Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5450150 | Physica E: Low-dimensional Systems and Nanostructures | 2017 | 6 Pages |
Abstract
We study topological properties of one-dimensional nonlinear bichromatic superlattices and unveil the effect of nonlinearity on topological states. We find the existence of nontrivial edge solitions, which distribute on the boundaries of the lattice with their chemical potential located in the linear gap regime and are sensitive to the phase parameter of the superlattice potential. We further demonstrate that the topological property of the nonlinear Bloch bands can be characterized by topological Chern numbers defined in the extended two-dimensional parameter space. In addition, we discuss that the composition relations between the nolinear Bloch waves and gap solitions for the nonlinear superlattices. The stabilities of edge solitons are also studied.
Related Topics
Physical Sciences and Engineering
Materials Science
Electronic, Optical and Magnetic Materials
Authors
C.S. Liu, Z.Z. Wang, Chuanhao Yin, Y.D. Wu, T.F. Xu, L.H. Wen, Shu Chen,