TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.2.059
TI  - Disordered non-Fermi liquid fixed point for two-dimensional metals at Ising-nematic quantum critical points
PY  - 2024/08/23
UR  - https://scipost.org/SciPostPhys.17.2.059
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 2
SP  - 059
A1  - Kim, Kyoung-Min
AU  - Kim, Ki-Seok
AB  - Understanding the influence of quenched random potential is crucial for comprehending the exotic electronic transport of non-Fermi liquid metals near metallic quantum critical points. In this study, we identify a stable fixed point governing the quantum critical behavior of two-dimensional non-Fermi liquid metals in the presence of a random potential disorder. By performing renormalization group analysis on a dimensional-regularized field theory for Ising-nematic quantum critical points, we systematically investigate the interplay between random potential disorder for electrons and Yukawa-type interactions between electrons and bosonic order-parameter fluctuations in a perturbative epsilon expansion. At the one-loop order, the effective field theory lacks stable fixed points, instead exhibiting a runaway flow toward infinite disorder strength. However, at the two-loop order, the effective field theory converges to a stable fixed point characterized by finite disorder strength, termed the "disordered non-Fermi liquid (DNFL) fixed point". Our investigation reveals that two-loop vertex corrections induced by Yukawa couplings are pivotal in the emergence of the DNFL fixed point, primarily through screening disorder scattering. Additionally, the DNFL fixed point is distinguished by a substantial anomalous scaling dimension of fermion fields, resulting in pseudogap-like behavior in the electron's density of states. These findings shed light on the quantum critical behavior of disordered non-Fermi liquid metals, emphasizing the indispensable role of higher-order loop corrections in such comprehension.
ER  -

@Article{10.21468/SciPostPhys.17.2.059,
	title={{Disordered non-Fermi liquid fixed point for two-dimensional metals at Ising-nematic quantum critical points}},
	author={Kyoung-Min Kim and Ki-Seok Kim},
	journal={SciPost Phys.},
	volume={17},
	pages={059},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.2.059},
	url={https://scipost.org/10.21468/SciPostPhys.17.2.059},
}