标题： 一维无序系统中的共振散射引起的热电势 显示英文标题

标题： Resonant scattering induced thermopower in one-dimensional disordered systems

摘要： 本研究分析了一维随机导体的热电性质，该导体表现出局域化效应，并同时包含产生尖锐电导共振的共振散射体。 这些尖锐特性导致有限系统中塞贝克系数的不同行为，并将局域化程度作为增强热电性能的手段，原则上可行。 对于非相互作用电子的模型，在兰道尔-布蒂克尔形式下进行讨论，使得在应用特殊平均方案的情况下，可以对广泛范围的性质进行解析处理。 平均过程中的近似通过数值计算进行测试，显示出良好的定性一致性，但在某些方面存在有限的定量不一致。 确定了低温下莫特公式的有效性，并为中间温度范围开发了一个良好的近似方法。 在两个范围内，分析了由于无序引起的安德森局域化与无序势的电导共振之间的复杂相互作用。 显示英文摘要

摘要： This study analyzes thermoelectric properties of a one-dimensional random conductor which shows localization effects and simultaneously includes resonant scatterers yielding sharp conductance resonances. These sharp features give rise to a distinct behavior of the Seebeck coefficient in finite systems and incorporate the degree of localization as a means to enhance thermoelectric performance, in principle. The model for non-interacting electrons is discussed within the Landauer-B\"uttiker formalism such that analytical treatment is possible for a wide range of properties, if a special averaging scheme is applied. The approximations in the averaging procedure are tested with numerical evaluations showing good qualitative agreement, with some limited quantitative disagreement. The validity of low-temperature Mott's formula is determined and a good approximation is developed for the intermediate temperature range. In both regimes the intricate interplay between Anderson localization due to disorder and conductance resonances of the disorder potential is analyzed.