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Thermoelectric performance of strongly correlated quantum impurity models

机译：强相关量子杂质模型的热电性能

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摘要

We derive asymptotically exact expressions for the thermopower and figure of merit of a quantum impurity connecting two noninteracting leads in the linear response regime where the chemical potential and temperature differences between the leads are small. Based on sum rules for the single-particle impurity spectral function, these expressions become exact at high temperatures as well as in the very strongly correlated regime, where the impurity Coulomb repulsion is much larger than the temperature. Although modest interactions impede thermoelectric performance, a very large Coulomb scale restores the optimal transport properties of noninteracting electrons, albeit renormalized to account for the absence of double occupancy in the impurity. As with noninteracting electrons, the electronic contribution to the figure of merit is limited only by the spectral broadening that arises from the coupling between the impurity and the leads.
机译：在线性响应范围内，当引线之间的化学势和温度差较小时，我们得出了连接两个非相互作用引线的量子杂质的热功率和品质因数的渐近精确表达式。基于单粒子杂质光谱函数的求和规则，这些表达式在高温以及非常强相关的状态下变得精确，在该状态下，杂质库仑斥力远大于温度。尽管适度的相互作用会阻碍热电性能，但很大的库仑规模可恢复非相互作用电子的最佳传输性能，尽管经过重新规范化以解决杂质中没有双重占据的问题。与非相互作用电子一样，电子对品质因数的贡献仅受杂质和引线之间耦合产生的光谱展宽的限制。

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