弯曲能带的态密度
Density of States for Warped Energy Bands
摘要：
一个角有效质量的形式主义先前介绍的是用来研究态密度的扭曲和非扭曲的能带。能带弯曲可能会或可能不会增加态密度有效质量。能带“Z”，指的是在孤立的临界点处偏离“更严重”的二次可微的能量色散，也可以独立于态密度有效质量和能带弯曲参数而变化。我们证明了这些效果和角有效质量处理立方材料的价带能量色散的优越性。我们还提供了一些二维的物理和数学的例子，可能是相关的异质结构和表面的能带翘曲的研究。这些例子也可能是有用的，在澄清可能的带翘曲和带非抛物线的非简并导带最小值在相应的兴趣热电材料之间的相互作用。
英文摘要：
An angular effective mass formalism previously introduced is used to study the density of states in warped and non-warped energy bands. Band warping may or may not increase the density-of-states effective mass. Band "corrugation," referring to energy dispersions that deviate "more severely" from being twice-differentiable at isolated critical points, may also vary independently of density-of-states effective masses and band warping parameters. We demonstrate these effects and the superiority of an angular effective mass treatment for valence band energy dispersions in cubic materials. We also provide some two-dimensional physical and mathematical examples that may be relevant to studies of band warping in heterostructures and surfaces. These examples may also be useful in clarifying the interplay between possible band warping and band non-parabolicity for non-degenerate conduction band minima in thermoelectric materials of corresponding interest.
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