Phys. Rev. A 79, 053818 (2009) [13 pages]Localized structures in kagome latticesReceived 12 February 2009; published 8 May 2009 We investigate the existence and stability of gap vortices and multipole 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 anticontinuum (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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.053818
DOI:
10.1103/PhysRevA.79.053818
PACS:
42.65.Tg, 03.75.Lm, 05.45.Yv
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