Transverse conductance in a three-dimensional Weyl semimetal and Weyl superconductor hybrid under a strong magnetic field

There are two competing pairing mechanisms for the superconductivity of doped Weyl semimetals, i.e., the internode Bardeen-Cooper-Schrieffer (BCS) pairing and the intranode Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing. To understand the edge excitations at the interface between the Weyl semimetal and the superconducting Weyl semimetal (WSM/SWSM) mediated by two different pairings, we study the energy dispersions and the density of states under a strong magnetic field. It is found that only the chiral zeroth Landau level exhibits a significant difference for the two pairings; the excitation spectra of higher Landau levels are insensitive to the way of pairings. In the vicinity of interface in the hybrid of WSM/SWSM, the spatial distributions of transverse current and the transverse conductance are independent of pairing mechanism. The pairing independence in the macroscopic conductance can be understood with the quantum effect of phase-coherent electron-hole states at the WSM/SWSM interface, which is responsible for the magnetically induced edge states supported by the Weyl Landau levels.