Quasiparticle Magnetospectroscopy in Superconductors: A Detailed Look at the Shape of the Penetration Layer

Doezema, R. E.; Huffaker, J. N.; Whitmore, S.; Slinkman, J.; Lawrence, W. E.

doi:10.1103/physrevlett.53.714

Cited by 11 publications

(8 citation statements)

References 18 publications

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“…The points hBi plotted versus hzi are in very good agreement with the curve Bz obtained from Eq. (7). As a further cross-check for the sensitivity and accuracy of the method based on Eq.…”

Section: P H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 99%

“…The magnetoabsorption resonance spectroscopy technique uses the fact that qua-siparticles traveling parallel to the shielding current are bound to the surface by an effective magnetic potential. An indication of nonlocal effects in Al was inferred by comparing microwave induced resonant transitions between the energy levels of these bound states with transition fields calculated from the energy levels of the trapping potential, parametrized to include the shape of the nonlocal BCS-like potential [7,8]. Because of the resonant character of the experiment, only a few specific points of the potential are probed.…”

mentioning

confidence: 99%

“…Though theoretical predictions are already half a century old, the direct experimental verification has been lacking. Signatures for non-local field penetration have been searched so far by induction techniques [6], magnetoabsorption resonance spectroscopy [7,8], and polarized neutron scattering reflectrometry (PNR) [9]. The pioneering measurements of Drangheid and Sommerhalder * Electronic address: andreas.suter@psi.ch † Electronic address: elvezio.morenzoni@psi.ch [6] revealed that there is a sign reversal of B(z) (as predicted by theory), but no further quantitative results could be drawn from this experiment.…”

mentioning

confidence: 99%

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Direct Observation of Nonlocal Effects in a Superconductor

Suter¹,

Morenzoni²,

Khasanov

et al. 2004

Phys. Rev. Lett.

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We have used the technique of low energy muon spin rotation to measure the local magnetic field profile B(z) beneath the surface of a lead film maintained in the Meissner state (z depth from the surface, z less, similar 200 nm). The data unambiguously show that B(z) clearly deviates from an exponential law and represent the first direct, model independent proof for a nonlocal response in a superconductor.

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“…The points hBi plotted versus hzi are in very good agreement with the curve Bz obtained from Eq. (7). As a further cross-check for the sensitivity and accuracy of the method based on Eq.…”

Section: P H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Direct Observation of Nonlocal Effects in a Superconductor

Suter¹,

Morenzoni²,

Khasanov

et al. 2004

Phys. Rev. Lett.

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“…A first determination of the penetration-layer characteristics in a nonlocal superconductor has been achieved by Doezema et al 12,13 . B(z) in a single crystal Al sample was studied utilizing a resonance magnetoabsorption technique.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal effect and dimensions of Cooper pairs measured by low-energy muons and polarized neutrons in type-I superconductors

et al. 2013

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The Pippard coherence length ξ0 (the size of a Cooper pair) in two extreme type-I superconductors (In and Sn) was determined directly through high-resolution measurement of the nonlocal electrodynamic effect combining low-energy muon spin rotation spectroscopy and polarized neutron reflectometry. The renormalization factor Z ≡ m * cp /2m (m * cp and m are the mass of the Cooper pair and the electron, respectively) resulting from the electron-phonon interaction, and the temperature dependent London penetration depth λL(T ) were determined as well. An expression linking ξ0, Z and λL(0) is introduced and experimentally verified. This expression allows one to determine experimentally the Pippard coherence length in any superconductor, independent of whether the superconductor is local or nonlocal, conventional or unconventional.

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“…A historical summary of the experimental work on this subject begins with that of Sommerhalder and co-worker 6,7,8 who showed the existence of a sign reversal of B(z) by measuring the magnetic field leaking through a very thin superconducting tin film. Doezema et al 9 applied magnetoabsorption resonance spectroscopy techniques to tackle the problem. The technique uses the fact that quasiparticles traveling parallel to the shielding current are bound to the surface by an effective magnetic potential.…”

Section: Introductionmentioning

confidence: 99%

Observation of nonexponential magnetic penetration profiles in the Meissner state: A manifestation of nonlocal effects in superconductors

et al. 2005

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Implanting fully polarized low energy muons on the nanometer scale beneath the surface of a superconductor in the Meissner state enabled us to probe the evanescent magnetic field profile B(z) (0 < z 200nm measured from the surface). All the investigated samples [Nb: κ ≃ 0.7(2), Pb:κ ≃ 0.6(1), Ta: κ ≃ 0.5(2)] show clear deviations from the simple exponential B(z) expected in the London limit, thus revealing the non-local response of these superconductors. From a quantitative analysis within the Pippard and BCS models the London penetration depth λL is extracted. In the case of Pb also the clean limit coherence length ξ0 is obtained. Furthermore we find that the temperature dependence of the magnetic penetration depth follows closely the two-fluid expectation 1/λ 2 ∝ 1 − (T /Tc) 4 . While B(z) for Nb and Pb are rather well described within the Pippard and BCS models, for Ta this is only true to a lesser degree. We attribute this discrepancy to the fact that the superfluid density is decreased by approaching the surface on a length scale ξ0. This effect, which is not taken self-consistently into account in the mentioned models, should be more pronounced in the lowest κ regime consistently with our findings.

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Quasiparticle Magnetospectroscopy in Superconductors: A Detailed Look at the Shape of the Penetration Layer

Cited by 11 publications

References 18 publications

Direct Observation of Nonlocal Effects in a Superconductor

Direct Observation of Nonlocal Effects in a Superconductor

Nonlocal effect and dimensions of Cooper pairs measured by low-energy muons and polarized neutrons in type-I superconductors

Observation of nonexponential magnetic penetration profiles in the Meissner state: A manifestation of nonlocal effects in superconductors

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