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- W3100283344 abstract "We construct an analytic continuum model to describe the electronic structure and the electron-phonon interaction in twisted bilayer graphenes with arbitrary lattice deformation. Starting from the tight-binding model, we derive the interlayer Hamiltonian in the presence of general lattice displacement and obtain a long-wavelength continuum expression for smooth deformation. We show that the continuum model correctly describes the band structures of the lattice-relaxed twisted bilayer graphenes. We apply the formula to the phonon vibration and derive an explicit expression of the electron-phonon matrix elements between the moir'e band states and the moir'e phonon modes. By numerical calculation, we find that the electron-phonon coupling is significantly enhanced in low twist angles due to the superlattice hybridization. At the magic angle, in particular, the phonon-mediated electron-electron interaction is found to be comparable to the order of the inverse density of states, suggesting that the system is in the strong coupling regime." @default.
- W3100283344 created "2020-11-23" @default.
- W3100283344 creator A5072087338 @default.
- W3100283344 creator A5087994606 @default.
- W3100283344 date "2020-05-15" @default.
- W3100283344 modified "2023-10-14" @default.
- W3100283344 title "Effective continuum model for relaxed twisted bilayer graphene and moiré electron-phonon interaction" @default.
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- W3100283344 doi "https://doi.org/10.1103/physrevb.101.195425" @default.
- W3100283344 hasPublicationYear "2020" @default.
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