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

Säterskog, Petter

doi:10.21468/SciPostPhys.4.3.015

SciPost Physics

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

Petter Säterskog

SciPost Phys. 4, 015 (2018) · published 27 March 2018

doi: 10.21468/SciPostPhys.4.3.015
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.4.3.015
TI  - A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$
PY  - 2018/03/27
UR  - https://www.scipost.org/SciPostPhys.4.3.015
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 4
IS  - 3
SP  - 015
A1  - Säterskog, Petter
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.4.3.015,
	title={{A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$}},
	author={Petter Säterskog},
	journal={SciPost Phys.},
	volume={4},
	pages={015},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.4.3.015},
	url={https://scipost.org/10.21468/SciPostPhys.4.3.015},
}

Cited by 3

Ontology / Topics

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Friedel oscillations Quantum critical metals Quantum criticality

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¹ ² Petter Säterskog

Funders for the research work leading to this publication

Knut och Alice Wallenbergs Stiftelse (Knut and Alice Wallenberg Foundation) (through Organization: Knut och Alice Wallenbergs Stiftelse / Knut and Alice Wallenberg Foundation)
Nederlandse Organisatie voor Wetenschappelijk Onderzoek / Netherlands Organisation for Scientific Research [NWO]
Stichting voor Fundamenteel Onderzoek der Materie / Foundation For Fundamental Research On Matter [FOM]
Villum Fonden / Velux Foundation