拓扑金属中的安德森局域化
Anderson localization in topological metals
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中文总结 AI 辅助
本文研究拓扑金属在无序下是否保留非平凡特性，发现三维外尔半金属受拓扑保护免于安德森局域化，而狄拉克和节线半金属则不然，通过非量子化反常与装饰畴壁构造证明。
中文摘要 AI 辅助
我们探讨了拓扑金属（TM）在存在无序的情况下是否保留其非平凡特性这一问题。在干净情形下，问题在于什么保护了谱的无隙性，即TM中的能带接触节点；而在存在无序时，这一问题需要重新表述。无隙性概念在此情形下失去了其尖锐含义，因为谱隙可能被无序诱导的态所填充。仍然有意义的是纠缠：人们可以问，干净无隙TM的长程纠缠在存在无序时是否存活，或者换言之，非平凡拓扑是否保护TM免受安德森局域化。我们证明，这种保护存在于三维（3D）外尔半金属的情形中，但不存在于二维和三维（I型）狄拉克或三维节线半金属中。我们通过将非量子化反常作为TM拓扑响应的思想与装饰畴壁构造相结合来确立这一点，后者先前被用于讨论平均对称保护的拓扑绝缘相。
英文摘要
We address the question of whether topological metals (TM) retain their nontrivial characteristics in the presence of disorder. While in the clean case, the issue is what protects the gaplessness of the spectrum, i.e. the band-touching nodes in TM, this question needs to be reformulated in the presence of disorder. The concept of gaplessness loses its sharp meaning in this case, since spectral gaps can be filled in by disorder-induced states. What is still meaningful is entanglement: one may ask whether the long-range entanglement of the clean gapless TM survives in the presence of disorder or, in other words, whether nontrivial topology protects the TM from Anderson localization. We demonstrate that such a protection exists in the case of three-dimensional (3D) Weyl semimetals, but not in 2D and 3D (type-I) Dirac or 3D nodal line semimetals. We establish this by combining the idea of unquantized anomaly as the topological response of TM with the decorated domain wall construction, used previously to discuss average symmetry-protected topological insulating phases.
发表机构
- University of Waterloo（滑铁卢大学）
- Perimeter Institute for Theoretical Physics（珀蒂默理论物理研究所）
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