Crossed surface flat bands of Weyl semimetal superconductors

Abstract

It has been noted that certain surfaces of Weyl semimetals have bound states forming open Fermi arcs, which are never seen in typical metallic states. We show that the Fermi arcs enable them to support an even more exotic surface state with crossed flat bands in the superconducting state. We clarify the topological origin of the crossed flat bands and the relevant symmetry that stabilizes the cross point. We also discuss their possible experimental verification by tunneling spectroscopy.

5 pages for main text and 5 pages for supplementary materials

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• Topological surface superconductivity in doped Weyl loop materials
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Josephson effect in a Weyl SNS junction
• Quantum-oscillation-modulated angular dependences of the positive longitudinal magnetoconductivity and planar Hall effect in Weyl semimetals
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Single full gap with mixed type-I and type-II superconductivity on surface of the type-II Dirac semimetal PdTe2 by point-contact spectroscopy
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Topological Phase Transitions and a Two-Dimensional Weyl Superconductor in a Half-Metal/Superconductor Heterostructure
• Searching for two-dimensional Weyl superconductors in heterostructures
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space