TITLE:
Two-Dimensional Topological Superconductors with Spin-Orbit Coupling and Zeeman Term
AUTHORS:
Meiling Lu
KEYWORDS:
Topological Superconductors, Zeeman Term, Flat Band
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.4,
April
20,
2022
ABSTRACT: Topological superconductors have attracted much attention for their potential applications in realizing topological quantum computing. In this paper, we show a system with 8 × 8 Bogoliubov-de Gennes Hamiltonian. The system has particle-hole symmetry. By adding a Zeeman term to the model, we discuss this system from two situations. In the first case of breaking the inversion symmetry while preserving the mirror symmetry, it is obtained from the topological phase diagram of the system that it is a topological superconductor. In another case where the mirror symmetry is broken while preserving the inversion symmetry, the system has two nodes connected by a flat band of zero-energy Andreev edge states and the topological number is non-zero . It can be concluded that the system is a topological nodal superconductor.