Interplay of transport phenomena and quantum entanglement in generalized SSH model

Department of Physics, Federal Center for Technological Education of Minas Gerais 30510-000, Belo Horizonte, MG, Brazil

Received: 17 October 2025
Accepted: 5 March 2026

Abstract

We investigate the interplay between transport phenomena and quantum entanglement, focusing on the entanglement negativity E_N, 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 E_N at zero and finite temperatures. Furthermore, we examine the dependence of the Drude weight D_S, which characterizes DC transport in the system, on the entanglement negativity, finding only a slight dependence of the conductivity on E_N. 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.