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We consider one system in which the terminal dots of a one-dimensionalquantum-dot chain couple equally to the left and right leads and study theinfluence of $\mathcal{PT}$-symmetric complex potentials on the quantumtransport process. It is found that in the case of the Hermitian Hamiltonian,remarkable decoupling and antiresonance phenomena have an opportunity toco-occur in the transport process. For the chains with odd(even) dots, alltheir even(odd)-numbered molecular states decouple from the leads. Meanwhile,antiresonance occurs at the positions of the even(odd)-numbered eigenenergiesof the sub-chains without terminal dots. When the $\mathcal{PT}$-symmetriccomplex potentials are introduced to the terminal dots, the decouplingphenomenon is found to transform into the Fano antiresonance. In addition, itshows that appropriate magnetic flux can interchange the roles of the odd andeven molecular states. These results can assist to understand the quantumtransport modified by the $\mathcal{PT}$ symmetry in non-Hermitian discretesystems.

Influence of $\mathcal{PT}$-symmetric complex potentials on the decoupling mechanism in quantum transport process