Figure 1
(a) Sketch of a graphene tube threaded by a magnetic field considered in this work. The flux induced by an external varying electric field or current, derives the topological QPTs and quantum state transfer. (b) Honeycomb lattice of a tube with periodic boundary condition. The tube shows translational symmetry along x and y axes. The complex hopping constants induced by the flux are denoted in red. The gray shaded region represents a lattice ring as the super unit cell of the tube, which repeats itself along y axis. (c) Sketch of a SSH lattice ring reduced from the tube. The hopping integral J and dimerization strength δ are the functions of flux.
