ArticleAdvanced science (Weinheim, Baden-Wurttemberg, Germany)2024
Observation of a Higher-Order End Topological Insulator in a Real Projective Lattice.
Article in Advanced science (Weinheim, Baden-Wurttemberg, Germany), 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed, 19 citations in OpenAlex.
- Deep-learning-empowered programmable topolectrical circuits.Nature communications · 2026Article
- Protected Chaos in a Topological Lattice.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Octupole topological insulating phase protected by a three-dimensional momentum-space nonsymmorphic group.National science review · 2025Article
- Observation of higher-order time-dislocation topological modes.Nature communications · 2025Article
- Realization of higher-order topological lattices on a quantum computer.Nature communications · 2024Article
- Observation of a Higher-Order End Topological Insulator in a Real Projective Lattice.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2024Article
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Authors and funding
10 authors at 6 institutions in 5 countries.
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Abstract
The modern theory of quantized polarization has recently extended from 1D dipole moment to multipole moment, leading to the development from conventional topological insulators (TIs) to higher-order TIs, i.e., from the bulk polarization as primary topological index, to the fractional corner charge as secondary topological index. The authors here extend this development by theoretically discovering a higher-order end TI (HOETI) in a real projective lattice and experimentally verifying the prediction using topolectric circuits. A HOETI realizes a dipole-symmetry-protected phase in a higher-dimensional space (conventionally in one dimension), which manifests as 0D topologically protected end states and a fractional end charge. The discovered bulk-end correspondence reveals that the fractional end charge, which is proportional to the bulk topological invariant, can serve as a generic bulk probe of higher-order topology. The authors identify the HOETI experimentally by the presence of localized end states and a fractional end charge. The results demonstrate the existence of fractional charges in non-Euclidean manifolds and open new avenues for understanding the interplay between topological obstructions in real and momentum space.
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