Autor: |
Wei Jia, Xin-Chi Zhou, Lin Zhang, Long Zhang, Xiong-Jun Liu |
Jazyk: |
angličtina |
Rok vydání: |
2023 |
Předmět: |
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Zdroj: |
Physical Review Research, Vol 5, Iss 2, p L022032 (2023) |
Druh dokumentu: |
article |
ISSN: |
2643-1564 |
DOI: |
10.1103/PhysRevResearch.5.L022032 |
Popis: |
Higher-order topological phase transitions (HOTPTs) are associated with closing either the bulk energy gap (type-I) or boundary energy gap (type-II) without changing symmetry, and conventionally, both transitions are captured in real space and characterized separately. Here, we propose a momentum-space topological characterization of HOTPTs which unifies both types of topological transitions and enables a precise detection by quench dynamics. Our unified characterization is based on a correspondence between mass domain walls on real-space boundaries and higher-order band-inversion surfaces (BISs) which are characteristic interfaces in the momentum subspace. Topological transitions occur when momentum-space topological nodes, dubbed higher-order topological charges, cross the higher-order BISs after proper projection. Particularly, the bulk (boundary) gap closes when all (part of) topological charges cross the BISs, characterizing type-I (type-II) HOTPTs. These distinct dynamical behaviors of higher-order topological charges can be feasibly measured from quench dynamics driven with control in experiments. Our work opens an avenue to characterize and detect the two types of HOTPTs within a unified framework and shall advance research in both theory and experiments. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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