We theoretically study the interplays of electron–phonon interaction, inter-dot coupling tunneling and intralead electron interaction on transport properties of parallel-coupled double quantum dots connected to Luttinger liquid leads. The nonequilibrium Green’s function method is used. Numerical results show several intriguing physic phenomena. In the weak intralead electron interaction, there is a zero-bias antiresonance dip followed by phonon-assisted satellite peaks for strong electron–phonon interaction and inter-dot tunneling. With decreasing inter-dot tunneling, there is an evolution from satellite peaks to dips, which signifies the phase transition from phonon-assisted single-channel to two-channel Kondo physics. When the dot-lead coupling is asymmetric, in the case of moderately strong intralead interaction, strong electron–phonon coupling and weak inter-dot tunneling, there may appear the pronounced negative differential conductance and Fano resonance, while there does not when the coupling is symmetric. These results provide a convenient way to probe destructive quantum interference and extract information of the electron–phonon interaction strength, which is crucial for designing molecular switches and thermoelectric devices.

我们从理论上研究了电子-声子相互作用、点间耦合隧穿和引线内电子相互作用对平行耦合双晶硅输运特性的相互作用。 连接到 Luttinger 液体引线的量子点。使用非平衡格林函数方法。数值结果显示了几个有趣的物理现象。在弱的引线内电子相互作用中，存在零偏置反共振下降，随后是强电子-声子相互作用和点间隧穿的声子辅助卫星峰。随着点间隧穿的减少，从卫星峰到谷的演变，这意味着从声子辅助单通道到双通道 Kondo 物理的相变。当点-引线耦合不对称时，在中等强的引线内相互作用、强电子-声子耦合和弱点间隧穿的情况下，可能会出现明显的负微分电导和 Fano 共振，而当耦合是对称。热电装置。