Issue |
EPL
Volume 130, Number 2, April 2020
|
|
---|---|---|
Article Number | 27003 | |
Number of page(s) | 7 | |
Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
DOI | https://doi.org/10.1209/0295-5075/130/27003 | |
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
(a) ritunehra@iiserb.ac.in
(b) auditya@iiserb.ac.in
(c) abhirams@uohyd.ac.in
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.