{ "id": "1809.08407", "version": "v1", "published": "2018-09-22T08:38:27.000Z", "updated": "2018-09-22T08:38:27.000Z", "title": "Electron-phonon interaction in magic-angle twisted bilayer graphene", "authors": [ "Young Woo Choi", "Hyoung Joon Choi" ], "comment": "6 pages, 3 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "We study the electron-phonon interaction in magic-angle twisted bilayer graphene (MA-TBG) at the atomistic level, considering the effects of lattice relaxations on the electronic structure. The electron-phonon matrix elements are calculated from the modulation of hopping energy due to atomic displacements of phonon modes. While our method confirms small values of the electron-phonon coupling strength lambda ~ 0.1 in monolayer and unrotated bilayer graphene, our calculated values of lambda for MA-TBG reach over 1 near the half-filling energies of the flat bands. The enhancement is due to the large electron density of states of the flat bands. The lattice relaxation brings significant electron-hole asymmetry in the electronic density of states, thus the hole-side flat bands have much stronger coupling strength than the electron-side. The electron-phonon coupling is nearly isotropic, very weakly dependent on electron momentum. Our results highlight that the electron-phonon coupling in MA-TBG is strong enough to contribute to rich physics of the system.", "revisions": [ { "version": "v1", "updated": "2018-09-22T08:38:27.000Z" } ], "analyses": { "keywords": [ "magic-angle twisted bilayer graphene", "electron-phonon interaction", "flat bands", "relaxation brings significant electron-hole asymmetry", "lattice relaxation brings significant electron-hole" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }