In this paper,we study the topological properties,the density of states(DOS),and the localization properties of the Kitaev mode with the on-site disorder,the hopping disorder,the superconducting pairing disorder,and the full disorder,which includes all the above three disorders.These disorder effects may induce topologically nontrivial phases or destroy topologically nontrivial prop-erties.We also compare the DOS with the topological phase diagram,and find that the existence of the zero-energy peak cannot be used as a proof in the experimental detection.Finally,we study the localization properties of the Kitaev mode with the on-site disor-der effect as an example in finite-size cases.
Majorana fermionsZ2 topological invariantLyapunov exponentdensity of states
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