Probing chiral-symmetric higher-order topological insulators with multipole winding number

IF 5.4 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Communications Physics Pub Date : 2024-12-04 DOI:10.1038/s42005-024-01884-3
Ling Lin, Chaohong Lee
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Abstract

The interplay between crystalline symmetry and band topology gives rise to unprecedented lower-dimensional boundary states in higher-order topological insulators (HOTIs). However, the measurement of the topological invariants of HOTIs remains a significant challenge. Here, we define a multipole winding number (MWN) for chiral-symmetric HOTIs by applying a corner twisted boundary condition. The MWN, arising from both bulk and boundary states, accurately captures the bulk-corner correspondence including boundary-obstructed topological phases. To address the measurement challenge, we leverage the perturbative nature of the corner twisted boundary condition and develop a real-space approach for determining the MWN in both two-dimensional and three-dimensional systems. The real-space formula provides an experimentally viable strategy for directly probing the topology of chiral-symmetric HOTIs through dynamical evolution. Our findings not only highlight the twisted boundary condition as a powerful tool for investigating HOTIs, but also establish a paradigm for exploring real-space formulas for the topological invariants of HOTIs. Topological invariants are critical in characterizing higher-order topological insulators. In this work, the authors show how to define a multipole winding number that can capture the bulk-corner correspondence, including boundary obstructed topological phases. An experimental proposal complements the theoretical one.

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探测具有多极圈数的手性对称高阶拓扑绝缘子
在高阶拓扑绝缘体(HOTIs)中,晶体对称性和带拓扑结构之间的相互作用产生了前所未有的低维边界态。然而,测量HOTIs的拓扑不变量仍然是一个重大的挑战。本文应用角扭边界条件,定义了手性对称hoti的多极圈数。由体态和边界态产生的MWN准确地捕获了包括边界阻塞拓扑相位在内的体角对应。为了解决测量挑战,我们利用角扭曲边界条件的微扰性质,并开发了一种用于确定二维和三维系统中的MWN的实空间方法。实空间公式为通过动态演化直接探测手性对称HOTIs的拓扑结构提供了一种实验上可行的策略。我们的发现不仅突出了扭曲边界条件作为研究hoti的有力工具,而且为探索hoti的拓扑不变量的实空间公式建立了一个范式。拓扑不变量是表征高阶拓扑绝缘子的关键。在这项工作中,作者展示了如何定义一个多极绕组数,可以捕获体角对应,包括边界受阻的拓扑相。一个实验方案补充了理论方案。
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来源期刊
Communications Physics
Communications Physics Physics and Astronomy-General Physics and Astronomy
CiteScore
8.40
自引率
3.60%
发文量
276
审稿时长
13 weeks
期刊介绍: Communications Physics is an open access journal from Nature Research publishing high-quality research, reviews and commentary in all areas of the physical sciences. Research papers published by the journal represent significant advances bringing new insight to a specialized area of research in physics. We also aim to provide a community forum for issues of importance to all physicists, regardless of sub-discipline. The scope of the journal covers all areas of experimental, applied, fundamental, and interdisciplinary physical sciences. Primary research published in Communications Physics includes novel experimental results, new techniques or computational methods that may influence the work of others in the sub-discipline. We also consider submissions from adjacent research fields where the central advance of the study is of interest to physicists, for example material sciences, physical chemistry and technologies.
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