# Emergence of a control parameter for the antiferromagnetic quantum critical metal

@article{Lunts2017EmergenceOA, title={Emergence of a control parameter for the antiferromagnetic quantum critical metal}, author={Peter Lunts and Andres Schlief and Sung-Sik Lee}, journal={Physical Review B}, year={2017}, volume={95} }

We study the antiferromagnetic quantum critical metal in $3-\epsilon$ space dimensions by extending the earlier one-loop analysis [Sur and Lee, Phys. Rev. B 91, 125136 (2015)] to higher-loop orders. We show that the $\epsilon$-expansion is not organized by the standard loop expansion, and a two-loop graph becomes as important as one-loop graphs due to an infrared singularity caused by an emergent quasilocality. This qualitatively changes the nature of the infrared (IR) fixed point, and the… CONTINUE READING

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