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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. Disciplines Engineering | Science and Technology Studies Publication Details Duan, W., Liu, J., Fang, J., Zhang, C. & Ma, Z. (2018). Transverse conductance in a three-dimensional Weyl semimetal and Weyl superconductor hybrid under a strong magnetic field. Physical Review B, 98 (15), 155317-1-155317-15. This journal article is available at Research Online: https://ro.uow.edu.au/eispapers1/2255 PHYSICAL REVIEW B 98, 155317 (2018) Transverse conductance in a three-dimensional Weyl semimetal and Weyl superconductor hybrid under a strong magnetic field Wenye Duan,1,2 Junfeng Liu,3 Jun Fang,1 Chao Zhang,2,4 and Zhongshui Ma1,5 1School of Physics, Peking University, Beijing 100871, China 2School of Physics, University of Wollongong, New South Wales 2522, Australia 3Department of Physics, South University of Science and Technology of China, Shenzhen 518055, China 4Terahertz Science Cooperative Innovation Center, University of Shanghai for Science and Technology, Shanghai 200093, China 5Collaborative Innovation Center of Quantum Matter, Beijing 100871, China (Received 7 April 2017; published 23 October 2018) 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. DOI: 10.1103/PhysRevB.98.155317