Magnetic screening in proximity-coupled superconductor/normal-metal bilayers

Pambianchi, Michael S.; Mao, Jian; Anlage, Steven M.

doi:10.1103/physrevb.50.13659

Cited by 21 publications

(27 citation statements)

References 15 publications

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“…Recently there have been several experimental 1-5 and theoretical 6,7 studies of magnetic penetration depth in conventional layered superconductors ͑bilayers or multilayers͒. Experimental results from the microwave surface impedance measurements, 1-3 the two-coil mutual inductance measurements, 4 and the ac susceptibility measurements 5 indicated that the (T) curve can have a linear or sublinear temperature dependence or obey a power law, which are different from the behavior of the bulk homogeneous superconductors.…”

Section: Introductionmentioning

confidence: 95%

“…[1][2][3] An alternative treatment, applicable to the evaluation for the SSЈ bilayers and multilayers at the microscopic level, has been developed 6 based on Eilenberger-Usadel's quasiclassical equations. 9,10 In contrast to the approach of Pambianchi et al, 7 which is strictly applicable near the transition temperature T c of the bilayer system, the microscopic theory provides a description over the entire temperature range below T c . Most of the parameters required for the evaluation in the theory, like the layer thicknesses d S,S Ј , resistivities S,S Ј , and transition temperatures T c,S,S Ј , can be known directly from experiments.…”

Section: Introductionmentioning

confidence: 98%

“…4,6,7 In a phenomenological treatment, Pambianchi et al 7 proposed to evaluate in SSЈ bilayers utilizing a space-and temperature-dependent order parameter ⌬(z,T) (S and SЈ are usually different superconductors and in this work we shall assume that T c,S ϾT c,S Ј у0). In one of their models, they assumed that in the SЈ layer, the superconducting order parameter can be described by ⌬ S Ј (z,T) ϰ⌬ S (T)exp(ϪK S Ј z) where ⌬ S (T) is the BCS potential and is considered to be space-independent.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic penetration depth in Nb/Al and Nb/Cu superconducting proximity bilayers

et al. 2000

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Magnetic penetration depth in Nb/Al and Nb/Cu superconducting bilayers, its absolute values and temperature dependencies under the variations of material and sample parameters are systematically investigated. Measurements of are performed by using the two-coil mutual inductance technique and the results are compared with a recent microscopic theory ͓Phys. Rev. B 59, 14 630 ͑1999͔͒ based upon Eilenberger-Usadel's quasiclassical equations of superconductivity. Our results show that the (T) characteristics at low temperatures usually follow a power law, or a linear temperature dependence, if the sublayer thicknesses are less than several times of their coherence length and the interface resistance is small. A two-gap, steplike feature in the (T) curve of the Nb/Al bilayer system will develop around the sublayer transition temperature of Al when the interface resistance increases or when the Al layer thickness becomes much larger than its coherence length. These results can be well described within the framework of the microscopic theory.

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Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Magnetic penetration depth in Nb/Al and Nb/Cu superconducting proximity bilayers

et al. 2000

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“…Next, we compute both in-plane and out-of-plane penetration depths and present the numerical results, which are then compared with the phenomenological model of Pambianchi, Mao, and Anlage. 7 Finally, a brief discussion in connection with the highly anisotropic superconducting multilayers and high-T c cuprates is presented.…”

Section: Introductionmentioning

confidence: 99%

Penetration depth in conventional layered superconductors: A proximity-effect model

Zhao

Yang

1999

Phys. Rev. B

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We propose a theory for the penetration depth (T) of superconducting bilayers and multilayers, which are composed of two dissimilar superconducting layers S and SЈ with arbitrary coupling strength, and with the S layer thickness (T c,S ϾT c,S Ј ) less than or comparable to its coherence length. Within the framework of the theory, we discuss the influences of the SЈ layer parameters, and of the coupling strength between the SЈ and S layers. We show that their variations lead to a variety of temperature dependences of (T). Many of the basic features observed experimentally in conventional SSЈ structures have been reproduced. The theory begins with an extension of the proximity-effect model developed by Golubov et al. ͓Phys. Rev. B 51, 1073 ͑1995͔͒, which is based on the Usadel equations. It therefore applies to the dirty SSЈ system, and provides a description of the superconducting properties over the entire temperature range below T c , the transition temperature of the system. We shall compare our model with a phenomenological model developed within the proximity-effect theory which is applicable near T c . A brief discussion on the highly anisotropic systems in connection with the intrinsically layered high-T c superconductors is also presented.

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“…However other possible interpretations have been raised, both theoretically and experimentally, e.g. a possible proximity effect with a normal metal layer [6,9], or the sensitivity of a conventional BCS type λ(T ) to the oxygenation of the samples [10,11]. Several reasons for the discrepancy observed between thin films and single crystals may be invoked: (i) within the framework of d-wave pairing, scattering due to impurities or defects may change the linear temperature dependence into a quadratic one in thin films [12], where such defects would be more numerous.…”

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confidence: 99%

Linear temperature variation of the penetration depth in YBa ₂ Cu ₃ O _{7 − δ} thin films

Vaulchier¹,

Vieren²,

Guldner³

et al. 1996

Europhys. Lett.

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We have measured the penetration depth λ(T ) on YBa 2 Cu 3 O 7 thin films from transmission at 120, 330 and 510 GHz, between 5 and 50 K. Our data yield simultaneously the absolute value and the temperature dependence of λ(T ). In high quality films λ(T ) exhibits the same linear temperature dependence as single crystals, showing its intrinsic nature, and λ(0) = 1750Å. In a lower quality one, the more usual T 2 dependence is found, and λ(0) = 3600Å. This suggests that the T 2 variation is of extrinsic origin. Our results put the d-wave like interpretation in a much better position.

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Magnetic screening in proximity-coupled superconductor/normal-metal bilayers

Cited by 21 publications

References 15 publications

Magnetic penetration depth in Nb/Al and Nb/Cu superconducting proximity bilayers

Magnetic penetration depth in Nb/Al and Nb/Cu superconducting proximity bilayers

Penetration depth in conventional layered superconductors: A proximity-effect model

Linear temperature variation of the penetration depth in YBa ₂ Cu ₃ O _{7 − δ} thin films

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Magnetic screening in proximity-coupled superconductor/normal-metal bilayers

Cited by 21 publications

References 15 publications

Magnetic penetration depth in Nb/Al and Nb/Cu superconducting proximity bilayers

Magnetic penetration depth in Nb/Al and Nb/Cu superconducting proximity bilayers

Penetration depth in conventional layered superconductors: A proximity-effect model

Linear temperature variation of the penetration depth in YBa 2 Cu 3 O 7 − δ thin films

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Linear temperature variation of the penetration depth in YBa ₂ Cu ₃ O _{7 − δ} thin films