Disordered non-Fermi liquid fixed point for two-dimensional metals at Ising-nematic quantum critical points
Kyoung-Min Kim, Ki-Seok Kim
SciPost Phys. 17, 059 (2024) · published 23 August 2024
- doi: 10.21468/SciPostPhys.17.2.059
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Abstract
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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Kyoung-Min Kim,
- 2 3 Ki-Seok Kim
- 1 Institute for Basic Science [IBS]
- 2 포항공과대학교 / Pohang University of Science and Technology [POSTECH]
- 3 Asia Pacific Center for Theoretical Physics [APCTP]