Abstract
We investigate the nonlocal transport properties in normal/superconducting/normal (NSN) junctions based on time-reversal symmetric type-$\mathrm{I}$ and type-$\mathrm{II}$ Weyl semimetals (WSMs). In the type-$\mathrm{I}$ WSM-based NSN junction, we show that a crossed-Andreev-reflection-dominated nonlocal transport can be realized within wide ranges of related parameters, which is favorable for the Cooper-pair splitting. For the type-$\mathrm{II}$ WSM-based NSN junction, we focus on the manifestations of the anisotropic aspects of type-II WSMs in the nonlocal transport. Owing to the hyperboloidlike Fermi surfaces of type-II WSMs, the scattering configurations and nonlocal differential conductance are strongly anisotropic, differing from the scenarios in similar NSN junctions based on other Dirac materials. These results enrich the understanding of the correlated transport in time-reversal symmetric WSM-based superconducting heterostructures.
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