Journal of Applied Mathematics and Physics

Volume 10, Issue 4 (April 2022)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 1.00  Citations  

Two-Dimensional Topological Superconductors with Spin-Orbit Coupling and Zeeman Term

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DOI: 10.4236/jamp.2022.104084    167 Downloads   749 Views  
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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.

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Lu, M. (2022) Two-Dimensional Topological Superconductors with Spin-Orbit Coupling and Zeeman Term. Journal of Applied Mathematics and Physics, 10, 1191-1199. doi: 10.4236/jamp.2022.104084.

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