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Generalized bulk-edge correspondence for non-Hermitian topological systems
- Source :
- Physical Review B. 100
- Publication Year :
- 2019
- Publisher :
- American Physical Society (APS), 2019.
-
Abstract
- A modified periodic boundary condition adequate for non-hermitian topological systems is proposed. Under this boundary condition a topological number characterizing the system is defined in the same way as in the corresponding hermitian system and hence, at the cost of introducing an additional parameter that characterizes the non-hermitian skin effect, the idea of bulk-edge correspondence in the hermitian limit can be applied almost as it is. We develop this framework through the analysis of a non-hermitian SSH model with chiral symmetry, and prove the bulk-edge correspondence in a generalized parameter space. A finite region in this parameter space with a nontrivial pair of chiral winding numbers is identified as topologically nontrivial, indicating the existence of a topologically protected edge state under open boundary.<br />Comment: 8 pages, 6 figures with 11 panels, updated version
- Subjects :
- Physics
Condensed Matter - Mesoscale and Nanoscale Physics
FOS: Physical sciences
Boundary (topology)
02 engineering and technology
State (functional analysis)
Parameter space
Edge (geometry)
021001 nanoscience & nanotechnology
Topology
01 natural sciences
Hermitian matrix
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
0103 physical sciences
Periodic boundary conditions
Boundary value problem
Limit (mathematics)
010306 general physics
0210 nano-technology
Subjects
Details
- ISSN :
- 24699969 and 24699950
- Volume :
- 100
- Database :
- OpenAIRE
- Journal :
- Physical Review B
- Accession number :
- edsair.doi.dedup.....f182991ad01b137442975f9f58af8d07