A Framework for Studying a Quantum Critical Metal in the Limit $N_f\to 0$

Abstract

We study a model in 1+2 dimensions composed of a spherical Fermi surface of $N_f$ flavors of fermions coupled to a massless scalar. We present a framework to non-perturbatively calculate general fermion $n$-point functions of this theory in the limit $N_f\to 0$ followed by $k_F\to \infty$ where $k_F$ sets both the size and curvature of the Fermi surface. Using this framework we calculate the zero-temperature fermion density-density correlation function in real space and find an exponential decay of Friedel oscillations.

21 pages

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Cited by in corpus (3)

• Monte Carlo Studies of Quantum Critical Metals
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Instabilities of quantum critical metals in the limit $N_f\to 0$