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A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$

by Petter Säterskog

Submission summary

As Contributors: Petter Säterskog
Arxiv Link:
Date accepted: 2018-03-07
Date submitted: 2018-02-06
Submitted by: Säterskog, Petter
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Condensed Matter Physics - Theory


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 $N_f\rightarrow0$ followed by $k_F\rightarrow\infty$ 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.

Current status:

List of changes

Added comment about importance of searching for instabilities.
Added missing definition of $r$ for Eq. 39.

Invited Reports on this Submission

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Anonymous Report 1 on 2018-2-15


The author's response addressed the main points of criticism regarding the previous draft, clarifying the issues at hand. I can recommend publication in the present form.

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