Probing non-Hermitian skin effect and non-Bloch phase transitions

By S. Longhi. Physical Review Research, 2019

271 citations recorded by the source corpus.

In non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory and Bloch topological invariants fail to correctly predict energy spectra, topological boundary states, and symmetry breaking phase transitions in systems with open boundaries. Recently, it has been shown that a correct description requires to extend Bloch band theory into complex plane. A still open question is whether non-Hermitian skin effect and non-Bloch symmetry-breaking phase transitions can be probed by real-space wave dynamics far from edges, which is entirely governed by ordinary Bloch bands. Here it is shown that the Lyapunov exponent in the long-time behavior of bulk wave dynamics can reveal rather generally non-Bloch symmetry breaking phase transitions and the existence of the non-Hermitian skin effect.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/53debb9dfd4ee7dc8ff67cc6d0ba784d4959d3dc

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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

In Statistical and Nonlinear Physics

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): “4 [31-35], interpreting NHSE from different points of view [36-48], developing new theories, methods and material designs to describe the NHSE-related topological properties and the”