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

by Petter Säterskog

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Submission summary

As Contributors: Petter Säterskog
Arxiv Link: (pdf)
Date accepted: 2018-03-07
Date submitted: 2018-02-06 01:00
Submitted by: Säterskog, Petter
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical


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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Friedel oscillations Quantum critical metals Quantum criticality

Published as SciPost Phys. 4, 015 (2018)

List of changes

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

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


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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