The Usadel equation for the current-carrying state is solved to calculate the pair potential, penetration depth, supercurrent density, and quasiparticle spectrum. It is shown that, while the depairing current density jd for Γ=0 is coincident with the Kupriyanov-Lukichev theory, a finite Γ decreases the superfluid density, resulting in a reduction of jd. The broadening of the peaks of the quasiparticle density of states induced by a combination of a finite Γ and a dc bias can reduce σ1 below that for the ideal dirty BCS superconductor with Γ=0, while subgap states at Fermi level proportional to Γ results in a residual conductivity at T→0. We find the optimum combination of Γ and the dc bias to minimize σ1 by scanning all Γ and all currents up to jd. By using the results, it is possible to improve jd and reduce electromagnetic dissipation in various superconducting quantum devices.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Nb Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 9.2 | Pressure not reported | unknown |
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