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We study the transport through the Kitaev's chain with incommensuratepotentials coupled to two normal leads by the numerical operator method. Wefind a quantized linear conductance of $e^2/h$, which is independent to thedisorder strength and the gate voltage in a wide range, signaling the Majoranabound states. While the incommensurate disorder suppresses the current atfinite voltage bias, and then narrows the linear response regime of the $I-V$curve which exhibits two plateaus corresponding to the superconducting gap andthe band edge respectively. The linear conductance abruptly drops to zero asthe disorder strength reaches the critical value $2+2\Delta$ with $\Delta$ thep-wave pairing amplitude, corresponding to the transition from the topologicalsuperconducting phase to the Anderson localized phase. Changing the gatevoltage will also cause an abrupt drop of the linear conductance by driving thechain into the topologically trivial superconducting phase, whose $I-V$ curveexhibits an exponential shape.

Effect of incommensurate disorder on the resonant tunneling through Majorana bound states on the topological superconductor chains