Weyl Phases in Point-Group Symmetric Superconductors

Abstract

We study superconductivity in a Weyl semimetal with broken time-reversal symmetry and stabilized by a point-group symmetry. The resulting superconducting phase is characterized by topologically protected bulk nodes and surface states with Fermi arcs. The topological invariant governing the system is calculated using changes in eigenvalues of the point-group operator along high-symmetry momentum lines. We show that this invariant is determined by the Fermi surface topology of the Weyl semimetal. We discuss the effect of surface orientation and $C_4$-breaking strain as possible experimental consequences.

10 pages, 6 figures

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• Chiral magnetic effect in the absence of Weyl node
• Axial anomaly in multi-Weyl and triple-point semimetals
• Superconductivity provides access to the chiral magnetic effect of an unpaired Weyl cone
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Tri-Dirac Surface Modes in Topological Superconductors
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space
• Shot noise in NS junctions with Weyl superconductor