Non-equilibrium magneto-transport properties of a quantum dot dimer transistor are studied in the presence of electron–electron and electron–phonon interactions and the interaction of the dimer phonons with the substrate phonon bath that gives rise to dissipation. The entire system is modeled by the Anderson–Holstein–Caldeira–Leggett Hamiltonian where the Caldeira–Leggett term takes care of the damping. The electron–phonon interaction is dealt with the Lang–Firsov transformation and the electron–electron interaction is treated at the mean-field level. The transport problem is studied using the Keldysh non-equilibrium Green function theory and the effects of electron–electron interaction, external magnetic field, electron–phonon interaction and damping on spectral function, tunneling current and differential conductance of the dimer transistor are calculated.

研究了存在电子-电子和电子-声子相互作用以及二聚体声子与基底声子浴的相互作用导致耗散的情况下量子点二聚体晶体管的非平衡磁传输特性。整个系统由 Anderson-Holstein-Caldeira-Leggett 哈密顿量建模，其中 Caldeira-Leggett 项负责阻尼。电子-声子相互作用通过 Lang-Firsov 变换处理，电子-电子相互作用在平均场水平处理。利用凯尔迪什非平衡格林函数理论研究了输运问题，计算了电子-电子相互作用、外磁场、电子-声子相互作用和阻尼对二聚体晶体管谱函数、隧道电流和微分电导的影响。