Solitons in one-dimensional lattices with a flat band

D. Bercioux, O. Dutta, E. Rico

Published 2016-09-20Version 1

We investigate the spectral properties of a quasi-one-dimensional lattices in two possible dimerization configurations. Both configurations are characterized by the same lattice topology and the same spectra containing a flat band at zero energy. We find that, one of the dimerized configuration has similar symmetry to an one-dimensional chain proposed by Su-Schrieffer-Heeger for studying solitons in conjugated polymers. Whereas, the other dimerized configuration only shows non-trivial topological properties in the presence of chiral-symmetry breaking adiabatic pumping.