Emergent channel over a pair of pockets in strong density waves

TL;DR

This paper uncovers an emergent electron scattering channel in high-density wave states, arising from Dirac fermion interactions in a higher-dimensional effective model, with implications for quantum electronic matter.

Contribution

It introduces a novel scattering channel emerging from Dirac fermion interactions in a higher-dimensional framework influenced by strong density waves.

Findings

Emergent scattering channel identified in the model.

Numerical evidence near ferromagnetic and antiferromagnetic orders.

Discussion on beyond-mean-field fluctuation effects.

Abstract

Different channels over which electrons scatter between parts of the Fermi surface are the key to various electronic quantum matters, such as superconductivity and density waves. We consider an effective model in higher dimensions where each of the two pockets in the original model maps to (the Landau levels of) two Dirac fermions. We discover an emergent channel when two Dirac fermions from different pairs annihilate, where the presence of a strong density wave is essential. We support our analysis with numerical calculations on model examples in the vicinity of ferromagnetic and antiferromagnetic orders. We also discuss interesting consequences on electron interaction channels that beyond-mean-field fluctuations may induce.