{ "id": "1609.06292", "version": "v1", "published": "2016-09-20T18:59:44.000Z", "updated": "2016-09-20T18:59:44.000Z", "title": "Solitons in one-dimensional lattices with a flat band", "authors": [ "D. Bercioux", "O. Dutta", "E. Rico" ], "comment": "7 pages, 4 figures", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2016-09-20T18:59:44.000Z" } ], "analyses": { "keywords": [ "flat band", "dimerized configuration", "spectral properties", "chiral-symmetry breaking adiabatic", "lattice topology" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }