Transport properties in a Non-Hermitian triple-quantum-dot structure

Abstract

In this work, we study the effect of $\mathcal{P}\mathcal{T}$-symmetric complex potentials on the transport properties of one non-Hermitian system, which is formed by the coupling between a triple-quantum-dot molecule and two semi-infinite leads. As a result, it is found that the $\mathcal{P}\mathcal{T}$-symmetric imaginary potentials take pronounced effects on transport properties of such a system, including changes from antiresonance to resonance, shift of antiresonance, and occurrence of new antiresonance, which are determined by the interdot and dot-lead coupling manners. This study can be helpful in understanding the quantum transport behaviors modified by the $\mathcal{P}\mathcal{T}$ symmetry in non-Hermitian discrete systems.

8 pages, 9 figures