We study the transport through the Kitaev's chain with incommensurate
potentials coupled to two normal leads by the numerical operator method. We
find a quantized linear conductance of e2/h, which is independent to the
disorder strength and the gate voltage in a wide range, signaling the Majorana
bound states. While the incommensurate disorder suppresses the current at
finite voltage bias, and then narrows the linear response regime of the I−V
curve which exhibits two plateaus corresponding to the superconducting gap and
the band edge respectively. The linear conductance abruptly drops to zero as
the disorder strength reaches the critical value 2+2Δ with Δ the
p-wave pairing amplitude, corresponding to the transition from the topological
superconducting phase to the Anderson localized phase. Changing the gate
voltage will also cause an abrupt drop of the linear conductance by driving the
chain into the topologically trivial superconducting phase, whose I−V curve
exhibits an exponential shape.Comment: 9 pages, 7 figure