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Dec 20, 2017 at 1:09 comment added Shane P Kelly Yes, the energy gap is the energy needed to "break" a cooper pair, if this is larger, it's harder to break a pair (which would increase scattering/dissipation). The small coherence length is more a by product of the a cooper-pairs being tightly bound. For example, you could also decrease the coherence length by adding disorder and decreasing the mean free path of an electron. But this doesn't necessarily change the energy needed to break a pair. Basically there are many other factors that determine the strength of the superconductor, and the coherence length is only an indicator.
Dec 19, 2017 at 22:47 comment added SuperCiocia Does higher energy gap mean more stable superconductor? Against external perturbations I mean. So in this sense small coherence length is good I guess?
Dec 19, 2017 at 22:34 comment added Shane P Kelly depends on what you mean by good. but yea, a superconductor with a higher energy gap (the energy need to break a cooper pair and excite an electron) will have a smaller coherence length.
Dec 19, 2017 at 22:23 comment added SuperCiocia So for a good superconductor you want a small coherence length?
Dec 19, 2017 at 17:36 comment added Shane P Kelly Yes, This is why at the transition from superconductivity to a normal metal, the coherence length diverges. Also why if you increase the fermi velocity, it increases( more kinetic energy to over come in "binding" cooper pairs).
Dec 19, 2017 at 16:43 comment added SuperCiocia Sorry but it the coherence length is the region of unpaired electrons, higher coherence length means more unpaired electrons. Doesn’t this spoil superconductivity as it needs Cooper pairs?
Dec 19, 2017 at 15:39 history answered Shane P Kelly CC BY-SA 3.0