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Surface breathers in discrete magnetic metamaterials
Nikos Lazarides1, George P Tsironis, Yuri S Kivshar
1Department of Physics, University of Crete, and Institute of Electronic Structure and Laser, Foundation for Research and Technology-Hellas, P.O. Box 2208, 71003 Heraklion, Greece.
Summary
Researchers explored discrete breathers in a 1D metamaterial, discovering unique nonlinear Tamm states or surface breathers at the edge. These localized states have no linear or continuous system counterparts.
Area of Science:
- Condensed matter physics
- Metamaterials science
- Nonlinear dynamics
Background:
- Discrete breathers are localized nonlinear modes in periodic systems.
- Metamaterials offer unique electromagnetic properties through engineered structures.
- Split-ring resonators are common building blocks for metamaterials.
Purpose of the Study:
- To investigate the properties of discrete breathers near the edge of a 1D metamaterial.
- To study the transition between nonlinear surface states and discrete breathers.
- To demonstrate the existence of novel nonlinear localized surface states.
Main Methods:
- Analysis of modes centered at finite distances from the array edge.
- Utilizing a one-dimensional array of nonlinear split-ring resonators.
- Numerical simulations and theoretical analysis of wave propagation.
Main Results:
- Demonstrated the existence of nonlinear Tamm states (surface breathers).
- Observed a crossover between nonlinear surface states and discrete breathers.
- Identified unique properties of these localized surface states.
Conclusions:
- Nonlinear Tamm states represent a new class of localized excitations in metamaterials.
- These surface breathers exhibit distinct characteristics compared to continuous or linear systems.
- The findings open avenues for novel applications in wave manipulation and localization.
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