Abstract
The bulk-boundary correspondence is among the central issues of non-Hermitian topological states. We show that a previously overlooked "non-Hermitian skin effect" necessitates redefinition of topological invariants in a generalized Brillouin zone. The resultant phase diagrams dramatically differ from the usual Bloch theory. Specifically, we obtain the phase diagram of the non-Hermitian Su-Schrieffer-Heeger model, whose topological zero modes are determined by the non-Bloch winding number instead of the Bloch-Hamiltonian-based topological number. Our work settles the issue of the breakdown of conventional bulk-boundary correspondence and introduces the non-Bloch bulk-boundary correspondence.
Keywords
Hermitian matrixPhysicsEnhanced Data Rates for GSM EvolutionTheoretical physicsTopology (electrical circuits)Quantum mechanicsMathematicsComputer scienceCombinatoricsTelecommunications
Affiliated Institutions
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Publication Info
- Year
- 2018
- Type
- article
- Volume
- 121
- Issue
- 8
- Pages
- 086803-086803
- Citations
- 1993
- Access
- Closed
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Cite This
Shunyu Yao,
Zhong Wang
(2018).
Edge States and Topological Invariants of Non-Hermitian Systems.
Physical Review Letters
, 121
(8)
, 086803-086803.
https://doi.org/10.1103/physrevlett.121.086803
Identifiers
- DOI
- 10.1103/physrevlett.121.086803
- PMID
- 30192628
- arXiv
- 1803.01876