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Non-Hermitian Floquet Topological Matter-A Review
Longwen Zhou1,2,3, Da-Jian Zhang4
1College of Physics and Optoelectronic Engineering, Ocean University of China, Qingdao 266100, China.
Entropy (Basel, Switzerland)
|October 28, 2023
Summary
This review explores non-Hermitian Floquet topological matter, highlighting exotic properties from driving fields and non-Hermiticity. We detail tools and examples of topological insulators, superconductors, and quasicrystals in 1D and 2D systems.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Topological Matter
Background:
- Non-Hermitian systems exhibit unique phenomena due to gain/loss.
- Floquet theory describes systems under periodic driving.
- Combining these reveals exotic topological phases.
Purpose of the Study:
- To review studies on non-Hermitian Floquet topological matter in 1D and 2D.
- To clarify the physical significance of these systems.
- To introduce tools for studying their topological properties.
Main Methods:
- Literature review and synthesis.
- Pedagogical introduction to theoretical tools.
- Analysis of topological invariants and bulk-edge correspondences.
Main Results:
- Detailed examples of non-Hermitian Floquet topological insulators, superconductors, and quasicrystals.
- Investigation of non-Hermitian skin effects and localization transitions.
- Characterization of dynamical properties.
Conclusions:
- Summarized key findings on non-Hermitian Floquet topological matter.
- Outlined future research directions in this field.
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