Let us cool a superconductor below its critical T in the absence of any external magnetic field. No electric current will flow. Though there is no current, are there cooper pairs ?
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2 Answers
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Yes, there are consequences to superconductivity even with no current imposed. In particular, a superconducting material has anomalously low thermal conductivity (in consequence of the electrons not coupling to lattice phonons), which implies there are Cooper pairs formed.
As a practical matter, it is unclear if one can make a true zero of magnetic field, though it would be very useful if (rather than just low field) total nullification were possible. Moving superconductor shields can create a good approximation of zero B field.
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Yes there are. A superconductor can have zero current.
