UV/IR Mixing In Non-Fermi Liquids: Higher-Loop Corrections In Different Energy Ranges

Abstract

We revisit the Ising-nematic quantum critical point with an $m$-dimensional Fermi surface by applying a dimensional regularization scheme, introduced in Phys. Rev. B 92, 035141 (2015). We compute the contribution from two-loop and three-loop diagrams in the intermediate energy range controlled by a crossover scale. We find that for $m=2$, the corrections continue to be one-loop exact for both the infrared and intermediate energy regimes.

arXiv commentminor revision, journal version

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• Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
• Scaling behaviour and superconducting instability in anisotropic non-Fermi liquids
• Non-Fermi liquid at the FFLO quantum critical point
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• Robust quantum transport at particle-hole symmetry
• Search for plasmons in isotropic Luttinger semimetals
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• Stable non-Fermi liquid fixed point at the onset of incommensurate $2k_F$ charge density wave order
• Induction of non-Fermi liquids by critical cavity photons at the onset of superradiance
• Instabilities of quantum critical metals in the limit $N_f\to 0$
• Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moiré flatbands