Personal Information
- (Professor)
Gender:
MaleDiscipline:
Acoustics. Optics. Condensed Matter PhysicsEducation Level:
With Certificate of Graduation for Doctorate StudyDiscipline:
1 Acoustics;
1 Optics;
1 Condensed Matter Physics
Other Contact Information
-
ZipCode
430072 -
PostalAddress
School of Physics and Technology, D303 -
email
phmxiao@whu.edu.cn
Publications
Current position: English > Research > Publications
Exact universal characterization of chiral-symmetric higher-order topological phases
- Time:2026-03-16
- Hits:
-
Journal:
Newton -
Abstract:
Utilizing a series of Bott indices formulated through polynomials of position operators, we establish a comprehensive framework for characterizing topological zero-energy corner states in systems with chiral symmetry. Our framework covers systems with arbitrary shape, including topological phases that are not characterizable by previously proposed invariants such as multipole moments or multipole chiral numbers. A key feature of our framework is its ability to capture the real-space pattern of zero-energy corner states. We provide a rigorous analytical proof of its higher-order correspondence. To demonstrate the effectiveness of our theory, we examine several model systems with representative patterns of zero-energy corner states that previous frameworks fail to classify. -
Volume:
2 -
Page Number:
100406 -
Translation or Not:
no -
Date of Publication:
2026-02-12