The topological order phase in two-dimensional bilayer system

Ching-Yu Huang^1*, Daw-Wei Wang^1,2

¹Physics Division, National Center for Theoretical Sciences, Hsinchu, Taiwan
²Department of Physics, National Tsing Hua University, Hsinchu, Taiwan

* Presenter:Ching-Yu Huang, email:ayajor827@gmail.com

Topologically ordered quantum systems have robust physical properties, such as quasiparticle statistics, which do not depend on the microscopic details of the Hamiltonian. We theoretically and numerically study a possible topological superconductivity in the interacting two layers system. We found the Majorana modes exhibit a flat band at zero energy and fully gapped from Bogoliubov excitations in the bulk. We also calculate the entanglement entropy, entanglement spectrum and topological index and these index can serve as order parameters to characterize the Topologically ordered phases.

Keywords: Topologically ordered phases, Topological superconductivity, entanglement spectrum