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A Weyl semimetallic state with pairs of nondegenerate Dirac cones in threedimensions was recently predicted to occur in the antiferromagnetic state ofthe pyrochlore iridates. Here, we show that the THz optical conductivity andtemperature dependence of free carriers in the pyrochlore Eu2Ir2O7 match thepredictions for a Weyl semimetal and suggest novel Dirac liquid behavior. Theinterband optical conductivity vanishes continuously at low frequenciessignifying a semimetal. The metal-insulator transition at T_N = 110 K ismanifested in the Drude spectral weight, which is independent of temperature inthe metallic phase, and which decreases smoothly in the ordered phase. Thetemperature dependence of the free carrier weight below T_N is in goodagreement with theoretical predictions for a Dirac material. The data yield aFermi velocity v_F=4x10^7 cm/s, a logarithmic renormalization scaleLambda_L=600 K, and require a Fermi temperature of T_F=100 K associated withresidual unintentional doping to account for the low temperature opticalresponse and dc resistivity.

Optical evidence for a Weyl semimetal state in pyrochlore Eu2Ir2O7