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 language | English |
|---|---|
| Article number | 4904 |
| Journal | Scientific Reports |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Dec 1 2019 |
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Cite this
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 journal › Article
}
TY - JOUR
T1 - Compact Localized States in Engineered Flat-Band PT Metamaterials
AU - Lazarides, N.
AU - Tsironis, Georgios
PY - 2019/12/1
Y1 - 2019/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85063334245&partnerID=8YFLogxK
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U2 - 10.1038/s41598-019-41155-8
DO - 10.1038/s41598-019-41155-8
M3 - Article
VL - 9
JO - Scientific Reports
JF - Scientific Reports
SN - 2045-2322
IS - 1
M1 - 4904
ER -