Knotted solitons in nonlinear magnetic metamaterials

Nikolay N. Rosanov; Nina V. Vysotina; Anatoly N. Shatsev; Anton S. Desyatnikov; Yuri S. Kivshar

doi:10.1103/PhysRevLett.108.133902

Knotted solitons in nonlinear magnetic metamaterials

Nikolay N. Rosanov^*
, Nina V. Vysotina
, Anatoly N. Shatsev
, Anton S. Desyatnikov
, Yuri S. Kivshar

^*Corresponding author for this work

Department of Fundamental & Theoretical Physics

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

We demonstrate that nonlinear magnetic metamaterials comprised of a lattice of weakly coupled split-ring resonators driven by an external electromagnetic field may support entirely new classes of spatially localized modes-knotted solitons, which are stable self-localized dissipative structures in the form of closed knotted chains. We demonstrate different topological types of stable knots for the subcritical coupling between resonators and instability-induced breaking of the chains for the supercritical coupling.

Original language	English
Article number	133902
Journal	Physical Review Letters
Volume	108
Issue number	13
DOIs	https://doi.org/10.1103/PhysRevLett.108.133902
Publication status	Published - 30 Mar 2012

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abstract = "We demonstrate that nonlinear magnetic metamaterials comprised of a lattice of weakly coupled split-ring resonators driven by an external electromagnetic field may support entirely new classes of spatially localized modes-knotted solitons, which are stable self-localized dissipative structures in the form of closed knotted chains. We demonstrate different topological types of stable knots for the subcritical coupling between resonators and instability-induced breaking of the chains for the supercritical coupling.",

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AU - Rosanov, Nikolay N.

AU - Vysotina, Nina V.

AU - Shatsev, Anatoly N.

AU - Desyatnikov, Anton S.

AU - Kivshar, Yuri S.

PY - 2012/3/30

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N2 - We demonstrate that nonlinear magnetic metamaterials comprised of a lattice of weakly coupled split-ring resonators driven by an external electromagnetic field may support entirely new classes of spatially localized modes-knotted solitons, which are stable self-localized dissipative structures in the form of closed knotted chains. We demonstrate different topological types of stable knots for the subcritical coupling between resonators and instability-induced breaking of the chains for the supercritical coupling.

AB - We demonstrate that nonlinear magnetic metamaterials comprised of a lattice of weakly coupled split-ring resonators driven by an external electromagnetic field may support entirely new classes of spatially localized modes-knotted solitons, which are stable self-localized dissipative structures in the form of closed knotted chains. We demonstrate different topological types of stable knots for the subcritical coupling between resonators and instability-induced breaking of the chains for the supercritical coupling.

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DO - 10.1103/PhysRevLett.108.133902

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JO - Physical Review Letters

JF - Physical Review Letters

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Knotted solitons in nonlinear magnetic metamaterials

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