SciPost logo

SciPost Submission Page

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: 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

See full Ontology or Topics database.

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

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.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Login to report or comment