Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of NEGF and scattering approaches to electron transport in
  the Kitaev chain   We consider electron transport in a Kitaev chain connected at its two ends to
normal metallic leads kept at different temperatures and chemical potentials.
Transport in this set-up is usually studied using two frameworks -- the
nonequilibrium Green's function (NEGF) approach or the scattering approach. In
the NEGF approach the current and other steady state properties of a system are
expressed in terms of Green's functions that involve the wire properties and
self-energy corrections arising from the leads. In the scattering approach,
transport is studied in terms of the scattering amplitudes of plane waves
incident on the wire from the reservoirs. Here we show explicitly that these
two approaches produce identical results for the conductance of the Kitaev
chain. Further we show that the NEGF expression for conductance can be written
in such a way that there is a one-to-one correspondence of the various terms in
the NEGF expression to the amplitudes for normal transmission, Andreev
transmission and Andreev reflection in the scattering approach. Thereby, we
obtain closed form expressions for these. We obtain the wavefunctions of zero
energy Majorana bound states(MBS) of the wire connected to leads and prove that
they are present in the same parameter regime in which they occur for an
isolated wire. These bound states give rise to perfect Andreev reflection
responsible for zero bias quantized conductance peak. We discuss the dependence
of the width of this peak on different parameters of the Hamiltonian and relate
it to the MBS wavefunction properties. We find that the peak broadens if the
weight of the MBS in the reservoirs increases and vice versa.

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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org