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.
Highlights
We illustrate the multifarious TQPTs of two-dimensional spinless fermions with p-wave superconducting pairing on a checkerboard-lattice CI/QAH model
A rich TSC phase diagram is revealed by tuning the chemical potential and staggered-flux phase factor
This is in sharp contrast to the previous theoretical works based on single-band p +ip TSC or QAH states coupling to a conventional s-wave superconductor through the proximity effect
Summary
We illustrate the multifarious TQPTs of two-dimensional spinless fermions with p-wave superconducting pairing on a checkerboard-lattice CI/QAH model. Various TSC phases, especially with high Chern numbers, are established with just short-range nearest-neighbor pairing.
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