Structure of Vortex Lines in Pure Superconductors

Bardeen, John; Kümmel, Reiner; Jacobs, A. E.; Tewordt, L.

doi:10.1103/physrev.187.556

Cited by 273 publications

(186 citation statements)

References 20 publications

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“…Analytical solutions for the singly quantized vortex also exist. 6,7 We will discuss an analytical solution that is valid for all ͑integer͒ values of and that emphasizes the key role of the winding number.…”

Section: Isolated S-wave Vortexmentioning

confidence: 99%

“…Furthermore, the strong dependence of the vortex-core energy spectrum on the applied magnetic field opens interesting perspectives for applications. 5 In s-wave superconductors the vortex-core bound states were predicted long ago, based on approximate solutions of the microscopic Bogoliubov-de Gennes ͑BdG͒ equations, 6,7 and subsequently observed in NbSe 2 using scanning tunneling spectroscopy. 8 The early analytical results were confirmed by a complete numerical solution of the BdG equations.…”

Section: Introductionmentioning

confidence: 99%

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Vorticity and vortex-core states in type-II superconductors

Berthod

2005

Phys. Rev. B

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The origin of the vortex-core states in s-wave and d x 2 −y 2-wave superconductors is investigated by means of some selected numerical experiments. By relaxing the self-consistency condition in the Bogoliubov-de Gennes equations and tuning the order parameter in the core region, it is shown that the suppression of the superfluid density in the core is not a necessary condition for the core states to form. This excludes "potential well" types of interpretations for the core states. The topological defect in the phase of the order parameter, however, plays a crucial role. This fact is explained by considering the effect of the vortex supercurrent on the Bogoliubov quasiparticles and illustrated by comparing conventional vortices to multiply quantized vortices and vortexantivortex pairs. The core states are also found to be extremely robust against random disorder of the phase.

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Section: Isolated S-wave Vortexmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vorticity and vortex-core states in type-II superconductors

Berthod

2005

Phys. Rev. B

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“…To apply this relation we need to know how to obtain F from the BdG equation. The required formula was derived by Bardeen et al [19] from the Greens function expression for F . An alternative derivation, directly from the BdG equation, has been given in Ref.…”

Section: Supercurrent From Excitation Spectrummentioning

confidence: 99%

Three “Universal” Mesoscopic Josephson Effects

Beenakker

1992

Springer Series in Solid-State Sciences

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Abstract. A recent theory is reviewed for the sample-to-sample fluctuations in the critical current of a Josephson junction consisting of a disordered point contact or microbridge. The theory is based on a relation between the supercurrent and the scattering matrix in the normal state. The root-mean-square amplitude rms I c of the critical current I c at zero temperature is given by rms I c ≃ e∆ 0 /h, up to a numerical coefficient of order unity (∆ 0 is the energy gap). This is the superconducting analogue of "Universal Conductance Fluctuations" in the normal state. The theory can also be applied to a ballistic point contact, where it yields the analogue of the quantized conductance, and to a quantum dot, where it describes supercurrent resonances. All three phenomena provide a measurement of the supercurrent unit e∆ 0 /h, and are "universal" through the absence of a dependence on junction parameters.

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“…Following [14] we put x = √ r 2 − b 2 , b = −µ/k r and define the trajectories dx = ±ds ± sin θ, dz = ds ± cos θ forŵ (±) , respectively, where k z = k F cos θ and ds ± is the distance along the corresponding trajectory. For a point (x, z) on the trajectory z = z 0 ± x cot θ we obtain…”

mentioning

confidence: 99%

Single-electron transport through the vortex core levels in clean superconductors

2003

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We develop a microscopic theory of single-electron transport in N-S-N hybrid structures in the presence of applied magnetic field introducing vortex lines in a superconductor layer. We show that vortex cores in a thick and clean superconducting layer are similar to mesoscopic conducting channels where the bound core states play the role of transverse modes. The transport through not very thick layers is governed by another mechanism, namely by resonance tunneling via vortex core levels. We apply our method to calculation of the thermal conductance along the magnetic field.

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Structure of Vortex Lines in Pure Superconductors

Cited by 273 publications

References 20 publications

Vorticity and vortex-core states in type-II superconductors

Vorticity and vortex-core states in type-II superconductors

Three “Universal” Mesoscopic Josephson Effects

Single-electron transport through the vortex core levels in clean superconductors

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