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Structure and properties of the dissipative phase-slip state in narrow superconducting filaments with and without inhomogeneities

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Abstract

Using the generalized time-dependent Ginzburg-Landau equations for dirty superconductors nearT c we study the oscillatory phase-slip solutions in quasione-dimensional superconductors at arbitrary pair-breaking parameter and calculate their properties. For small pair breaking (“low temperature”), a static approximation can be used, which allows analytic evaluation of most quantities and connects the theory to simple models. The influence of two types of short weak regions that pin the phase slips is considered. They tend to decrease the differential resistance and influence its temperature dependence.

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Kramer, L., Rangel, R. Structure and properties of the dissipative phase-slip state in narrow superconducting filaments with and without inhomogeneities. J Low Temp Phys 57, 391–414 (1984). https://doi.org/10.1007/BF00681200

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