English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We study Majorana modes and transport in one-dimensional systems with a$p$-wave superconductor (SC) and normal metal leads. For a system with a SClying between two leads, it is known that there is a Majorana mode at thejunction between the SC and each lead. If the $p$-wave pairing $\Delta$ changessign or if a strong impurity is present at some point inside the SC, twoadditional Majorana modes appear near that point. We study the effect of allthese modes on the sub-gap conductance between the leads and the SC. We derivean analytical expression as a function of $\Delta$ and the length $L$ of the SCfor the energy shifts of the Majorana modes at the junctions due tohybridization between them; the shifts oscillate and decay exponentially as $L$is increased. The energy shifts exactly match the location of the peaks in theconductance. Using bosonization and the renormalization group method, we studythe effect of interactions between the electrons on $\Delta$ and the strengthsof an impurity inside the SC or the barriers between the SC and the leads; thisin turn affects the Majorana modes and the conductance. Finally we propose anovel experimental realization of these systems, in particular of a systemwhere $\Delta$ changes sign at one point inside the SC.

Majorana modes and transport across junctions of superconductors and normal metals