气候变化领域集成服务门户(CCPortal): Twisted bulk-boundary correspondence of fragile topology

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DOI	10.1126/science.aaz7650
	Twisted bulk-boundary correspondence of fragile topology
	Song Z.-D.; Elcoro L.; Andrei Bernevig B.
发表日期	2020
ISSN	0036-8075
起始页码	794
结束页码	797
卷号	367 期号:6479
英文摘要	A topological insulator reveals its nontrivial bulk through the presence of gapless edge states: This is called the bulk-boundary correspondence. However, the recent discovery of “fragile” topological states with no gapless edges casts doubt on this concept. We propose a generalization of the bulk-boundary correspondence: a transformation under which the gap between the fragile phase and other bands must close. We derive specific twisted boundary conditions (TBCs) that can detect all the two-dimensional eigenvalue fragile phases. We develop the concept of real-space invariants, local good quantum numbers in real space, which fully characterize these phases and determine the number of gap closings under the TBCs. Realizations of the TBCs in metamaterials are proposed, thereby providing a route to their experimental verification. © 2020 American Association for the Advancement of Science. All rights reserved.
关键词	boundary condition eigenvalue experimental study insulation quantum mechanics topology article writing
语种	英语
来源机构	Science
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/133704
推荐引用方式 GB/T 7714	Song Z.-D.,Elcoro L.,Andrei Bernevig B.. Twisted bulk-boundary correspondence of fragile topology[J]. Science,2020,367(6479).
APA	Song Z.-D.,Elcoro L.,&Andrei Bernevig B..(2020).Twisted bulk-boundary correspondence of fragile topology.,367(6479).
MLA	Song Z.-D.,et al."Twisted bulk-boundary correspondence of fragile topology".367.6479(2020).