Unified characterization for higher-order topological phase transitions

Autor: Wei Jia, Xin-Chi Zhou, Lin Zhang, Long Zhang, Xiong-Jun Liu
Jazyk: angličtina
Rok vydání: 2023
Předmět:
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