Solitons in One‐Dimensional Lattices with a Flat Band. Issue 9 (8th March 2017)

• Record Type: Journal Article
• Authors: Bercioux, Dario; Dutta, Omjyoti; Rico, Enrique
• Is Part Of: Annalen der Physik. Volume 529:Issue 9(2017)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2017-03-08
• Subjects: solitons -- dimerization -- topology -- pumping; Physics -- Periodicals; Chemistry -- Periodicals; 530.05
• DOI: 10.1002/andp.201600262
• Languages: English
• ISSNs: 0003-3804

Abstract

Abstract : The authors study an enlarged version of the popular SSH model for studying solitons in polyacetylene. Our system allows for two possible dimerized phases. The authors show that one of the two is a higher dimensional representation of the SSH model, whereas the second one is a trivial representation that does not show any topological phase. Abstract: We investigate the spectral properties of a quasi‐one‐dimensional lattice in two possible dimerisation configurations. Both configurations are characterised by the same lattice topology and the identical spectra containing a flat band at zero energy. We find that, one of the dimerised configuration has similar symmetry to a one‐dimensional chain proposed by Su‐Schrieffer‐Heeger for studying solitons in conjugated polymers. Whereas, the other dimerised configuration only shows non‐trivial topological properties in the presence of chiral‐symmetry breaking adiabatic pumping.