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It has long been a challenge to describe the origin of unconventionalsuperconductivity. The two known examples with high Tc, based on iron andcopper, have very different electronic structures, while other materials withsimilar electronic structure may not show superconductivity at all. In thispaper, the authors show that by using high accuracy diffusion Monte Carlocalculations, the unconventional superconductors of both high Tc types form acluster at intermediate spin-charge coupling. The spin-charge coupling mayserve as a normal state marker for unconventional superconductivity, andprovides evidence that unconventional superconductivity is due to interactionof charge with local spins in materials.

Computation of the unifying thread in high temperature superconductors from first principles quantum Monte Carlo