Electron–<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>K</mml:mi></mml:math>-phonon interaction in twisted bilayer graphene

Abstract

The authors develop here an analytical theory to describe the interaction between moir\'e electrons and $K$-phonons, which is responsible for the replica flat bands of twisted bilayer graphene observed in experiments. They perform an exhaustive numerical, analytical, and symmetry-based description of phonon-mediated attractive interaction and superconducting pairing channels from the $K$-phonon, and find the competing singlet gapped inter-Chern-band channel and nematic gapless intra-Chern-band channel. The latter shows a gapless spectrum with nodes, a feature observed in recent experiments.

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