Double Andreev reflections in type-II Weyl semimetal-superconductor junctions

We study the Andreev reflections (ARs) at the interface of the type-II Weyl semimetal-superconductor junctions and find double ARs when the superconductor is put in the Weyl semimetal band tilting direction, which is similar to the double reflections of light in anisotropic crystals. The directions of the double (retro and specular) ARs are symmetric about the normal due to the hyperboloidal Fermi surface near the Weyl nodes, but with different AR amplitudes depending on the incident electron. When the normal direction of the Weyl semimetal-superconductor interface is changed from parallel to perpendicular with the band tilt, the double ARs gradually evolve into one retro-AR and one normal reflection, resulting in an anisotropic differential conductance, which is a unique observable signature for the double ARs in experiments.