Quantum anomalies in superconducting Weyl metals

Abstract

We theoretically study the quantum anomalies in the superconducting Weyl metals based on the topological field theory. It is demonstrated that the Fermi arc and the surface Andreev bound state, characteristic of the superconducting Weyl metals, are the manifestations of two underlying phenomenon, namely the chiral anomaly and the parity-like anomaly, respectively. The first anomaly is inherited from the Berry curvature around the original Weyl points, while the second is the result of the superconductivity. We show that, all the fascinating topological behavior of the superconducting Weyl metals, either intranode FFLO or the internode BCS pairing state, can be satisfactorily described and predicted by our topological field theory.

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Cited by in corpus (13)

• Nontrivial Berry phase and type II Dirac transport in layered material PdTe2
• Tip induced unconventional superconductivity on Weyl semimetal TaAs
• Self-biased current, magnetic interference response, and superconducting vortices in tilted Weyl semimetals with disorder
• Topological density-wave states in a particle-hole symmetric Weyl metal
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Kondo Signatures of a Quantum Magnetic Impurity in Topological Superconductors
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• Superconductivity provides access to the chiral magnetic effect of an unpaired Weyl cone
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Anomalous Hall effect in Weyl superconductors
• Equilibrium current in a Weyl-semimetal - superconductor heterostructure
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space