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Influence of Dimensionality on Thermoelectric Device Performance

机译:尺寸对热电器件性能的影响

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摘要

The role of dimensionality on the electronic performance of thermoelectricdevices is clarified using the Landauer formalism, which shows that thethermoelectric coefficients are related to the transmission, T(E), and how theconducing channels, M(E), are distributed in energy. The Landauer formalismapplies from the ballistic to diffusive limits and provides a clear way tocompare performance in different dimensions. It also provides a physicalinterpretation of the "transport distribution," a quantity that arises in theBoltzmann transport equation approach. Quantitative comparison ofthermoelectric coefficients in one, two, and three dimension shows that thechannels may be utilized more effectively in lower-dimensions. To realize theadvantage of lower dimensionality, however, the packing density must be veryhigh, so the thicknesses of the quantum wells or wires must be small. Thepotential benefits of engineering M(E) into a delta-function are alsoinvestigated. When compared to a bulk semiconductor, we find the potential for~50 % improvement in performance. The shape of M(E) improves as dimensionalitydecreases, but lower dimensionality itself does not guarantee betterperformance because it is controlled by both the shape and the magnitude ofM(E). The benefits of engineering the shape of M(E) appear to be modest, butapproaches to increase the magnitude of M(E) could pay large dividends.
机译:使用Landauer形式主义阐明了尺寸对热电设备电子性能的作用,该关系表明热电系数与透射率T(E)以及导电通道M(E)如何分布在能量中有关。 Landauer形式主义适用于弹道限制和扩散限制,并提供了一种清晰的方法来比较不同维度的性能。它还提供了对“传输分布”的物理解释,该分布是在玻耳兹曼传输方程方法中产生的。一维,二维和三维热电系数的定量比较表明,这些通道可在较低维度上得到更有效的利用。然而,为了实现较低尺寸的优势,堆积密度必须很高,因此量子阱或导线的厚度必须很小。还研究了将M(E)工程化为增量函数的潜在好处。与块状半导体相比,我们发现性能可能提高约50%。 M(E)的形状随着尺寸的减小而改善,但是较低的尺寸本身不能保证更好的性能,因为它受M(E)的形状和大小的控制。设计M(E)形状的好处似乎不大,但是增加M(E)大小的方法可能会带来很多好处。

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