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A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$
by Petter Säterskog
This Submission thread is now published as
|As Contributors:||Petter Säterskog|
|Arxiv Link:||http://arxiv.org/abs/1711.04338v2 (pdf)|
|Date submitted:||2018-02-06 01:00|
|Submitted by:||Säterskog, Petter|
|Submitted to:||SciPost Physics|
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.
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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.
Submission & Refereeing History
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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.