Bulk-local-density-of-state correspondence in topological insulators

Biye Xie, Renwen Huang, Shiyin Jia, Zemeng Lin, Junzheng Hu, Yao Jiang, Shaojie Ma, Peng Zhan (), Minghui Lu (), Zhenlin Wang, Yanfeng Chen and Shuang Zhang ()
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Biye Xie: The University of Hong Kong
Renwen Huang: Nanjing University
Shiyin Jia: Nanjing University
Zemeng Lin: The University of Hong Kong
Junzheng Hu: Nanjing University
Yao Jiang: Nanjing University
Shaojie Ma: The University of Hong Kong
Peng Zhan: Nanjing University
Minghui Lu: Nanjing University
Zhenlin Wang: Nanjing University
Yanfeng Chen: Nanjing University
Shuang Zhang: The University of Hong Kong

Nature Communications, 2023, vol. 14, issue 1, 1-8

Abstract: Abstract In the quest to connect bulk topological quantum numbers to measurable parameters in real materials, current established approaches often necessitate specific conditions, limiting their applicability. Here we propose and demonstrate an approach to link the non-trivial hierarchical bulk topology to the multidimensional partition of local density of states (LDOS), denoted as the bulk-LDOS correspondence. In finite-size topologically nontrivial photonic crystals, we observe the LDOS partitioned into three distinct regions: a two-dimensional interior bulk area, a one-dimensional edge region, and zero-dimensional corner sites. Contrarily, topologically trivial cases exhibit uniform LDOS distribution across the entire two-dimensional bulk area. Our findings provide a general framework for distinguishing topological insulators and uncovering novel aspects of topological directional band-gap materials, even in the absence of in-gap states.

Date: 2023
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DOI: 10.1038/s41467-023-42449-2

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