Superconductivity of Microscopic Tin Filaments

Lutes, O. S.

doi:10.1103/physrev.105.1451

Cited by 35 publications

(21 citation statements)

References 20 publications

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“…According to the Ginzburg-Landau (GL) theory 13,14 , the critical magnetic field is expected to increase as 1/D in the Meissner state, with D the diameter of the mesoscopic wire. Furthermore, the superconducting-tonormal phase transition in a magnetic field is of second order for such mesoscopic wires while being of first order in bulk (for type I superconductors) 9 .…”

Section: Introductionmentioning

confidence: 99%

Magnetic-field induced quantum-size cascades in superconducting nanowires

2008

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In high-quality nanowires, quantum confinement of the transverse electron motion splits the band of single-electron states in a series of subbands. This changes in a qualitative way the scenario of the magnetic-field induced superconductor-to-normal transition. We numerically solve the Bogoliubovde Gennes equations for a clean metallic cylindrical nanowire at zero temperature in a parallel magnetic field and find that for diameters D 10 ÷ 15 nm, this transition occurs as a cascade of subsequent jumps in the order parameter (this is opposed to the smooth second-order phase transition in the mesoscopic regime). Each jump is associated with the depairing of electrons in one of the single-electron subbands. As a set of subbands contribute to the order parameter, the depairing process occurs as a cascade of jumps. We find pronounced quantum-size oscillations of the critical magnetic field with giant resonant enhancements. In addition to these orbital effects, the paramagnetic breakdown of Cooper pairing also contributes but only for smaller diameters, i. e., D 5 nm.

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Section: Introductionmentioning

confidence: 99%

Magnetic-field induced quantum-size cascades in superconducting nanowires

2008

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“…6 The first experimental evidence for an increase of the critical fields in small superconducting specimens comes from resistance measurements of Pontius 7 on lead wires (f in the range 5-40 mm). Experimentally, it has been shown that Eq.…”

Section: Introductionmentioning

confidence: 99%

“…Experimentally, it has been shown that Eq. 0.7 mm), 6 and colloidal particles (f ϳ 0.02-0.1 mm), 9 enabling one to determine the field penetration depth and its temperature dependence. 6 The first experimental evidence for an increase of the critical fields in small superconducting specimens comes from resistance measurements of Pontius 7 on lead wires (f in the range 5-40 mm).…”

Section: Introductionmentioning

confidence: 99%

Fabrication and properties of arrays of superconducting nanowires

Dubois

Michel²,

Eymery³

et al. 1999

J. Mater. Res.

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We report on the fabrication and structural characterization of arrays of superconducting nanowires by electroplating lead into the nanopores of track-etched polymer membranes. The diameters of the lead nanowires range from 400 down to 70 nm, whereas their length is about 20 mm. Large enhancement of the critical field has been observed in good agreement with the Ginsburg-Landau-Silin theory. By comparing the predicted critical field enhancement for thin cylinders with experimental results, we have extracted the effective penetration depth. The dependence of the effective penetration depth and electron mean free path on the wire diameter is also discussed.

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“…Work on single crystal mesoscopic type-I samples has been largely restricted to resistance measurements of whiskers [4,5], where added voltage contacts are known to strongly perturb results [6] and distinguishing between Meissner and intermediate states is challenging. In order to bridge the bulk [R ) ðTÞ] and nanoscale [R ( ðTÞ] regimes, we have exploited recent breakthroughs in electrocrystallization on B-doped diamond electrodes [7], which allow the controllable growth of single crystal -Sn rods with (sub)micrometer dimensions.…”

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confidence: 99%

Magnetization Measurements and Ginzburg-Landau Simulations of Micron-Sizeβ-Tin Samples: Evidence for an Unusual Critical Behavior of Mesoscopic Type-I Superconductors

et al. 2012

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We describe investigations of the largely unexplored field of mesoscopic type-I superconductors. Micromagnetometry and 3D Ginzburg-Landau simulations of our single crystal β-tin samples in this regime reveal size- and temperature-dependent supercritical fields whose behavior is radically different from the bulk critical field H(c)(B). We find that complete suppression of the intermediate state in medium-size samples can result in a surprising reduction of the critical field significantly below H(c)(B). We also reveal an evolution of the superconducting-to-normal phase transition from the expected irreversible first order at low temperatures through the previously unobserved reversible first-order to a second-order transition close to T(c), where the critical field can be many times larger than H(c)(B). Finally, we have identified striking correlations between the mesoscopic H(c3) for nucleation of surface superconductivity and the thermodynamic H(c) near T(c). All these observations are entirely unexpected in the conventional type-I picture.

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Superconductivity of Microscopic Tin Filaments

Cited by 35 publications

References 20 publications

Magnetic-field induced quantum-size cascades in superconducting nanowires

Magnetic-field induced quantum-size cascades in superconducting nanowires

Fabrication and properties of arrays of superconducting nanowires

Magnetization Measurements and Ginzburg-Landau Simulations of Micron-Sizeβ-Tin Samples: Evidence for an Unusual Critical Behavior of Mesoscopic Type-I Superconductors

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