Global topology of Weyl semimetals and Fermi arcs

Abstract

We provide a manifestly topological classification scheme for generalised Weyl semimetals, in any spatial dimension and with arbitrary Weyl surfaces which may be non-trivially linked. The classification naturally incorporates that of Chern insulators. Our analysis refines, in a mathematically precise sense, some well-known 3D constructions to account for subtle but important global aspects of the topology of semimetals. Using a fundamental locality principle, we derive a generalized charge cancellation condition for the Weyl surface components. We analyse the bulk-boundary correspondence under a duality transformation, which reveals explicitly the topological nature of the resulting surface Fermi arcs. We also analyse the effect of moving Weyl points on the bulk and boundary topological semimetal invariants.

9 pages, 4 figures, JPhysA Highlight in 2017, Free access in 2018

References in corpus (3)

• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• A Five Dimensional Generalization of the Topological Weyl Semimetal
• Classical Effects of Laser Pulse Duration on Strong-field Double Ionization

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• Winding Topology of Multifold Exceptional Points
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