论文标题
时间依赖性共振水平模型的热电研究
Thermoelectric study of the time-dependent Resonant Level Model
论文作者
论文摘要
我们研究了非相关时间依赖性的谐振水平模型，模仿了通过导线连接到两个电子储层的驱动量子点，并在不同的温度和电化学电位上持有。使用散射方法，我们提供了与时相关的粒子电流，热电流和输入驱动功率下的分析公式。当施加在DOT上的扰动是有限的持续时间时，我们还为相应的时间集成量得出了Landauer公式。然后，我们专注于单平脉冲的情况，对超出宽带极限的数值结果进行基准测试我们的分析结果，并对平滑的平方脉冲和周期性的方脉冲序列进行数值模拟。最后，我们讨论该设备在固定的Seebeck配置中的效率是否可以通过驱动DOT电位来增强。我们从数值上发现，在某些情况下观察到的效率的瞬态增加最终会在长时间长期取消。
We study the non-interacting time-dependent resonant level model mimicking a driven quantum dot connected through leads to two electronic reservoirs held at different temperatures and electrochemical potentials. Using a scattering approach, we provide analytical formulas of the time-dependent particle currents, heat currents, and input driving power under the wide-band limit approximation. We also derive Landauer formulas for the corresponding time-integrated quantities when the perturbation applied on the dot is of finite duration. Then, we focus on the case of a single square pulse, benchmark our analytical results against numerical ones that are valid beyond the wide-band limit, and perform numerical simulations for a smooth square pulse and a periodic square pulse train. Finally, we discuss whether the efficiency of the device in a stationary Seebeck configuration can be enhanced by driving the dot potential. We find numerically that the transient increase of the efficiency observed in some cases is eventually cancelled out at long times.
