We propose a model for three-terminal thermionic heat engines based on semiconductor heterostructures. According to electron transport theory, we drive the formulas for the charge current and energy current flowing from the electron reservoir and we then obtain the power output and efficiency in the linear and nonlinear regimes. Furthermore, we analyze the performance characteristic of the thermionic heat engine and get the maximum power output by optimizing the performance parameters. Finally, we optimize the thermodynamic performance of the thermionic heat engine by maximizing the product of the power output and efficiency.

中文翻译：

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基于半导体异质结构的三端热离子热机

我们提出了一种基于半导体异质结构的三端热离子热机模型。根据电子传输理论，我们驱动了从电子储存器流出的充电电流和能量电流的公式，然后我们获得了线性和非线性状态下的功率输出和效率。此外，我们分析了热离子热机的性能特性，并通过优化性能参数来获得最大的功率输出。最后，我们通过最大化功率输出和效率的乘积来优化热离子热机的热力学性能。