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388                           Superconductivity

                                        (a)






























                                        (b)






     Fig. 14.12
     (a) The lines of current flow for a
     two-dimensional type II
     superconductor. The magnetic field is
     maximum at the centres of the smaller
     vortices and minimum at the centres
     of the larger ones. (After Abrikosov,
     1957.) (b) Triangular vortex structure
     measured on the surface of a
     lead–indium rod at 1.1 K (after
     Essmann and Träuble, 1967).


                                     The density of superconducting electrons is zero at the maxima of the mag-
                                   netic field. Thus, in a somewhat simplified manner, we may say that there is a
                                   normal region surrounded by a supercurrent vortex. There are lots of vortices;
                                   their distance from each other is about 1 μm. The vortex structure determined
                                   experimentally by Essmann and Träuble is shown in Fig. 14.12(b). It has a
                                   triangular structure, somewhat different from that calculated by Abrikosov.
                                     The preceding treatment of the theories of superconductivity is not a well-
                                   balanced one, neither historically nor as far as their importance is concerned.
                                   A comprehensive review would be far too lengthy, so we have just tried to
                                   follow one line of thought.
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