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Scale-tailored localization and its observation in non-Hermitian electrical circuits
Cui-Xian Guo1,2,3, Luhong Su1,4, Yongliang Wang5
1Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.
Nature Communications
|October 22, 2024
Summary
Researchers discovered scale-tailored localization, a new wave phenomenon where localization depends on coupling range. This expands understanding of non-Hermitian physics and offers experimental control over wave localization.
Area of Science:
- Condensed matter physics
- Wave phenomena
- Non-Hermitian systems
Background:
- Anderson localization arises from wave interference.
- Non-Hermitian skin effect stems from the non-Hermitian point gap.
- Both are key phenomena in wave localization.
Purpose of the Study:
- To unveil a novel localization phenomenon, scale-tailored localization.
- To investigate its dependence on long-range asymmetric coupling.
- To provide an experimental platform for wave localization studies.
Main Methods:
- Theoretical analysis of wave interference and non-Hermitian Hamiltonians.
- Investigating the impact of long-range coupling on lattice structures.
- Experimental realization using non-Hermitian electrical circuits with adjustable components.
Main Results:
- Scale-tailored localization is exclusively controlled by the coupling range.
- Long-range coupling reshapes energy spectra and eigenstates via connected paths.
- Experimental circuits exhibit distinct point-shaped and loop-shaped admittance spectra.
Conclusions:
- Scale-tailored localization is a new wave localization phenomenon.
- Findings deepen the understanding of non-Hermiticity effects.
- Developed a feasible experimental platform for wave localization research.
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