摘要: 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.