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Cañizares, Javier Sánchez; Sols, Fernando

doi:10.1023/a:1004896902269

Cited by 13 publications

(21 citation statements)

References 29 publications

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“…The remaining deviations between theory and experiment suggest, most likely, that the temperature of the reservoirs deviates from the bath temperature for higher driving currents, as expected from Eq. (8). Figure 8(a) shows the differential conductance dI 13 /dV 13 of a tunnel probe, located at a distance of 320 nm (=2.4 ξ ) from the normal reservoir of a 4-μm-long wire (sample 3b).…”

Section: Two-state Analysis and Discussionmentioning

confidence: 99%

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Evanescent states and nonequilibrium in driven superconducting nanowires

et al. 2012

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We study the nonlinear response of current transport in a superconducting diffusive nanowire between normal reservoirs. We demonstrate theoretically and experimentally the existence of two different superconducting states appearing when the wire is driven out of equilibrium by an applied bias, called the global and bimodal superconducting states. The different states are identified by using two-probe measurements of the wire, and measurements of the local density of states with tunneling probes. The analysis is performed within the framework of the quasiclassical kinetic equations for diffusive superconductors.

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Section: Two-state Analysis and Discussionmentioning

confidence: 99%

“…In this paper, we report on an experimental and theoretical study of nonlinear electrical transport in a well-defined model system, 7,8 in which a superconducting wire is connected to two large normal contact pads (Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

Evanescent states and nonequilibrium in driven superconducting nanowires

et al. 2012

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“…As shown in Ref. [25], just before the first vortex entry ε min tends to zero in the clean (or moderately disordered ξ ) limit and remains finite ε min ∼ 0.3 (0) in the dirty limit [24][25][26]. Thus, in the most common dirty regime, the free energy difference δF between the states with an odd and even number of excess electrons in the island remains positive at low temperatures up to the first vortex entry and the parity effect in this case can survive the destructive influence of the magnetic field.…”

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confidence: 71%

Charge-vortex interplay in a superconducting Coulomb-blockaded island

et al. 2015

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“…This strong distortion of the quasiparticle spectrum is caused by the large values which v s acquires near the surface when the total current is high. 10,12 On the contrary, near the center of the wire, where v s is always small ͓see Fig. 2͑b͔͒, N(E) approaches the standard BCS form.…”

mentioning

confidence: 91%

“…The current density displays a peculiar behavior that can be approximately understood by noting that, in a quasi-one-dimensional wire, j is not a monotonous function of v s but instead displays a maximum. 2,10 Thus, when v s becomes very large, j no longer increases with v s but actually decreases. Translated to the threedimensional wire, the consequence is that, as a function of , j goes through a maximum near the surface.…”

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confidence: 99%

Nonlinear and nonlocal Meissner effect in superconducting wires

2001

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The structure of the Meissner effect in a current-carrying cylindrical wire with arbitrary disorder is studied following a numerical procedure that is exact within the quasiclassical approximation. A distribution of current is found that is nonmonotonous as a function of the radial coordinate. For high currents, a robust gapless superconducting state develops at the surface of both clean and dirty leads. Our calculation provides a quantitative theory of the critical current in realistic wires.The Meissner effect is one of the most fundamental properties of the superconducting state. It originates from the existence of a dissipationless current density generated by the superfluid velocity distribution which characterizes the state of broken gauge symmetry. The current density j depends on the velocity v s through a complicated functional j͓v s ͔ which in general is nonlinear and nonlocal. 1 The Pippard approximation assumes a linear relation j(r) ϭ͐K(r,rЈ)•v s (rЈ)drЈ, which is valid for low enough superfluid velocities 2 and which in the local limit reduces to London's equation. A local yet nonlinear approximation to the full functional j͓v s ͔ is implemented, for instance, within the context of a Ginzburg-Landau description. 2 In this article, we present a fully nonlinear and nonlocal numerical study of the field and current distributions in a current-carrying cylindrical wire. Our calculation of the full functional j͓v s ͔ is exact within the framework of the quasiclassical approximation. We encounter a rich physical structure determined by the interplay between nonlinearity, nonlocality, and the global stability of the current configuration. In particular we find that, as a function of the distance to the central axis, the current density is nonmonotonous for currents close to the critical value, displaying a maximum near the surface. This configuration can be viewed as precursor of the intermediate state. 2 We also find that, for high total currents, the superfluid velocity near the surface acquires values so large that they cannot be realized in a quasi-onedimensional wire. In a three-dimensional wire, these large values of the superfluid velocity are possible because they are supported by the global stability of the current distribution. This causes a strong distortion of the local quasiparticle spectrum, which then develops a robust gapless form. The calculation presented here provides a quantitative theory of the critical current and represents an improvement over the phenomenological Silsbee's criterion. 3 We investigate the structure of currents and fields in a cylindrical wire made of a type I s-wave superconductor with an arbitrary degree of disorder due to nonmagnetic impurities. We have explored a broad range of temperatures and wire radii, and have found that the most interesting physics appears at low temperatures and for large wire radii ͑specifically, for radius RϾ 0 , 0 , where 0 and 0 are the zerotemperature coherence and penetration lengths͒. Thus we have focused on wires that are wide enough...

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Cited by 13 publications

References 29 publications

Evanescent states and nonequilibrium in driven superconducting nanowires

Evanescent states and nonequilibrium in driven superconducting nanowires

Charge-vortex interplay in a superconducting Coulomb-blockaded island

Nonlinear and nonlocal Meissner effect in superconducting wires

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