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首页> 外文期刊>Physical review >Hopping thermoelectric transport in finite systems: Boundary effects
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Hopping thermoelectric transport in finite systems: Boundary effects

机译：在有限系统中跳跃热电输运：边界效应

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摘要

It is shown that for the hopping regime, the thermopowers in both finite two- and three-terminal systems are governed by the edges of the samples. This is due to the fact that the energy transfer between a transport electron and a conducting terminal is determined by the site most strongly coupled to that terminal. One-dimensional systems with both nearest-neighbor and variable-range transport as well as certain types of two-dimensional systems are considered. For a given sample, the changes in the thermopowers due to modifying the bulk are quite limited, compared with those of the conductance. When the small thermopower changes exist, their average over a large ensemble of mesoscopic samples will vanish. We also obtain the distribution of the thermopower in such an ensemble and show that its width approaches a finite limit with increasing sample length. This contrasts with the distribution of conductances in such systems, whose width vanishes in the long sample limit. Finally, we find that the thermal conductances in the three-terminal case have a boundary-dominated contribution, due to nonpercolating conduction paths. This contribution can become dominant when the usual conductance is small enough. All our theoretical statements are backed by numerical computations.
机译：结果表明，对于跳变状态，有限的两端子和三端子系统中的热功率均受样品边缘的控制。这是由于以下事实：传输电子和导电端子之间的能量转移由与该端子最牢固耦合的位置决定。考虑了具有最近邻居和可变范围传输的一维系统以及某些类型的二维系统。对于给定的样品，与电导相比，由于修改体积导致的热功率变化非常有限。当存在较小的热功率变化时，它们在大范围介观样品中的平均值将消失。我们还获得了这种集合中热电的分布，并表明随着样本长度的增加，热电的宽度接近有限的极限。这与此类系统中电导的分布形成对比，电导的分布宽度在长采样极限内消失。最后，我们发现由于无渗流的传导路径，在三端子情况下的热导具有边界支配作用。当通常的电导足够小时，该贡献将占主导地位。我们所有的理论陈述都得到数值计算的支持。

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  • 来源
    《Physical review》 |2013年第20期|205420.1-205420.12|共12页
  • 作者

    Jian-Hua Jiang; Ora Entin-Wohlman; Yoseph Imry;

  • 作者单位

    Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel,Department of Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China;

    Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel,Department of Physics and theIlse Katz Center for Meso- and Nano-Scale Science and Technology,Ben Gurion University, Beer Sheva 84105, Israel;

    Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel;

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  • 关键词

    mobility edges; hopping transport; thermoelectric and thermomagnetic effects; thermoelectric, electrogasdynamic and other direct energy;

    机译：流动性边缘;跳车运输;热电和热磁效应;热电;电气动力和其他直接能量;

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