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| I will show that unlike common belief, the superconductor gap is not of the order of the Cooper pair binding energy but far larger. Difference comes from many-body effects induced by Pauli blocking between broken and unbroken pairs. This Pauli blocking, which makes the Cooper pair binding energy LINEARLY DECREASE with pair number from the dilute to the dense regime, in fact rules the whole many-body physics of these composite bosons: Due to the very peculiar form of the BCS potential, Cooper pairs feel each other through the Pauli exclusion principle only. This is why, unlike excitons, they can stay bound even with strong overlap. |
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