https://doi.org/10.1140/epjp/s13360-020-00647-7
Regular Article
Jahn–Teller coupling to moiré phonons in the continuum model formalism for small-angle twisted bilayer graphene
International School for Advanced Studies (SISSA), Via Bonomea 265, 34136, Trieste, Italy
Received:
2
July
2020
Accepted:
28
July
2020
Published online:
6
August
2020
We show how to include the Jahn–Teller coupling of moiré phonons to the electrons in the continuum model formalism which describes small-angle twisted bilayer graphene. These phonons, which strongly couple to the valley degree of freedom, are able to open gaps at most integer fillings of the four flat bands around the charge neutrality point. Moreover, we derive the full quantum mechanical expression of the electron–phonon Hamiltonian, which may allow accessing phenomena such as the phonon-mediated superconductivity and the dynamical Jahn–Teller effect.
© The Author(s) 2020
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