%0 Journal Article %1 shang2024observation %A Shang, Ce %A Liu, Shuo %A Jiang, Caigui %A Shao, Ruiwen %A Zang, Xiaoning %A Lee, Ching Hua %A Thomale, Ronny %A Manchon, Aurélien %A Cui, Tie Jun %A Schwingenschlögl, Udo %B Advanced Science %D 2024 %I John Wiley & Sons, Ltd %J Adv. Sci. %K bulk-end circuit correspondence higher-order insulator lattice projective real topolectric topological %P 2303222 %R https://doi.org/10.1002/advs.202303222 %T Observation of a higher-order end topological insulator in a real projective lattice %U https://doi.org/10.1002/advs.202303222 %X 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.

@article{shang2024observation, abstract = {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.}, added-at = {2024-01-26T16:27:56.000+0100}, author = {Shang, Ce and Liu, Shuo and Jiang, Caigui and Shao, Ruiwen and Zang, Xiaoning and Lee, Ching Hua and Thomale, Ronny and Manchon, Aurélien and Cui, Tie Jun and Schwingenschlögl, Udo}, biburl = {https://www.bibsonomy.org/bibtex/2ed74d2d7b39f548e2a5b60fa1ab6bdca/ctqmat}, booktitle = {Advanced Science}, day = 12, doi = {https://doi.org/10.1002/advs.202303222}, interhash = {f1dc4b994190ab8b3308ef1a741f6a72}, intrahash = {ed74d2d7b39f548e2a5b60fa1ab6bdca}, issn = {21983844}, journal = {Adv. Sci.}, keywords = {bulk-end circuit correspondence higher-order insulator lattice projective real topolectric topological}, month = {01}, pages = 2303222, publisher = {John Wiley & Sons, Ltd}, timestamp = {2024-01-26T16:43:05.000+0100}, title = {Observation of a higher-order end topological insulator in a real projective lattice}, url = {https://doi.org/10.1002/advs.202303222}, year = 2024 }