Spin-orbit coupling and the Landau level spectrum of ABA-stacked trilayer graphene

We review the tight-binding model of ABA-stacked trilayer graphene. The presence of mirror reflection symmetry of the crystal structure leads to a decomposition of the band structure into separate monolayerlike and bilayerlike parts. Owing to a lack of spatial inversion symmetry, next-nearest layer coupling induces gaps in the monolayerlike and the bilayerlike parts of the spectrum, and also shifts the monolayerlike and bilayerlike bands with respect to each other. We calculate the Landau level spectrum of ABA-stacked trilayer graphene taking into account terms within the single-particle picture that break level degeneracy including next-nearest layer coupling and spin-orbit coupling.