  Motivated by the recent experimental observation of the topological Anderson
insulator in disordered atomic wires based on the Su-Schrieffer-Heeger (SSH)
model, we study disorder effects on a dimerized Kitaev superconductor chain
which is regarded as the superconductor version of the SSH model. By computing
the real-space winding number and the zero-bias differential conductance, we
analyze the topological phase transitions occurring in a dimerized Kitaev
superconductor chain with disorder. It is found that disorder can induce a
topologically nontrivial superconductor phase hosting Majorana zero modes
(MZMs). We can regulate the appearance of disorder-induced MZMs by adjusting
the dimerization parameter. Finally, we use the self-consistent Born
approximation method to verify the numerical results.
