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Romijn, J.; Klapwijk, T. M.; Renne, M. J.; Mooij, J. E. |
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Critical pair-breaking current in superconducting aluminum strips far below Tc |
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1982 |
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Phys. Rev. B |
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Phys. Rev. B |
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26 |
Issue |
7 |
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3648-3655 |
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superconducting nanowire |
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Critical currents of narrow, thin aluminum strips have been measured as a function of temperature. For the smallest samples uniformity of the current density is obtained over a large temperature range. Hence the intrinsic limit on the currentcarrying capacity of the superconductor was measured outside the Ginzburg-Landau -regime. The experimental values are compared with recent theoretical predictions by Kupriyanov and Lukichev. An approximate method of solving their equations is given, the results of which agree with the exact solution to within 1%. Experimental data are in excellent agreement with theoretical predictions. The absolute values agree if one assumes a Ïl value of 4×10–16 Ωm2 with vF=1.3×106 m/s. This value for Ïl is the same as that found from measurements of the anomalous skin effect but differs from values extracted from size-effect-limited resistivity. |
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Recommended by Klapwijk |
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925 |
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Usadel, Klaus D. |
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Title |
Generalized diffusion equation for superconducting alloys |
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1970 |
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Phys. Rev. Lett. |
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Phys. Rev. Lett. |
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25 |
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8 |
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507 |
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Eilenberger's transportlike equations for a superconductor of type II can be simplified very much in the dirty limit. In this limit a diffusionlike equation is derived which is the generalization of the de Gennes-Maki theory for dirty superconductors to arbitrary values of the order parameter. |
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920 |
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Bardeen, J; Mattis, D. C. |
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Title |
Theory of the anomalous skin effect in normal and superconducting metals |
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1958 |
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Phys. Rev. |
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Phys. Rev. |
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111 |
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2 |
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412-417 |
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local dirty limit, complex conductivity, HEB |
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Chambers' expression for the current density in a normal metal in which the electric field varies over a mean free path is derived from a quantum approach in which use is made of the density matrix in the presence of scattering centers but in the absence of the field. An approximate expression used for the latter is shown to reduce to one derived by Kohn and Luttinger for the case of weak scattering. A general space-and time-varying electromagnetic interaction is treated by first-order perturbation theory. The method is applied to superconductors, and a general expression derived for the kernel of the Pippard integral for fields of arbitrary frequency. The expressions derived can also be used to discuss absorption of electromagnetic radiation in thin superconducting films. |
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937 |
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Bardeen, J.; Cooper, L. N.; Schrieffer, J. R. |
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Microscopic theory of superconductivity |
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1957 |
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Phys. Rev. |
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Phys. Rev. |
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106 |
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162-164 |
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BCS |
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900 |
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Bardeen, J.; Cooper, L. N.; Schrieffer, J. R. |
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Title |
Theory of superconductivity |
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1957 |
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Phys. Rev. |
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Phys. Rev. |
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108 |
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5 |
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1175-1204 |
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BCS |
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A theory of superconductivity is presented, based on the fact that the interaction between electrons resulting from virtual exchange of phonons is attractive when the energy difference between the electrons states involved is less than the phonon energy, â„<8f>ω. It is favorable to form a superconducting phase when this attractive interaction dominates the repulsive screened Coulomb interaction. The normal phase is described by the Bloch individual-particle model. The ground state of a superconductor, formed from a linear combination of normal state configurations in which electrons are virtually excited in pairs of opposite spin and momentum, is lower in energy than the normal state by amount proportional to an average (â„<8f>ω)2, consistent with the isotope effect. A mutually orthogonal set of excited states in one-to-one correspondence with those of the normal phase is obtained by specifying occupation of certain Bloch states and by using the rest to form a linear combination of virtual pair configurations. The theory yields a second-order phase transition and a Meissner effect in the form suggested by Pippard. Calculated values of specific heats and penetration depths and their temperature variation are in good agreement with experiment. There is an energy gap for individual-particle excitations which decreases from about 3.5kTc at T=0°K to zero at Tc. Tables of matrix elements of single-particle operators between the excited-state superconducting wave functions, useful for perturbation expansions and calculations of transition probabilities, are given. |
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