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

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Nonreciprocal response theory of non-Hermitian mechanical metamaterials: response phase transition from the skin effect of zero modes. / Schomerus, Henning.
In: Physical Review Research, Vol. 2, No. 1, 013058, 17.01.2020.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Schomerus, H 2020, 'Nonreciprocal response theory of non-Hermitian mechanical metamaterials: response phase transition from the skin effect of zero modes', Physical Review Research, vol. 2, no. 1, 013058. https://doi.org/10.1103/PhysRevResearch.2.013058

APA

Schomerus, H. (2020). Nonreciprocal response theory of non-Hermitian mechanical metamaterials: response phase transition from the skin effect of zero modes. Physical Review Research, 2(1), Article 013058. https://doi.org/10.1103/PhysRevResearch.2.013058

Vancouver

Schomerus H. Nonreciprocal response theory of non-Hermitian mechanical metamaterials: response phase transition from the skin effect of zero modes. Physical Review Research. 2020 Jan 17;2(1):013058. doi: 10.1103/PhysRevResearch.2.013058

Author

Schomerus, Henning. / Nonreciprocal response theory of non-Hermitian mechanical metamaterials : response phase transition from the skin effect of zero modes. In: Physical Review Research. 2020 ; Vol. 2, No. 1.

Bibtex

@article{705e05377c7f40b68494029723fbe318,
title = "Nonreciprocal response theory of non-Hermitian mechanical metamaterials: response phase transition from the skin effect of zero modes",
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.",
author = "Henning Schomerus",
year = "2020",
month = jan,
day = "17",
doi = "10.1103/PhysRevResearch.2.013058",
language = "English",
volume = "2",
journal = "Physical Review Research",
issn = "2643-1564",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Nonreciprocal response theory of non-Hermitian mechanical metamaterials

T2 - response phase transition from the skin effect of zero modes

AU - Schomerus, Henning

PY - 2020/1/17

Y1 - 2020/1/17

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevResearch.2.013058

DO - 10.1103/PhysRevResearch.2.013058

M3 - Journal article

VL - 2

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 1

M1 - 013058

ER -