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.

minor revision, journal version

References in corpus (16)

• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Are non-Fermi-liquids stable to Cooper pairing?
• Critical fermi surfaces and non-fermi liquid metals
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
• Renormalization group theory of nematic ordering in d-wave superconductors
• D-wave correlated Critical Bose Liquids in two dimensions
• Theory of the nodal nematic quantum phase transition in superconductors
• Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
• Quasi-Local Strange Metal
• Renormalization group for phases with broken discrete symmetry near quantum critical points
• Anisotropic Non-Fermi Liquids
• Pairing in half-filled Landau level

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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
• Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moiré flatbands