Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
Nanyang Technological University · Australian National University · +3 more institutions
Abstract
We analyze chiral topological edge modes in a non-Hermitian variant of the 2D Dirac equation. Such modes appear at interfaces between media with different "masses" and/or signs of the "non-Hermitian charge." The existence of these edge modes is intimately related to exceptional points of the bulk Hamiltonians, i.e., degeneracies in the bulk spectra of the media. We find that the topological edge modes can be divided into three families ("Hermitian-like," "non-Hermitian," and "mixed"); these are characterized by two winding numbers, describing two distinct kinds of half-integer charges carried by the exceptional points. We show that all the above types of topological edge modes can be realized in honeycomb…
Citation impact
- FWCI
- 56.54
- Percentile
- 100%
- References
- 52
Authors
5Topics & keywords
- Hermitian matrix
- Physics
- Winding number
- Topological quantum number
- Enhanced Data Rates for GSM Evolution
- Charge (physics)
- Topology (electrical circuits)
- Spectral line
Funding
- JTJohn Templeton Foundation
- NRNational Research Foundation
- NRNational Research Foundation SingaporeAward: NRFF2012-02
- MOMinistry of Education - SingaporeAward: MOE2015-T2-2-008
- MOMinistry of Education, IndiaAward: CREST
- IFInstitute for Basic Science
- MUMultidisciplinary University Research Initiative
- ARAustralian Research Council
- RRIKEN
- CRCore Research for Evolutional Science and Technology
- AFAir Force Office of Scientific ResearchAwards: FA9550-, FA9550, FA9550-14-1-0040