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.

Jahn–Teller coupling to moiré phonons in the continuum model formalism for small-angle twisted bilayer graphene / Angeli, M.; Fabrizio, M.. - In: THE EUROPEAN PHYSICAL JOURNAL PLUS. - ISSN 2190-5444. - 135:8(2020), p. 630. [10.1140/epjp/s13360-020-00647-7]

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

Angeli M.
;
Fabrizio M.
2020-01-01

Abstract

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.
2020
135
8
630
10.1140/epjp/s13360-020-00647-7
Angeli, M.; Fabrizio, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/116337
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