Nearly free phonons in a weak soliton potential and the case of twisted bilayer graphene

Benoit Van Troeye, Michael Lamparski, Natalya Sheremetyeva, Vincent Meunier

Research output: Contribution to journalArticlepeer-review

Abstract

Structural relaxation in slightly misaligned bilayer graphene leads to the formation of domains separated by topological solitons. The influence of such a soliton lattice on phonons is investigated in the framework of the Frenkel-Kontorova model, where a solution is derived in the continuum limit. A nearly free phonon model is developed to explain the characteristic features in the phonon band structure derived from the Frenkel-Kontorova model. Its 2D extension is discussed and applied on the specific case of twisted bilayer graphene. This model explains a number of computational results reported until now and can be used directly to investigate other misaligned two-dimensional networks as found in van der Waals heterostructures.

Original languageEnglish (US)
Article number035420
JournalPhysical Review B
Volume105
Issue number3
DOIs
StatePublished - Jan 15 2022

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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