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

### Submission summary

 As Contributors: Petter Säterskog Arxiv Link: http://arxiv.org/abs/1711.04338v2 (pdf) Date accepted: 2018-03-07 Date submitted: 2018-02-06 01:00 Submitted by: Säterskog, Petter Submitted to: SciPost Physics Academic field: Physics Specialties: Condensed Matter Physics - Theory High-Energy Physics - Theory Mathematical Physics Approach: Theoretical

### 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 $N_f\rightarrow0$ 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.

### Ontology / Topics

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Published as SciPost Phys. 4, 015 (2018)

### List of changes

Added missing definition of $r$ for Eq. 39.

### Submission & Refereeing History

Resubmission 1711.04338v2 on 6 February 2018
Submission 1711.04338v1 on 21 November 2017

## Reports on this Submission

### Anonymous Report 1 on 2018-2-15 (Invited Report)

• Cite as: Anonymous, Report on arXiv:1711.04338v2, delivered 2018-02-15, doi: 10.21468/SciPost.Report.345

### Report

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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