,Topological properties in ABA trilayer graphene under the irradiation of light

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We study ABA trilayer graphene under irradiation of a circularly polarized light.In high-frequency regime,the effective low-energy Hamiltonian is obtained based on the Floquet theory.With increasing circularly polarized light intensity,the band structure shows a band gap closing and reopening,which happen twice.The process of the band gap closing and reopening is accompanied with a topological phase transition.We investigate the Che numbers and the anomalous Hall conductivities to confirm the topological phase transition.The interplay between light-induced circularity-dependent effective potential and effective sublattice potential is discussed.
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