Bulk-boundary correspondence in a non-Hermitian system in one dimension with chiral inversion symmetry

By Liang Jin, Zhi Song. Physical review B, 2018

266 citations recorded by the source corpus.

Bulk-boundary correspondence is fundamental and important in topological physics; however, it is invalid in certain non-Hermitian systems. Here we report that the way of non-Hermiticity appearance may alter the system topology, induce a topological phase transition, and invalidate the bulk-boundary correspondence if non-Hermiticity breaks the chiral-inversion symmetry of the system. Alternatively introducing non-Hermiticity without breaking the chiral-inversion symmetry, the bulk-boundary correspondence recovers with all the bulk states being extended and the non-Hermitian skin effect vanishes. The vorticity of topological defects in the vector field that associated with the Bloch Hamiltonian is a topological invariant, the change of which predicts the (non)existence of edge states. Our findings reveal the roles played by symmetry and non-Hermiticity, and provide insights into the non-Hermitian topological phases of matter.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/a716ac178cd137f47eeafafdb45a45e2dbb6761e

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In Atomic and Molecular Physics, and Optics

1. Tian Zhang
2. Xiujuan Zhang
3. Yan-Feng Chen
4. Ming-Hui Lu

Citations in the corpus

• A review on non-Hermitian skin effect (2022, methodology): “Some typical signatures include the localizations for an extensive number of bulk states, the breakdown of the conventional BBC and the defectiveness of the edge modes.”
• Higher-order non-Hermitian skin effect (2020, unknown): “[51] L.”