TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.3.067
TI  - Instabilities of quantum critical metals in the limit $N_f\rightarrow0$
PY  - 2021/03/12
UR  - https://scipost.org/SciPostPhys.10.3.067
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 3
SP  - 067
A1  - Säterskog, Petter
AB  - We study a model in 2+1 dimensions composed of a Fermi surface of $N_f$ flavors of fermions coupled to scalar fluctuations near quantum critical points (QCPs). The $N_f\rightarrow0$ limit allows us to non-perturbatively calculate the long-range behavior of fermion correlation functions. We use this to calculate charge, spin and pair susceptibilities near different QCPs at zero and finite temperatures, with zero and finite order parameter gaps. While fluctuations smear out the fermionic quasiparticles, we find QCPs where the overall effect of fluctuations leads to enhanced pairing. We also find QCPs where the fluctuations induce spin and charge density wave instabilities for a finite interval of order parameter fluctuation gaps at $T=0$. We restore a subset of the diagrams suppressed in the $N_f\rightarrow0$ limit, all diagrams with internal fermion loops with at most 2 vertices, and find that this does not change the long-range behavior of correlators except right at the QCPs.
ER  -

@Article{10.21468/SciPostPhys.10.3.067,
	title={{Instabilities of quantum critical metals in the limit $N_f\rightarrow0$}},
	author={Petter Säterskog},
	journal={SciPost Phys.},
	volume={10},
	pages={067},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.3.067},
	url={https://scipost.org/10.21468/SciPostPhys.10.3.067},
}