Since the discovery of high temperature superconductivity in the cuprates,
it has been speculated that their pairing mechanism is due to magnetic interactions. However, this was never proven. Such a proof would require an experiment similar to the isotope effect in metallic superconductors, namely, a measurement of Tc versus the in-plane super-exchange J, with no other structural changes. We have done such an experiment and found that Tc = c J_f n_s, where c~1, f is a super- conducting family index, and n_s is the superconducting carrier densi- ty. This is an experimental demonstration that pairing in the cuprates stems from magnetic interactions.
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