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We consider electron transport in a Kitaev chain connected at its two ends tonormal metallic leads kept at different temperatures and chemical potentials.Transport in this set-up is usually studied using two frameworks -- thenonequilibrium Green's function (NEGF) approach or the scattering approach. Inthe NEGF approach the current and other steady state properties of a system areexpressed in terms of Green's functions that involve the wire properties andself-energy corrections arising from the leads. In the scattering approach,transport is studied in terms of the scattering amplitudes of plane wavesincident on the wire from the reservoirs. Here we show explicitly that thesetwo approaches produce identical results for the conductance of the Kitaevchain. Further we show that the NEGF expression for conductance can be writtenin such a way that there is a one-to-one correspondence of the various terms inthe NEGF expression to the amplitudes for normal transmission, Andreevtransmission and Andreev reflection in the scattering approach. Thereby, weobtain closed form expressions for these. We obtain the wavefunctions of zeroenergy Majorana bound states(MBS) of the wire connected to leads and prove thatthey are present in the same parameter regime in which they occur for anisolated wire. These bound states give rise to perfect Andreev reflectionresponsible for zero bias quantized conductance peak. We discuss the dependenceof the width of this peak on different parameters of the Hamiltonian and relateit to the MBS wavefunction properties. We find that the peak broadens if theweight of the MBS in the reservoirs increases and vice versa.

Equivalence of NEGF and scattering approaches to electron transport in the Kitaev chain