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arXiv 1807.06314cond-mat.mtrl-sci
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Pb_{1-x} Sn_{x} Te向非平凡拓扑相转变的合金加宽

Alloy broadening of the transition to the non-trivial topological phase of Pb_{1-x}Sn_{x}Te

A. Lusakowski, P. Boguslawski, T. Story

摘要:

Pb_{1-x} Sn_{x} Te合金的拓扑平凡相和非平凡相之间的转变是由增加Sn的含量$x$或由$x<0.3$的静水压力驱动的。我们表明,这两个拓扑结构之间的尖锐边界只存在于虚晶体近似。在更现实的模型中,特殊准随机结构方法和超原胞方法(在各种原子构型上求平均),跃迁被加宽。我们发现一个令人惊讶的大区间的合金组成,$0.3<x<0.6$,其中的能隙几乎为零。对于由静水压力驱动的跃迁,也得到了类似的强加宽。能带结构的分析表明,合金的展宽是由于Pb和Sn的化学性质不同引起的能带分裂以及空间无序导致的晶体对称性降低所致。基于我们对Pb_{1-x} Sn_{x} Te的从头算和紧束缚计算结果,我们讨论了区分合金能带结构的平凡和非平凡拓扑的不同判据。

英文摘要:

Transition between the topologically trivial and non-trivial phase of Pb_{1-x}Sn_{x}Te alloy is driven by the increasing content $x$ of Sn, or by the hydrostatic pressure for $x<0.3$. We show that a sharp border between these two topologies exists in the Virtual Crystal Approximation only. In more realistic models, the Special Quasirandom Structure method and the supercell method (with averaging over various atomic configurations), the transitions are broadened. We find a surprisingly large interval of alloy composition, $0.3<x<0.6$, in which the energy gap is practically vanishing. A similar strong broadening is also obtained for transitions driven by hydrostatic pressure. Analysis of the band structure shows that the alloy broadening originates in splittings of the energy bands caused by the different chemical nature of Pb and Sn, and by the decreased crystal symmetry due to spatial disorder. Based on our results of ab initio and tight binding calculations for Pb_{1-x}Sn_{x}Te we discuss different criteria of discrimination between trivial and nontrivial topology of the band structure of alloys.

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