title: Multifarious topological quantum phase transitions in two-dimensional topological superconductors.
abstract: We study the two-dimensional topological superconductors of spinless fermions in a checkerboard-lattice Chern-insulator model. With the short-range p-wave superconducting pairing, multifarious topological quantum phase transitions have been found and several phases with high Chern numbers have been observed. We have established a rich phase diagram for these topological superconducting states. A finite-size checkerboard-lattice cylinder with a harmonic trap potential has been further investigated. Based upon the self-consistent numerical calculations of the Bogoliubov-de Gennes equations, various phase transitions have also been identified at different regions of the system. Multiple pairs of Majorana fermions are found to be well-separated and localized at the phase boundaries between the phases characterized by different Chern numbers.
authors.affiliation: National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing, 210093, China.
authors.forename: Xiao-Ping
authors.initials: XP
authors.lastname: Liu
authors.affiliation: National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing, 210093, China.|Condensed Matter Physics and Material Science Department, Brookhaven National Loboratory, Upton, New York 11973, USA.
authors.forename: Yuan
authors.initials: Y
authors.lastname: Zhou
authors.affiliation: Center for Statistical and Theoretical Condensed Matter Physics and Department of Physics, Zhejiang Normal University, Jinhua 321004, China.
authors.forename: Yi-Fei
authors.initials: YF
authors.lastname: Wang
authors.affiliation: National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing, 210093, China.|Center for Statistical and Theoretical Condensed Matter Physics and Department of Physics, Zhejiang Normal University, Jinhua 321004, China.
authors.forename: Chang-De
authors.initials: CD
authors.lastname: Gong