Dynamical signatures of point-gap Weyl semimetal

Abstract

We demonstrate a few unique dynamical properties of point-gap Weyl semimetal, an intrinsic non-Hermitian topological phase in three dimensions. We consider a concrete model where a pair of Weyl points reside on the imaginary axis of the complex energy plane, opening up a point gap characterized by a topological invariant, the three-winding number $W_3$. This gives rise to surface spectra and dynamical responses that differ fundamentally from those in Hermitian Weyl semimetals. First, we predict a time-dependent current flow along the magnetic field in the absence of an electric field, in sharp contrast to the current driven by the chiral anomaly, which requires both electric and magnetic fields. Second, we reveal a novel type of boundary-skin mode in the wire geometry which becomes localized at two corners of the wire cross section. We explain its origin and show its experimental signatures in wave-packet dynamics.

arXiv comment16 pages,3+5 figures

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• Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra
• Bulk-boundary correspondence in point-gap topological phases
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• Non-Hermitian Dirac cones with valley-dependent lifetimes
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Floquet Exceptional Topological Insulator
• Anomalous second-order skin modes in Floquet non-Hermitian systems