Optics Letters · 2016 · 148 citations · 28 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsOpticsPhotonicsCrystal LatticeLattice SymmetryOptical ImagingPhotonic CrystalsPhotonic MaterialsUltrafast OpticsFemtosecond Laser PulsesLocalized StatesPerovskite Photonic MaterialsPhotonic Crystal SimulationTransmission DistortionTwo-dimensional Photonic Crystals
We present a simple, yet effective, approach for optical induction of Lieb photonic lattices, which typically rely on the femtosecond laser writing technique. Such lattices are established by judiciously overlapping two sublattices (an "egg-crate" lattice and a square lattice) with different periodicities through a self-defocusing photorefractive medium. Furthermore, taking advantage of the superposition of localized flat-band states inherent in the Lieb lattices, we demonstrate distortion-free image transmission in such two-dimensional perovskite-like photonic structures. Our experimental observations find good agreement with numerical simulations.
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Two theorems on the Hubbard model
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