Localized structures in Kagome lattices
arXiv:0902.2385 · doi:10.1103/PhysRevA.79.053818
Abstract
We investigate the existence and stability of gap vortices and multi-pole gap solitons in a Kagome lattice with a defocusing nonlinearity both in a discrete case and in a continuum one with periodic external modulation. In particular, predictions are made based on expansion around a simple and analytically tractable anti-continuum (zero coupling) limit. These predictions are then confirmed for a continuum model of an optically-induced Kagome lattice in a photorefractive crystal obtained by a continuous transformation of a honeycomb lattice.
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Cited by in corpus (10)
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- Sagnac interferometry with coherent vortex superposition states in exciton-polariton condensates
- Spatiotemporal vortex solitons in hexagonal arrays of waveguides
- PT-symmetric phase in kagome photonic lattices
- Localized modes in nonlinear photonic kagome nanoribbons
- Nonlinear Corner States in Topologically Nontrivial Kagome Lattice
- Breather mobility and the PN potential: Brief review and recent progress
- Discrete Solitons and Vortices in Anisotropic Hexagonal and Honeycomb Lattices
- Wavepacket spreading dynamics under a non-instantaneous nonlinearity: Self-trapping, defocusing and focusing