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/

Global: Zendy Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider a Josephson junction built with the two-dimensional semi-Diracsemimetal, which features a hybrid of linear and quadratic dispersion around anodal point. We model the weak link between the two superconducting regions bya Dirac delta potential because it mimics the thin-barrier limit of asuperconductor-barrier-superconductor configuration. Assuming a homogeneouspairing in each region, we set up the BdG formalism for electronlike andholelike quasiparticles propagating along the quadratic-in-momentum dispersiondirection. This allows us to compute the discrete bound-state energy spectrum$\varepsilon $ of the subgap Andreev states localized at the junction. Incontrast with the Josephson effect investigated for propagation along linearlydispersing directions, we find a pair of doubly degenerate Andreev boundstates. Using the dependence of $\varepsilon $ on the superconducting phasedifference $\phi$, we compute the variation of Josephson current as a functionof $\phi$.

Andreev bound states in Josephson junctions of semi-Dirac semimetals