TY  - JOUR
AU  - Stojanović Krasić, Marija
AU  - Stojanović, Mirjana G.
AU  - Maluckov, Aleksandra
AU  - Maczewsky, Lukas J.
AU  - Szameit, Alexander
AU  - Stepić, Milutin
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9684
AB  - We investigate analytically and numerically the existence and dynamical stability of different localized modes in a two-dimensional photonic lattice comprising a square plaquette inscribed in the dodecagon lattices. The eigenvalue spectrum of the underlying linear lattice is characterized by a net formed of one flat band and four dispersive bands. By tailoring the intersite coupling coefficient ratio, opening of gaps between two pairs of neighboring dispersive bands can be induced, while the fully degenerate flat band characterized by compact eigenmodes stays nested between two inner dispersive bands. The nonlinearity destabilizes the compact modes and gives rise to unique families of localized modes in the newly opened gaps, as well as in the semi-infinite gaps. The governing mechanism of mode localization in that case is the light energy self-trapping effect. We have shown the stability of a few families of nonlinear modes in gaps. The suggested lattice model may serve for probing various artificial flat-band systems such as ultracold atoms in optical lattices, periodic electronic networks, and polariton condensates.
T2  - Physical Review E
T1  - Localized modes in a two-dimensional lattice with a pluslike geometry
VL  - 102
IS  - 3
SP  - 032207
DO  - 10.1103/PhysRevE.102.032207
ER  - 

@article{
author = "Stojanović Krasić, Marija and Stojanović, Mirjana G. and Maluckov, Aleksandra and Maczewsky, Lukas J. and Szameit, Alexander and Stepić, Milutin",
year = "2020",
abstract = "We investigate analytically and numerically the existence and dynamical stability of different localized modes in a two-dimensional photonic lattice comprising a square plaquette inscribed in the dodecagon lattices. The eigenvalue spectrum of the underlying linear lattice is characterized by a net formed of one flat band and four dispersive bands. By tailoring the intersite coupling coefficient ratio, opening of gaps between two pairs of neighboring dispersive bands can be induced, while the fully degenerate flat band characterized by compact eigenmodes stays nested between two inner dispersive bands. The nonlinearity destabilizes the compact modes and gives rise to unique families of localized modes in the newly opened gaps, as well as in the semi-infinite gaps. The governing mechanism of mode localization in that case is the light energy self-trapping effect. We have shown the stability of a few families of nonlinear modes in gaps. The suggested lattice model may serve for probing various artificial flat-band systems such as ultracold atoms in optical lattices, periodic electronic networks, and polariton condensates.",
journal = "Physical Review E",
title = "Localized modes in a two-dimensional lattice with a pluslike geometry",
volume = "102",
number = "3",
pages = "032207",
doi = "10.1103/PhysRevE.102.032207"
}

Stojanović Krasić, M., Stojanović, M. G., Maluckov, A., Maczewsky, L. J., Szameit, A.,& Stepić, M.. (2020). Localized modes in a two-dimensional lattice with a pluslike geometry. in Physical Review E, 102(3), 032207.
https://doi.org/10.1103/PhysRevE.102.032207

Stojanović Krasić M, Stojanović MG, Maluckov A, Maczewsky LJ, Szameit A, Stepić M. Localized modes in a two-dimensional lattice with a pluslike geometry. in Physical Review E. 2020;102(3):032207.
doi:10.1103/PhysRevE.102.032207 .

Stojanović Krasić, Marija, Stojanović, Mirjana G., Maluckov, Aleksandra, Maczewsky, Lukas J., Szameit, Alexander, Stepić, Milutin, "Localized modes in a two-dimensional lattice with a pluslike geometry" in Physical Review E, 102, no. 3 (2020):032207,
https://doi.org/10.1103/PhysRevE.102.032207 . .