Topological insulators are frequently also one of the best-known thermoelectric materials. It has been recently discovered that in three-dimensional (3D) topological insulators each skew dislocation can host a pair of one-dimensional (1D) topological states—a helical Tomonaga–Luttinger liquid (TLL). We derive exact analytical formulae for thermoelectric Seebeck coefficient in TLL and investigate up to what extent one can ascribe the outstanding thermoelectric properties of Bi2Te3 to these 1D topological states. To this end we take a model of a dense dislocation network and find an analytic formula for an overlap between 1D (the TLL) and 3D electronic states. Our study is applicable to a weakly n-doped Bi2Te3 but also to a broader class of nano-structured materials with artificially created 1D systems. Furthermore, our results can be used at finite frequency settings, e.g. to capture transport activated by photo-excitations.

中文翻译：

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一维拓扑态对 Bi 2 Te 3 非凡热电性能的贡献

拓扑绝缘体通常也是最著名的热电材料之一。最近发现，在三维 (3D) 拓扑绝缘体中，每个斜位错都可以承载一对一维 (1D) 拓扑状态——螺旋 Tomonaga-Luttinger 液体 (TLL)。我们推导出 TLL 中热电塞贝克系数的精确解析公式，并研究在多大程度上可以将 Bi2Te3 的出色热电性能归因于这些一维拓扑状态。为此，我们采用密集位错网络模型，并找到 1D（TLL）和 3D 电子态之间重叠的解析公式。我们的研究适用于弱 n 掺杂的 Bi2Te3，但也适用于更广泛的具有人工创建的一维系统的纳米结构材料。此外，