New superconductors: from granular to high Tc by Research Fellow in Historical Linguistics Guy Deutscher
By Research Fellow in Historical Linguistics Guy Deutscher
How new are the excessive Tc superconductors, in comparison to the normal low Tc ones? In what feel are those oxides various from typical metals of their common country? How diverse is the mechanism for top Tc superconductivity from the well known electron-phonon interplay that explains so good superconductivity in metals and alloys? What are the consequences of the hot positive aspects of the excessive Tc oxides for his or her useful purposes? This publication goals to provide a few solutions to these questions, drawing quite on similarities among the excessive Tc oxides and granular superconductors, which additionally current a greatest in their severe temperature close to the metal-insulator transition.
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Additional resources for New superconductors: from granular to high Tc
1 Free energies As in all phase transitions, there is a loss of entropy AS and a gain in free energy AF between the high temperature normal state and the low temperature superconducting phase. AS and A F are the primary characteristics of the transition. Here, we are only considering the electronic component, assuming that the ions dynamics is basically not affected by this transition.
Because the phase gradient must be finite — it cannot exceed | — the amplitude of ip must be zero at the center of the vortex. It will recover over the length £, as in the boundary problem that we have considered above (Fig. 3). The region of size £ where the amplitude of ip is depressed is called the core of the vortex, while the currents around the core circulate within a radius A. Hn is the field up to which the vortex phase is stable. From Eq. 2. 3: Circulating currents around a vortex impose a phase difference of IT between opposite points on a circle surrounding the center.
2 Experimental methods for the determination of the coherence length If the superfluid density is small, it is possible to write the free energy of the condensate as a series development of that density. In their theory of superconductivity, Ginzburg and Landau (GL) introduced in that development an additional term that takes into account possible variations in space of the condensate wave function — both its amplitude and its phase: W ) = Fn + aM2 + ^ | 4 + ^ •*TT 2 e A . / This development is based on the experimental evidence that the transition at Tc is a second order one.