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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Beryllium was recently discovered to harbor a Dirac nodal line (DNL) in itsbulk phase and the DNL-induced non-trivial drumhead-like surface states (DNSSs)on its (0001) surface, rationalizing several already-existing historic puzzles[Phys. Rev. Lett., \textbf{117}, 096401 (2016)]. However, to date theunderlying mechanism, as to why its (0001) surface exhibits an anomalouslylarge electron-phonon coupling effect ($\lambda_{e-ph}^s$ $\approx$ 1.0),remains unresolved. Here, by means of first-principles calculations we haveevidenced that the coupling of the DNSSs with the phononic states mainlycontributes to its novel surface \emph{e-ph} enhancement. Besides that theexperimentally observed $\lambda_{e-ph}^s$ and the main Eliashberg couplingfunction (ECF) peaks have been reproduced well, we have decomposed the ECF,$\alpha^{2}$$F$(\emph{k},\textbf{\emph{q}};\emph{v}), and the \emph{e-ph}coupling strength $\lambda(\emph{k},\textbf{\emph{q}};\emph{v})$ as a functionof each electron momentum (\emph{k}), each phonon momentum (\textbf{\emph{q}})and each phonon mode ($v$), evidencing the robust connection between the DNSSsand both $\alpha^{2}$$F$(\emph{k},\textbf{\emph{q}};\emph{v}) and$\lambda(\emph{k},\textbf{\emph{q}};\emph{v})$. The results reveal the strong\emph{e-ph} coupling between the DNSSs and the phonon modes, which contributesover 80$\%$ of the $\lambda_{e-ph}^s$ coefficient on the Be (0001) surface. Ithighlights that the anomalously large \emph{e-ph} coefficient on the Be (0001)surface can be attributed to the presence of its DNL-induced DNSSs, clarifyingthe long-term debated mechanism.

Underlying topological Dirac nodal line mechanism of anomalously large electron-phonon coupling strength on Be (0001) surface