title: Majorana zero modes in the hopping-modulated one-dimensional p-wave superconducting model.
abstract: We investigate the one-dimensional p-wave superconducting model with periodically modulated hopping and show that under time-reversal symmetry, the number of the Majorana zero modes (MZMs) strongly depends on the modulation period. If the modulation period is odd, there can be at most one MZM. However if the period is even, the number of the MZMs can be zero, one and two. In addition, the MZMs will disappear as the chemical potential varies. We derive the condition for the existence of the MZMs and show that the topological properties in this model are dramatically different from the one with periodically modulated potential.
authors.affiliation: Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, 210023, China.
authors.forename: Yi
authors.initials: Y
authors.lastname: Gao
authors.affiliation: College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China.
authors.forename: Tao
authors.initials: T
authors.lastname: Zhou
authors.affiliation: Department of Physics, Shanghai University, Shanghai, 200444, China.
authors.forename: Huaixiang
authors.initials: H
authors.lastname: Huang
authors.affiliation: Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, 210023, China.
authors.forename: Ran
authors.initials: R
authors.lastname: Huang