開放系におけるトポロジカル物質の秘密を解き明かす: 非エルミート型ホップ束の発見(Unlocking the Secrets of Topological Matter in Open Systems: Discovering a Non-Hermitian Hopf Bundles)

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2023-11-28 韓国基礎科学研究院(IBS)

◆トポロジーは、連続変形に対して不変な幾何学的性質を扱う数学の分野であり、量子物質の理解を革新しています。研究チームは、複雑なホップバンドルを電気回路のネットワークで現実の物理系に実現し、非対称な結合など興味深い振る舞いを観測しました。
◆この発見は非ヘルミシアンなトポロジカル相の理解を深め、将来的には量子センサーアプリケーションに電気回路ネットワークを活用する可能性が広がります。

<関連情報>

非エルミート型ホップ束物質の実現 Realization of non-Hermitian Hopf bundle matter

Yung Kim,Hee Chul Park,Minwook Kyung,Kyungmin Lee,Jung-Wan Ryu,Oubo You,Shuang Zhang,Bumki Min & Moon Jip Park
Communications Physics  Published:27 September 2023
DOI:https://doi.org/10.1038/s42005-023-01381-z

開放系におけるトポロジカル物質の秘密を解き明かす: 非エルミート型ホップ束の発見(Unlocking the Secrets of Topological Matter in Open Systems: Discovering a Non-Hermitian Hopf Bundles)

Abstract

Non-trivial linking invariant encodes robust information of topological matter. It has been recently shown that the linking and winding of complex eigenenergy strings can classify one-dimensional non-Hermitian topological matter. However, in higher dimensions, bundles of linked strings can emerge such that every string is mutually linked with all the other strings. To the best of our knowledge, a non-Hermitian Hopf bundle has not been experimentally clarified. Here, we attempt to explore the non-Hermitian Hopf bundle by visualizing the global linking structure of spinor strings in the momentum space of a two-dimensional electric circuit. By exploiting the flexibility of reconfigurable couplings between circuit nodes, we study the non-Hermitian topological phase transition by exploring the intricate structure of the Hopf bundle. Furthermore, we find that the higher-order skin effect in real space is accompanied by the linking of spinor strings in momentum space, revealing bulk-boundary correspondence between the two domains.

1700応用理学一般
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