Charge Conservation and Chemical Potentials in Time-Dependent Ginzburg-Landau Theory

Rieger, Thomas; Scalapino, D. J.; Mercereau, J. E.

doi:10.1103/physrevlett.27.1787

Cited by 94 publications

(27 citation statements)

References 3 publications

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“…2, curves 2-5, the amplitudes of the threshold solutions are plotted against j for various values of y. For the special case y = 0 our result coincides with the result of Kramer and Baratoff 9. We find that the amplitude of the solutions decreases, i.e., the stability of the normal state becomes "…”

supporting

confidence: 71%

Nonequilibrium theory of dirty, current-carrying superconductors: phase-slip oscillators in narrow filaments near T c

1981

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supporting

confidence: 71%

Nonequilibrium theory of dirty, current-carrying superconductors: phase-slip oscillators in narrow filaments near T c

1981

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“…1 and 2͑b͒ for a discrete model͔. This is related to the branch imbalance relaxation time, 21,22 first measured by Clarke 23 in Sn wires. Before plunging to the analysis, note that earlier works on similar models considered only the perfect normal fluidsuperfluid coupling, ⌼ = ϱ case, and found a superconducting-metal transition tuned by the resistance per length, [11][12][13]24 as did Refs.…”

Section: A Two Fluid Modelmentioning

confidence: 99%

“…[3][4][5] Fluctuations of the superconducting phase angle, i.e., phase slips, induce this transition; they also control the onset of superconductivity in long thin wires and Josephson junction chains, [6][7][8][9][10] where the competition between local charging energy, which creates phase slips, and the superconducting stiffness tunes the transition. [11][12][13] Our focus is on the experiments on Mo 79 Ge 21 ͑amor-phous͒ nanowires as narrow as 5-15 nm. Resistance vs temperature curves showed a transition between superconducting ͑resistance decreasing upon cooling͒ and normal, or weakly insulating, ͑resistance nondecreasing upon cooling͒ behaviors.…”

Section: Introductionmentioning

confidence: 99%

Superconductor to normal-metal transition in finite-length nanowires: Phenomenological model

2009

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In this paper we discuss the interplay of quantum fluctuations and dissipation in uniform superconducting nanowires. We consider a phenomenological model with superconducting and normal components and a finite equilibration rate between these two fluids. We find that phase-slip dipoles proliferate in the wire and decouple the two fluids within its bulk. This implies that the normal fluid only couples to the superconductor fluid through the leads at the edges of the wire, and the local dissipation is unimportant. Therefore, while long wires have a superconductor-metal transition tuned by local properties of the superconducting fluid, short wires have a transition when the total resistance is R tot = R Q = h / 4e 2 .

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“…24 for the review.). The imbalance can be achieved either by injection of a dissipative current to the superconductor 25,26,27,28 or by applying a temperature gradient in the presence of a superconducting flow 29,30,31 (Pethick-Smith effect). The relaxation of the charge imbalance is determined primarily by the electron-phonon interaction.…”

mentioning

confidence: 99%

Thermopower oscillations in mesoscopic Andreev interferometers

Titov

2008

Phys. Rev. B

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Anomalously large thermopower of mesoscopic normal-metal/superconductor interferometers has been investigated by Chandrasekhar et al. It was shown that, depending on the geometry of the interferometer, the thermopower is either symmetric or antisymmetric periodic function of the magnetic flux. We develop a detailed theory of the observed thermoelectric phenomena in the framework of the non-equilibrium quasiclassical approach. In particular we provide, for the first time, a possible explanation of the symmetric thermopower oscillations. This effect is attributed to the electron-hole symmetry violation that originates in the steady-state charge imbalance between different arms of the interferometer. Our theory can be tested by an additional control over the charge imbalance in a modified setup geometry. We also predict a sign reversal behavior of the thermopower with increasing temperature that is consistent with the experiments by Parsons et al.Comment: 13 pages, 7 figures, final versio

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Charge Conservation and Chemical Potentials in Time-Dependent Ginzburg-Landau Theory

Cited by 94 publications

References 3 publications

Nonequilibrium theory of dirty, current-carrying superconductors: phase-slip oscillators in narrow filaments near T c

Nonequilibrium theory of dirty, current-carrying superconductors: phase-slip oscillators in narrow filaments near T c

Superconductor to normal-metal transition in finite-length nanowires: Phenomenological model

Thermopower oscillations in mesoscopic Andreev interferometers

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