Jahn–Teller coupling to moiré phonons in the continuum model formalism for small-angle twisted bilayer graphene

The European Physical Journal Plus - Tập 135 Số 8 - 2020
Mattia Angeli1, Michele Fabrizio1
1International School for Advanced Studies (SISSA), Trieste, Italy

Tóm tắt

AbstractWe 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.

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