山西大学学报（自然科学版）2017，Vol.40Issue(3)：480-485,6.DOI:10.13451/j.cnki.shanxi.univ(nat.sci.).2017.03.011
一维具有近平带锯齿链模型的拓扑相变
Topological Phase Transitions in One-dimensional Sawtooth Chain Model with Nearly Flat Bands
摘要
Abstract
We study the nearly flat bands and topological phase transitions of the one-dimensional sawtooth chain with periodic modulation.In the absence of the modulation,we can get the flat band of the standard sawtooth chain model when the hopping strength along the diagonal directions is √2 times of the one along the baseline.But the flat band is topologically trivial.In the presence of the modulation,a series of nearly flat bands emerges in the system and the Chern numbers of the bands are non-zero integers which show the topologically nontrivial properties.By changing of the strength of the modulation,a series of topological phase transitions emergeaccompanied by the change of topological numbers and energy gaps.Moreover,the model can be realized by using cold atomic technique.关键词
拓扑相变/光晶格/锯齿链/边缘态Key words
topological phase transition/optical lattice/sawtooth chain/edge state分类
数理科学引用本文复制引用
徐志浩,刘祾..一维具有近平带锯齿链模型的拓扑相变[J].山西大学学报（自然科学版）,2017,40(3):480-485,6.基金项目
国家自然科学基金(11604188) （11604188）
山西省基础研究青年基金(2016021027) （2016021027）
