1972
DOI: 10.1063/1.1654088
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Resistivity Ratio of Niobium Superconducting Cavities

Abstract: Resistivity measurements have been made on Nb cavities, as well as on Pb and Cu, at 296, 77, and 4.2 o K by means of a contactless induced-current method. For superconductors, a constant magnetic field drives the material normal below the transition temperature. These measurements provide a simple means for initial material evaluation as well as a direct means of monitoring the effects of material parameters (purity, heat treatment, gas incorporation, etc.) on the electron mean free path.Approximate determinat… Show more

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Cited by 11 publications
(5 citation statements)
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“…( 2) and ( 7) can be inferred from independent measurements, except the absolute position of the origin ϕ = 0 • relative to the coil axis H 2 . Using the mean-free path extracted from the normal state resistivity, ℓ = ρ −1 × 3.7 pΩcm 2 = 1.6 nm [22], we estimate the dirty limit penetration depth, λ 0 ≃ λ(ξ/ℓ) 1/2 (T c0 /T c ) 1/2 = 226 nm, the coherence length ξ 0 = √ ξℓ(T c0 /T c ) 1/2 = 9 nm, and κ = λ 0 /ξ 0 ≃ 25 for the clean-limit values λ ≃ ξ ≃40 nm [23]. Here the factor T c0 /T c accounts for the difference between our sample critical temperature and T c0 = 9.2 K of pure Nb.…”
mentioning
confidence: 99%
“…( 2) and ( 7) can be inferred from independent measurements, except the absolute position of the origin ϕ = 0 • relative to the coil axis H 2 . Using the mean-free path extracted from the normal state resistivity, ℓ = ρ −1 × 3.7 pΩcm 2 = 1.6 nm [22], we estimate the dirty limit penetration depth, λ 0 ≃ λ(ξ/ℓ) 1/2 (T c0 /T c ) 1/2 = 226 nm, the coherence length ξ 0 = √ ξℓ(T c0 /T c ) 1/2 = 9 nm, and κ = λ 0 /ξ 0 ≃ 25 for the clean-limit values λ ≃ ξ ≃40 nm [23]. Here the factor T c0 /T c accounts for the difference between our sample critical temperature and T c0 = 9.2 K of pure Nb.…”
mentioning
confidence: 99%
“…The dominating term will depend on the contact dimension a , the resistivity ρ of the sample and the mean free path l of the charge carriers. For ρ = 13 μ Ω cm (as resulting by direct measurements) and considering that ρl = 3.72 × 10 −6 μ Ω cm 2 for niobium 46 47 , it comes out that the minimum contact dimension is a ≃ 8 nm. The ratio l / a < 1 gives indication for diffusive contact.…”
Section: Methodsmentioning
confidence: 94%
“…This is somewhat lower than the ∼ 810 nm expected for Nb with a residual-resistivity ratio of approximately 300 (see, e.g., Refs. [132,133]); however, we point out that our microscopic method of determining samples only the spatial region probed by the μ + beam, making it more sensitive to the surface region, where, for example, interstitial impurities are likely more prevalent. Similarly, it is at first surprising to find that nonlocal electrodynamics [23,24] are not necessary to describe the data; however, this is consistent with our , which equivalently yields a short "effective" coherence length ξ 0 (at 0 K) according to [116]…”
Section: Discussionmentioning
confidence: 99%