2019
DOI: 10.1103/physrevb.99.235156
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Cavity quantum electrodynamical Chern insulator: Towards light-induced quantized anomalous Hall effect in graphene

Abstract: We show that an energy gap is induced in graphene by light-matter coupling to a circularly polarized photon mode in a cavity. Using many-body perturbation theory we compute the electronic spectra which exhibit photon-dressed sidebands akin to Floquet sidebands for laser-driven materials. In contrast with Floquet topological insulators, in which a strictly quantized Hall response is induced by light only for off-resonant driving in the high-frequency limit, the photon-dressed Dirac fermions in the cavity show a… Show more

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Cited by 77 publications
(43 citation statements)
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“…As an alternative route towards engineering topological magnon edge states with light, non-classical photon fields in cavities can be employed to control magnetic exchange interactions [77,78] and induce nontrivial topology with chiral light modes [79,80]. We also envisage the possibility to combine optical engineering with the control offered by bilayer Moiré systems [81] to induce and control topological magnons.…”
Section: Discussionmentioning
confidence: 99%
“…As an alternative route towards engineering topological magnon edge states with light, non-classical photon fields in cavities can be employed to control magnetic exchange interactions [77,78] and induce nontrivial topology with chiral light modes [79,80]. We also envisage the possibility to combine optical engineering with the control offered by bilayer Moiré systems [81] to induce and control topological magnons.…”
Section: Discussionmentioning
confidence: 99%
“…We stress here that the electron Berry curvature emerges solely due to the electron-photon coupling. This effect is thus essentially different to the recently proposed quantum Hall effect for the graphene sheet in a magnetic cavity [18,34]. In the case of graphene, the electronic bands are initially characterized by the non-vanishing curvature, and the role of the cavity is limited to the opening of the gap in the Dirac point.…”
mentioning
confidence: 54%
“…In this case the band gap induced initially by a moderate field amplitude could close again leading to a second topological phase transition, which should lead to a signature in the Hall transport experiment. Moreover it is also interesting to address the question of light-induced topology without classical driving fields by encapsulating TBG in a cavity, as recently proposed for single-layer graphene [71].…”
Section: Discussionmentioning
confidence: 99%