We investigate the interplay between transport phenomena and quantum entanglement, focusing on the entanglement negativity EN, in noninteracting electronic systems. Our study considers a non-Hermitian two-dimensional (2D) stacked Su-Schrieffer-Heeger (SSH) lattice with nonreciprocal hopping amplitudes and balanced on-site gain and loss. We analyze how non-hermiticity, topology, and open-boundary conditions jointly shape the system's transport behavior and entanglement structure. In particular, we investigate how the phase boundary separating the purely real and real line-gapped phases influences the transport coefficients and the entanglement negativity. We analyze the behavior of both the electrical conductivity and EN at zero and finite temperatures. Furthermore, we examine the dependence of the Drude weight DS, which characterizes DC transport in the system, on the entanglement negativity, finding only a slight dependence of the conductivity on EN. Overall, our results highlight the tunability of electrical transport in non-Hermitian systems, providing insights for engineered quantum devices and novel topological materials where gain, loss, and non-hermiticity are intrinsic.
L. S. Lima (Fri,) studied this question.