Copropagating edge states produced by the interaction between electrons and chiral phonons in two-dimensional materials

Abstract

Unlike the chirality of electrons, the intrinsic chirality of phonons has only surfaced in recent years. Here we report on the effects of the interaction between electrons and chiral phonons in two-dimensional materials by using a non-perturbative solution. We show that chiral phonons introduce inelastic \textit{Umklapp} processes resulting in copropagating edge states which coexist with a continuum. Transport simulations further reveal the robustness of the edge states. Our results hint on the possibility of having a metal embedded with hybrid electron-phonon states of matter.

8 pages, 6 figures

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• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Antichiral surface states and Su-Schrieffer-Heeger physics in rutile altermagnets
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Antichiral edge states and Bogoliubov Fermi surfaces in a two-dimensional proximity-induced superconductor