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Delocalization of topological edge states
- Source :
- Physical Review B. 103
- Publication Year :
- 2021
- Publisher :
- American Physical Society (APS), 2021.
-
Abstract
- The non-Hermitian skin effect (NHSE) in non-Hermitian lattice systems depicts the exponential localization of eigenstates at system's boundaries. It has led to a number of counter-intuitive phenomena and challenged our understanding of bulk-boundary correspondence in topological systems. This work aims to investigate how the NHSE localization and topological localization of in-gap edge states compete with each other, with several representative static and periodically driven 1D models, whose topological properties are protected by different symmetries. The emerging insight is that at critical system parameters, even topologically protected edge states can be perfectly delocalized. In particular, it is discovered that this intriguing delocalization occurs if the real spectrum of the system's edge states falls on the same system's complex spectral loop obtained under the periodic boundary condition. We have also performed sample numerical simulation to show that such delocalized topological edge states can be safely reconstructed from time-evolving states. Possible applications of delocalized topological edge states are also briefly discussed.<br />Comment: 9 pages, 8 figures, comments are welcome
- Subjects :
- Physics
Quantum Physics
Condensed Matter - Mesoscale and Nanoscale Physics
FOS: Physical sciences
02 engineering and technology
State (functional analysis)
Edge (geometry)
021001 nanoscience & nanotechnology
Topology
01 natural sciences
Loop (topology)
Lattice (module)
Delocalized electron
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
0103 physical sciences
Homogeneous space
Periodic boundary conditions
Quantum Physics (quant-ph)
010306 general physics
0210 nano-technology
Eigenvalues and eigenvectors
Subjects
Details
- ISSN :
- 24699969 and 24699950
- Volume :
- 103
- Database :
- OpenAIRE
- Journal :
- Physical Review B
- Accession number :
- edsair.doi.dedup.....c72c683b2cce28f9d6de2c74b24851cf