How Does a High Magnetic Field Break Superconductivity?

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cragar
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When the B field gets too high it breaks the superconducting state. And then the B field can exist inside the conductor. When the field increases to point where it breaks the state is this because the cooper pairs flowing near the surface experience a force on their spin and then break them apart.
The force would break them apart because the spins are opposite on the electrons in the cooper pairs. If it breaks the cooper pairs at the surface does it just do this layer by layer until the state is broken? I am talking about an external B field acting on the superconductor.
 
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I didn't think that my question was that difficult, I guess I can start looking at papers about superconductors relating to this topic.
 
Spin polarization is certainly important although there are also orbital magnetic momenta involved.
I think this layer by layer mechanism is only effective in type 1 superconductors. In type 2 conductors, more and more field tubes form inside the superconductor.