title: Magnetic-flux-driven topological quantum phase transition and manipulation of perfect edge states in graphene tube.
abstract: We study the tight-binding model for a graphene tube with perimeter N threaded by a magnetic field. We show exactly that this model has different nontrivial topological phases as the flux changes. The winding number, as an indicator of topological quantum phase transition (QPT) fixes at N/3 if N/3 equals to its integer part [N/3], otherwise it jumps between [N/3] and [N/3] + 1 periodically as the flux varies a flux quantum. For an open tube with zigzag boundary condition, exact edge states are obtained. There exist two perfect midgap edge states, in which the particle is completely located at the boundary, even for a tube with finite length. The threading flux can be employed to control the quantum states: transferring the perfect edge state from one end to the other, or generating maximal entanglement between them.
authors.affiliation: School of Physics, Nankai University, Tianjin 300071, China.
authors.forename: S
authors.initials: S
authors.lastname: Lin
authors.affiliation: College of Physics and Materials Science, Tianjin Normal University, Tianjin 300387, China.
authors.forename: G
authors.initials: G
authors.lastname: Zhang
authors.affiliation: School of Physics, Nankai University, Tianjin 300071, China.
authors.forename: C
authors.initials: C
authors.lastname: Li
authors.affiliation: School of Physics, Nankai University, Tianjin 300071, China.
authors.forename: Z
authors.initials: Z
authors.lastname: Song