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In several iron-arsenide superconductors there is strong evidence for a fully gapped superconducting state consistent with either a conventional s-wave symmetry or an unusual state where there the gap changes sign between the electron and hole Fermi surface sheets. Here we report measurements of the penetration depth in very clean samples of the related iron-phosphide superconductor, LaFePO, at temperatures down to 100 mK. We find that varies almost perfectly linearly with strongly suggesting the presence of gap nodes in this compound. Taken together with other data, this suggests the gap function may not be generic to all pnictide superconductors.

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