The spin-orbit coupling effect on the topological superconducting properties of Kagome lattice
Based on the tight-binding model of Kagome lattice and Bogoliubov-de Gennes equation,this paper investigates systematically the effect of spin-orbit coupling(SOC)on a topological superconducting(TSC)state of Kagome lattice through the numerical diagonalization method.By calculating the supercon-ducting gap(Egap)and the Chern number(NC)of the Kagome bulk,and the energy spectra of the Kagome nanoribbon,the topological phase transition and the evolution of the edge states induced by Rashba SOC(RSOC)and intrinsic SOC(ISOC)on a chiral d+id wave Kagome superconductor are analyzed.The results indicate that the RSOC can induce a new TSC phase with Nc from-2 to 4,a new topologically pro-tected edge mode emerges,and the original topological edge modes turn into trivial simultaneously.Such zero-energy-crossed trivial edge states can be break by ISOC and cause the mismatch between Nc and the number of edge states.Rich TSC phases emerge when RSOC and ISOC are both presented,but the ISOC cannot break nor induce the particle-hole symmetry protected edge states,thus the topological phase transi-tions cannot be reflected on the edge states.
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