Linear compact localized modes in flux-dressed two-dimensional plus lattice

It was studied a photonic linear two-dimensional plus lattice dressed by the artificial flux and explored the influence of the artificial gauge field on the energy band spectrum. The Aharonov-Bohm effect has caused the appearance of flat zones and for certain values of the flux, the lattice spectrum has been described by two momentum independent, fully degenerated flatbands and three dispersive bands. Three different types of fundamental non-orthogonal compactons have been obtained. The findings presented in this study could be tested in practice and they may be used for probing different artificial flatband systems, e. g. ultracold atoms in optical lattices, polariton condensates etc.