Compact Localized States in Engineered Flat-Band PT Metamaterials

N. Lazarides, Georgios Tsironis

Research output: Contribution to journalArticle

Abstract

The conditions leading to flat dispersionless frequency bands in truly one-dimensional parity-time (PT) symmetric metamaterials comprised of split‐ring resonators (SRRs) arranged in a binary pattern are obtained analytically. In this paradigmatic system, in which the SRRs are coupled through both electric and magnetic dipole-dipole forces, flat-bands may arise from tailoring its natural parameters (such as, e.g., the coupling coefficients between SRRs) and not from geometrical effects. For sets of parameters which values are tailored to flatten the upper band of the spectrum, the solution of the corresponding quadratic eigenvalue problem reveals the existence of compact, two-site localized eigenmodes. Numerical simulations confirm the existence and the dynamic stability of such modes, which can be formed through the evolution of single-site initial excitations without disorder or nonlinearity.

Original languageEnglish
Article number4904
JournalScientific Reports
Volume9
Issue number1
DOIs
Publication statusPublished - Dec 1 2019

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Compact Localized States in Engineered Flat-Band PT Metamaterials. / Lazarides, N.; Tsironis, Georgios.

In: Scientific Reports, Vol. 9, No. 1, 4904, 01.12.2019.

Research output: Contribution to journalArticle

Lazarides, N. ; Tsironis, Georgios. / Compact Localized States in Engineered Flat-Band PT Metamaterials. In: Scientific Reports. 2019 ; Vol. 9, No. 1.
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