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The extent to which quantum criticality drives the physics of iron pnictidesis a central question in the field. Earlier theoretical considerations werebased on an effective field theory, and the proposed realization in P-dopediron arsenides has received extensive experimental evidence. To connect thequantum critical behavior with the underlying electronic physics, it isimportant to analyze it within microscopic models. Here, we do so for amulti-orbital model containing both Hubbard and Hund's interactions, by avariational Monte Carlo method based on Jastrow-Slater wave functions thatallow for a non-perturbative treatment of electron correlations. We find strongevidence for the existence of a unique quantum critical point, where bothnematic and $(\pi,0)$ antiferromagnetic orders develop together, in thebad-metal regime of the phase diagram. Implications of our results for theiron-based superconductivity are discussed.

Nematic and Antiferromagnetic Quantum Criticality in a Multi-Orbital Hubbard Model for Iron Pnictides