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However, the role of ultrafast phonon-assisted processes in two-dimensional systems is rarely discussed in depth. Here, we investigate the role of electron\u2013phonon interaction in the transient optical absorption of graphene by means of first-principles methods. It is shown at equilibrium that the phonon-assisted transitions renormalize significantly the electronic structure. As a result, absorption peak around the Van-Hove singularity broadens and redshifts by ~100\u2009meV. In addition, temperature increase and chemical doping are shown to notably enhance these phonon-assisted features. In the photoinduced transient response, we obtain spectral changes in close agreement with the experiments, and we associate them to the strong renormalization of occupied and unoccupied <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\pi$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>\u03c0<\/mml:mi><\/mml:math><\/jats:alternatives><\/jats:inline-formula> bands, which predominantly comes from the coupling with the zone-center <jats:inline-formula><jats:alternatives><jats:tex-math>$${E}_{2g}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msub><mml:mrow><mml:mi>E<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>g<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:math><\/jats:alternatives><\/jats:inline-formula> optical phonon. Our estimation of the Coulomb interaction effects shows that the phonon-assisted processes can have a dominant role even in the subpicosecond regime.<\/jats:p>","DOI":"10.1038\/s41699-019-0131-5","type":"journal-article","created":{"date-parts":[[2019,12,13]],"date-time":"2019-12-13T11:04:00Z","timestamp":1576235040000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Phonon-assisted processes in the ultraviolet-transient optical response of graphene"],"prefix":"10.1038","volume":"3","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1673-2973","authenticated-orcid":false,"given":"Dino","family":"Novko","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Marko","family":"Kralj","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2019,12,13]]},"reference":[{"key":"131_CR1","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1103\/RevModPhys.81.109","volume":"81","author":"AH Castro Neto","year":"2009","unstructured":"Castro Neto, A. 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