Volume 130, Number 2, April 2020
|Number of page(s)||7|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||28 May 2020|
Transport in a long-range Kitaev ladder: Role of Majorana and subgap Andreev states
1 Department of Physics, Indian Institute of Science Education and Research - Bhopal, India
2 School of Physics, University of Hyderabad - C.R. Rao Road, Gachibowli, Hyderabad 500046, India
Received: 22 January 2020
Accepted: 13 May 2020
We study the role of the constituent Majorana fermions and the subgap Andreev states on local and non-local transport across a two-leg long-range Kitaev ladder connected to metallic leads. The double degeneracy of Majorana fermions of the individual legs of the ladder gets lifted by a coupling between the two, resulting in the creation of Andreev bound states. A finite inter-leg hopping can be used to induce this coupling, provided a suitable superconducting phase difference (between the legs) is also applied. Andreev bound states formed strongly enhance local Andreev reflection. When the ladder and normal metal are weakly coupled the non-local nature of Andreev bound states enhances the non-local scattering weakly. When the ladder-normal metal interface is transparent to electron flow, we find that the subgap Andreev states enhance non-local conductance strongly. The features in the local and non-local conductances resemble the spectrum of the isolated ladder. Long-range pairing helps lift the degeneracy of the Majorana modes, makes them less localized, and thus inhibits local transport, while aiding non-local transport.
PACS: 74.20.Rp – Pairing symmetries (other than s-wave) / 74.45.+c – Proximity effects; Andreev reflection; SN and SNS junctions / 74.50.+r – Tunneling phenomena; Josephson effects
© EPLA, 2020
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