We report a thermodynamic and transport study of the phase diagram of CeRh1-xIrxIn5. Bulk superconductivity is observed over a broad range of doping, 0.31, including a substantial range (0.3<0.6) over which it coexists with magnetic order (which is observed for 0 less than or equal tox<0.6). The anomalous transition to zero resistance that is observed in CeIrIn5 is robust against Rh substitution: the bulk T-c in CeRh0.5Ir0.5In5 is more than double that of CeIrIn5, whereas the zero-resistance transition temperature is relatively unchanged for 0.5<1.
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