Topological anisotropic non-Fermi liquid from a Berry-dipole semimetal

TL;DR

This paper predicts a novel topological phase called an anisotropic non-Fermi liquid emerging from a Berry-dipole semimetal with long-range Coulomb interactions, characterized by unique scaling behaviors.

Contribution

It introduces a new topological phase arising from the interplay of topology and interactions in a Berry-dipole semimetal, with specific predictions for observable scaling relations.

Findings

Prediction of a spatially anisotropic non-Fermi liquid state.

Derivation of scaling relations for physical observables.

Proposal of an experimental test for topological features.

Abstract

The interplay among topology and interactions has been a promising path towards identifying novel phases of condensed matter beyond these predicted by the established classification paradigms. In the present work, we propose such a novel phase of matter by studying 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 and an $\epsilon$-expansion within the renormalization-group scheme, we predict the emergence of a spatially anisotropic non-Fermi liquid with enhanced Berry-dipole moment. The corresponding scaling relations of certain physical observables are derived as functions of the probed energy and temperature scale, and we conclude by providing an observational test for probing the enhanced topological features of the anisotropic non-Fermi liquid.