Dipolar Weyl semimetals

Abstract

In time-reversal symmetry-broken Weyl semimetals, Weyl points act as monopoles and antimonopoles of the Berry curvature, with a monopole-antimonopole pair producing a net zero Berry flux. The two-dimensional (2D) planes that separate a monopole-antimonopole pair of Weyl points carry quantized Berry flux. In this work, we introduce a class of symmetry-protected Weyl semimetals which host monopole-antimonopole pairs of Weyl points that generate a quantized dipolar Berry flux. Consequently, topologically distinct 2D planes coexist in the Brillouin zone, carrying either quantized monopolar or dipolar flux. We construct a topological invariant -- the staggered Chern number -- to measure the quantized dipolar flux and employ it to topologically distinguish between various Weyl points. Finally, through a minimal two-band model, we investigate physical signatures of bulk topology, including surface Fermi arcs, zero-energy hinge states, and response to insertion of a $\pi$-flux vortex.

12 pages; 9 figures

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Cited by in corpus (4)

• Berry-dipole Semimetals
• Cubic Dirac Semimetals: General Theory and Application to Rare-Earth Magnets
• Hopf Semimetals
• Correlated Hopf insulators