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Performance analysis of an interacting quantum dot thermoelectric setup

机译:相互作用的量子点热电装置的性能分析

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In the absence of phonon contribution, a weakly coupled single orbital noninteracting quantum dot thermoelectric setup is known to operate reversibly as a Carnot engine. This reversible operation, however, occurs only in the ideal case of vanishing coupling to the contacts, wherein the transmission function is delta shaped, and under open-circuit conditions, where no electrical power is extracted. In this paper, we delve into the thermoelectric performance of quantum dot systems by analyzing the power output and efficiency directly evaluated from the nonequilibrium electric and energy currents across them. In the case of interacting quantum dots, the nonequilibrium currents in the limit of weak coupling to the contacts are evaluated using the Pauli master equation approach. The following fundamental aspects of the thermoelectric operation of a quantum dot setup are discussed in detail: (a) With a finite coupling to the contacts, a thermoelectric setup always operates irreversibly under open-circuit conditions, with a zero efficiency, (b) Operation at a peak efficiency close to the Carnot value is possible under a finite power operation. In the noninteracting single orbital case, the peak efficiency approaches the Carnot value as the coupling to the contacts becomes smaller. In the interacting case, this trend depends nontrivially on the interaction parameter U. (c) The evaluated trends of the maximum efficiency derived from the nonequilibrium currents deviate considerably from the conventional figure of merit zT-based results. Finally, we also analyze the interacting quantum dot setup for thermoelectric operation at maximum power output.
机译:在没有声子贡献的情况下,已知弱耦合的单轨道非相互作用量子点热电装置可作为卡诺发动机可逆地运行。然而,这种可逆的操作仅在理想的情况下才发生,即在与触点的耦合消失的情况下,其中传递函数为三角形,并且在开路条件下没有提取电力。在本文中,我们通过分析直接通过量子点系统的非平衡电流和能量流评估的功率输出和效率来研究量子点系统的热电性能。在相互作用量子点的情况下,使用Pauli主方程法评估了在与触点的弱耦合极限内的非平衡电流。详细讨论了量子点设置的热电操作的以下基本方面:(a)在与触点有限耦合的情况下,热电设置始终在开路条件下不可逆地运行,效率为零,(b)操作在有限功率操作下,峰值效率接近Carnot值是可能的。在非相互作用的单轨道情况下,随着与触点的耦合变小,峰值效率接近Carnot值。在相互作用的情况下,这种趋势非同寻常地取决于相互作用参数U。(c)从非平衡电流得出的最大效率的评估趋势与传统的基于zT的品质因数显着偏离。最后,我们还分析了在最大功率输出下热电运行的相互作用量子点设置。

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