论文标题

纳米级热电现象的理论方法

Theoretical approaches for nanoscale thermoelectric phenomena

论文作者

Perroni, Carmine Antonio, Benenti, Giuliano

论文摘要

本章的重点是旨在分析纳米级热电特性的理论方法。我们讨论了几种相关的纳米设备设置的相关理论方法,这些方法提供了对线性和非线性状态中热电参数的估计,尤其是功绩的热电学图和发电效率折衷。此外,我们不仅分析了电子自由度的作用,而且分析了自由度的振动程度。首先,使用Landauer-Büttiker方法在量子相干制度中考虑了纳米级热电现象,并专注于能量滤波的效果。然后,我们分析了纳米结构自由度之间多体耦合的影响,例如电子电子和电子振动相互作用,这可以强烈影响热电转换。特别是,我们讨论了库仑封锁状态中的热电图值的增强,以从主方程开始,从电荷状态概率和通过电极的隧道速率开始。最后,在非平衡的绿色功能形式主义中,我们由于电子振动偶联和室温下传输的影响而在简单的分子连接模型中量化了热电性能的降低。

Focus of the chapter is on the theoretical approaches aimed to analyze thermoelectric properties at the nanoscale. We discuss several relevant theoretical approaches for different set-ups of nano-devices providing estimations of the thermoelectric parameters in the linear and non-linear regime, in particular the thermoelectric figure of merit and the power-efficiency trade-off. Moreover, we analyze the role of not only electronic, but also of vibrational degrees of freedom. First, nanoscale thermoelectric phenomena are considered in the quantum coherent regime using the Landauer-Büttiker method and focusing on effects of energy filtering. Then, we analyze the effects of many-body couplings between nano-structure degrees of freedom, such as electron-electron and electron-vibration interactions, which can strongly affect the thermoelectric conversion. In particular, we discuss the enhancement of the thermoelectric figure of merit in the Coulomb blockade regime for a quantum dot model starting from the master equation for charge state probabilities and the tunneling rates through the electrodes. Finally, within the non-equilibrium Green function formalism, we quantify the reduction of the thermoelectric performance in simple models of molecular junctions due to the effects of the electron-vibration coupling and phonon transport at room temperature.

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