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In recent years, non-Hermitian (NH) topological semimetals have garneredsignificant attention due to their unconventional properties. In this work, weexplore the transport properties of a three-dimensional dissipative Weylsemi-metal formed as a result of the stacking of two-dimensional Cherninsulators. We find that unlike Hermitian systems where the Hall conductance isquantized, in presence of non-Hermiticity, the quantized Hall conductancestarts to deviate from its usual nature. We show that the non-quantized natureof the Hall conductance in such NH topological systems is intimately connectedto the presence of exceptional points (EPs). We find that in the case of openboundary conditions, the transition from a topologically trivial regime to anon-trivial topological regime takes place at a different value of the momentumthan that of the periodic boundary spectra. This discrepancy is solved byconsidering the non-Bloch case and the generalized Brillouin zone (GBZ).Finally, we present the Hall conductance evaluated over the GBZ and connect itto the separation between the Weyl nodes, within the non-Bloch theory.

Transport properties of a non-Hermitian Weyl semimetal