  We consider electron transport in a model of a spinless superconductor
described by a Kitaev type lattice Hamiltonian where the electron interactions
are modelled through a superconducting pairing term. The superconductor is
sandwiched between two normal metals kept at different temperatures and
chemical potentials and are themselves modelled as non-interacting spinless
fermions. For this set-up we compute the exact steady state properties of the
system using the quantum Langevin equation approach. Closed form exact
expressions for particle current, energy current and other two-point
correlations are obtained in the Landauer-type forms and involve two
nonequilibrium Green's functions. The current expressions are found out to be
sum of three terms having simple physical interpretations. We then discuss a
numerical approach where we construct the time-evolution of the two point
correlators of the system from the eigenspectrum of the complete quadratic
Hamiltonian describing the system and leads. By starting from an initial state
corresponding to the leads in thermal equilibrium and the system in an
arbitrary state, the long time solution for the correlations, before recurrence
times, gives us steady state properties. We use this independent numerical
method for verifying the results of the exact solution. We also investigate
analytically the presence of high energy bound states and obtain expressions
for their contributions to two point correlators. As applications of our
general formalism we present results on thermal conductance and on the
conductance of a Kitaev chain with next nearest neighbour interactions which
allows topological phases with different winding numbers.
