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    Enhancement of persistent current in a non-Hermitian disordered ring

    Suparna Sarkar*, Soumya Satpathi*, and Swapan K. Pati†

    • *These authors contributed equally to this work.
    • †Contact author: pati@jncasr.ac.in

    Phys. Rev. B 112, 035425 – Published 28 July, 2025

    DOI: https://doi.org/10.1103/q4wb-dkys

    Abstract

    We study the Aharonov-Bohm flux-induced magnetic response of a disordered non-Hermitian ring. The disorder is introduced through an on-site quasiperiodic potential described by the Aubry-André-Harper (AAH) model, incorporating a complex phase that renders the model non-Hermitian. Our findings reveal that this form of non-Hermiticity enhances the persistent current without requiring hopping dimerization. We explore both noninteracting and interacting scenarios. In the former, we examine spinless fermions within the tight-binding (TB) framework, while in the latter, we consider spinful fermions with Hubbard interactions. We employ the density-matrix renormalization group (DMRG) method to find the ground state energy of the Hubbard Hamiltonian for larger system sizes. The non-Hermitian phase induces both real and imaginary components of the current. We thoroughly analyze the energy eigenspectrum, ground state energy, and persistent current in both real and imaginary spaces for various system parameters. Our primary goal is to investigate the combined effects of non-Hermiticity and disorder strength on persistent currents. We find an enhancement in both the real and imaginary components of the persistent current with increasing disorder strength and non-Hermiticity, up to a critical value. Furthermore, we observe an enhancement in the persistent current in the presence of Hubbard correlations. Our findings may provide a new route to get nontrivial characteristics in persistent currents for a special type of non-Hermitian systems.

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