Home > Research > Publications & Outputs > Nonreciprocal response theory of non-Hermitian ...

Electronic data

  • schomerus2020nonreciprocal

    Final published version, 1.31 MB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License

Links

Text available via DOI:

View graph of relations

Nonreciprocal response theory of non-Hermitian mechanical metamaterials: response phase transition from the skin effect of zero modes

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>17/01/2020
<mark>Journal</mark>Physical Review Research
Volume2
Number of pages6
Publication statusPublished
Original languageEnglish

Abstract

Nonreciprocal non-Hermitian systems provide an unconventional localization mechanism of topological zero modes via the non-Hermitian skin effect. While fundamental theoretical characterizations of this effect involve the biorthogonal system of right and left eigenmodes, the recent demonstration of this effect for a zero mode in a robotic metamaterial (Ghatak et al., arXiv:1907.11619) is based on the direct experimental observation of the conventional right eigenvectors. Here I show that such nonreciprocal mechanical metamaterials reveal their underlying biorthogonality in the directly observable response of the system to external excitation. Applied to the experiment, this nonreciprocal response theory predicts that the zero-mode skin effect coincides with an extended phase where the system is highly sensitive to physical perturbations, leading to a diverging response in the limit of a large system.