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arXiv 1209.6249cond-mat.mtrl-sci
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体材料的拓扑相变

Topological phase transitions in bulk

Stanislav Chadov, Janos Kiss, Jürgen Kübler, Claudia Felser

摘要:

我们考虑的拓扑相变之间的类比发生在一个非平凡的绝缘体的表面上的空间坐标的函数,和一个发生在体由于内部参数(如晶体场和自旋轨道耦合)的变化。在这两种情况下,系统表现出狄拉克锥,这是拓扑相变的普遍表现,独立于驱动参数的类型。特别是,这导致了一个简单的方法来确定拓扑类的基础上,即使是大量的信息与平移对称打破原子无序或强电子相关的系统。在这里,我们证明了这一点的例子中的锌相关的半导体的{ \it ab-initio}完全相对论能带结构计算涉及的相干势近似(CPA)技术。

英文摘要:

We consider the analogy between the topological phase transition which occurs as a function of spatial coordinate on a surface of a non-trivial insulator, and the one which occurs in the bulk due to the change of internal parameters (such as crystal field and spin-orbit coupling). In both cases the system exhibits a Dirac cone, which is the universal manifestation of topological phase transition, independently on the type of driving parameters. In particular, this leads to a simple way of determining the topological class based solely on the bulk information even for the systems with translational symmetry broken by atomic disorder or by strong electron correlations. Here we demonstrate this on example of the zinc-blende related semiconductors by means of the {\it ab-initio} fully-relativistic band structure calculations involving the coherent potential approximation (CPA) technique.

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