Unified characterization for higher-order topological phase transitions
- URL: http://arxiv.org/abs/2209.10394v3
- Date: Fri, 14 Apr 2023 01:28:22 GMT
- Title: Unified characterization for higher-order topological phase transitions
- Authors: Wei Jia, Xin-Chi Zhou, Lin Zhang, Long Zhang, and Xiong-Jun Liu
- Abstract summary: We propose a momentum-space topological characterization of the HOTPTs.
Our work opens an avenue to characterize and detect the two types of HOTPTs within a unified framework.
- Score: 11.78759194040717
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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 the both transitions are captured
in real space and characterized separately. Here we propose a momentum-space
topological characterization of the HOTPTs, which unifies the both types of
topological transitions and enables a precise detection by quench dynamics. Our
unified characterization is based on a novel correspondence between the mass
domain walls on real-space boundaries and the higher-order band-inversion
surfaces (BIS) which are characteristic interfaces in the momentum subspace.
The 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 the type-I (type-II) HOTPTs.
These distinct dynamical behaviours 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 the research in both theory and
experiment.
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