Topological anisotropic non-Fermi liquid from a Berry-dipole semimetal
TLDR
This paper reveals an anisotropic non-Fermi liquid emerging from a Berry-dipole semimetal at a topological critical point, using large-$N_f$ analysis.
Key contributions
- Investigates a 3D Berry-dipole semimetal at a topological quantum critical point.
- Uncovers an anisotropic non-Fermi liquid with enhanced Berry-dipole moment via large-$N_f$ and ε-expansion.
- Derives scaling relations for physical observables as functions of energy and temperature scales.
- Proposes an observational criterion to distinguish this topological anisotropic non-Fermi liquid.
Why it matters
This research significantly advances our understanding of topological states of matter and electron interactions. It predicts a novel anisotropic non-Fermi liquid, offering new avenues for experimental observation and theoretical exploration in condensed matter physics.
Original Abstract
Investigating the interplay among topology and electron-electron interactions is an intriguing research quest which has recently gathered steam across the community of condensed-matter physics. In the present work, we study the fate of a three-dimensional Berry-dipole semimetal, lying at the topological quantum critical point separating a Hopf insulator from a trivial insulator, in the presence of long-range Coulomb interactions. Utilizing large-$N_f$ analysis at three spatial dimensions and an $ε$-expansion within the renormalization-group scheme, we uncover the emergence of a spatially \textit{anisotropic} non-Fermi liquid with enhanced Berry-dipole moment. We further derive the corresponding scaling relations of certain physical observables as functions of the probed energy and temperature scale, and we provide a simple observational criterion for distinguishing the onset of the topological anisotropic non-Fermi liquid from a Berry-dipole semimetal.
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