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We investigate novel features of three dimensional non-Hermitian Weylsemimetals, paying special attention to its unconventional bulk-boundarycorrespondence. We use the non-Bloch Chern numbers as the tool to obtain thetopological phase diagram, which is also confirmed by the energy spectra fromour numerical results. It is shown that, in sharp contrast to Hermitiansystems, the conventional (Bloch) bulk-boundary correspondence breaks down innon-Hermitian topological semimetals, which is caused by the non-Hermitian skineffect. We establish the non-Bloch bulk-boundary correspondence fornon-Hermitian Weyl semimetals: the Fermi-arc edge modes are determined by thenon-Bloch Chern number of the bulk bands. Moreover, these Fermi-arc edge modescan manifest as the unidirectional edge motion, and their signatures areconsistent with the non-Bloch bulk-boundary correspondence. Our work establishthe non-Bloch bulk-boundary correspondence for non-Hermitian topologicalsemimetals.

Non-Hermitian Weyl Semimetals: Non-Hermitian Skin Effect and non-Bloch Bulk-Boundary Correspondence