Nonlinear localized flatband modes with spin-orbit coupling
arXiv:1609.09640 · doi:10.1103/PhysRevB.94.144302
Abstract
We report the coexistence and properties of stable compact localized states (CLSs) and discrete solitons (DSs) for nonlinear spinor waves on a flatband network with spin-orbit coupling (SOC). The system can be implemented by means of a binary Bose-Einstein condensate loaded in the corresponding optical lattice. In the linear limit, the SOC opens a minigap between flat and dispersive bands in the system's bandgap structure, and preserves the existence of CLSs at the flatband frequency, simultaneously lowering their symmetry. Adding onsite cubic nonlinearity, the CLSs persist and remain available in an exact analytical form, with frequencies which are smoothly tuned into the minigap. Inside of the minigap, the CLS and DS families are stable in narrow areas adjacent to the FB. Deep inside the semi-infinite gap, both the CLSs and DSs are stable too.
10 figures, Physical Review B, in press
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Cited by in corpus (13)
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- Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
- Compact Discrete Breathers on Flat Band Networks
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- Wannier-Stark flatbands in Bravais lattices
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- Nonlinear gap modes and compactons in a lattice model for spin-orbit coupled exciton-polaritons in zigzag chains
- Localized waves in the nonlinear rhombic waveguide array