2016 年 37 巻 11 号 p. 535-540
The topological aspects in the physics of atomic layers, particularly the valley physics, are briefly reviewed. First, the Berry curvature of band structure is introduced as a basic concept for the k-space topology. The stability of Dirac cones and the valley splitting of Landau levels in gapped graphene are explained topologically. The valley Hall effect in gapped graphene is discussed as a remarkable topological transport phenomenon. The spin-valley correspondence is also mentioned in 2H-MoS2 monolayer with no inversion symmetry.