Physical Review Letters· 2018Q1
Edge States and Topological Invariants of Non-Hermitian Systems
- 2,242citations
- Q1SCImago
- 2018year
Short summary
A 'non-Hermitian skin effect' requires redefining topological invariants in a generalized Brillouin zone, leading to phase diagrams that differ from standard Bloch theory.
AI-generated from the title and abstract; the full text is not read.
Key points
- A 'non-Hermitian skin effect' is identified as crucial for non-Hermitian topological states.
- Conventional topological invariants based on Bloch theory are shown to break down.
- A generalized Brillouin zone and a non-Bloch winding number are introduced to redefine topological invariants.
- The phase diagram of the non-Hermitian Su-Schrieffer-Heeger model is re-evaluated, differing from standard Bloch theory predictions.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Physical Review Letters, 2018 · DOI ↗
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Field: Atomic and Molecular Physics, and Optics
Atomic and Molecular Physics, and OpticsPhysics and Astronomy