Theory of non-Hermitian topological whispering gallery

Topological insulators have taken the condensed matter physics scenery by storm and captivated the interest among scientists and materials engineers alike. Surprisingly, this arena which was initially established and profoundly studied in electronic systems and crystals, has sparked a drive among cl...

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Bibliographic Details
Published in:npj computational materials 2022-11, Vol.8 (1), p.1-7, Article 241
Main Authors: Pernas-Salomón, René, Zheng, Li-Yang, Zhang, Zhiwang, Gao, Penglin, Liu, Xiaojun, Cheng, Ying, Christensen, Johan
Format: Article
Language:English
Subjects:
639/301/1034/1037
639/766/25
Acoustic resonance
Acoustics
Carbon nanotubes
Characterization and Evaluation of Materials
Chemistry and Materials Science
Computational Intelligence
Computer applications
Condensed matter physics
Crystals
Electronic systems
Materials Science
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Sound
Theoretical
Thermoacoustics
Topological insulators
Vibrations
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Summary:Topological insulators have taken the condensed matter physics scenery by storm and captivated the interest among scientists and materials engineers alike. Surprisingly, this arena which was initially established and profoundly studied in electronic systems and crystals, has sparked a drive among classical physicists to pursue a wave-based analogy for sound, light and vibrations. In the latest efforts combining valley-contrasting topological sound with non-Hermitian ingredients, B. Hu et al. [Nature 597 , 655 (2021)] employed thermoacoustic coupling in sonic lattices whose elementary building blocks are coated with electrically biased carbon nanotube films. In this contribution, we take a theoretical and numerical route towards understanding the complex acoustic interplay between geometry and added acoustic gain as inspired by the aforesaid publication. Besides complex bulk and edge states predictions and computations of mode-split resonances using whispering gallery configurations, we also predict an acoustic amplitude saturation in dependence on the activated coated elements. We foresee that our computational advances may assist future efforts in exploring thermoacoustic topological properties.
ISSN:2057-3960
2057-3960
DOI:10.1038/s41524-022-00934-0