TY - JOUR
T1 - Compact Localized States in Engineered Flat-Band PT Metamaterials
AU - Lazarides, N.
AU - Tsironis, G. P.
N1 - Funding Information:
This work was partially supported by the Ministry of Science and Higher Education of the Russian Federation in the framework of Increase Competitiveness Program of NUST ≪MISiS≫ (No. K2-2017-006), implemented by a governmental decree dated 16th of March 2013, N 211. This research has been financially supported by General Secretariat for Research and Technology (GSRT) and the Hellenic Foundation for Research and Innovation (HFRI) (Grant No: 203). NL gratefully acknowledges the Laboratory for Superconducting Metamaterials, National University of Research and Technology “MISiS” for its warm hospitality during visits.
Publisher Copyright:
© 2019, The Author(s).
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
UR - http://www.scopus.com/inward/citedby.url?scp=85063334245&partnerID=8YFLogxK
U2 - 10.1038/s41598-019-41155-8
DO - 10.1038/s41598-019-41155-8
M3 - Article
C2 - 30894598
AN - SCOPUS:85063334245
VL - 9
JO - Scientific Reports
JF - Scientific Reports
SN - 2045-2322
IS - 1
M1 - 4904
ER -