Two-dimensional systems with chiral symmetry allow stable discrete band crossings(nodal points) in Brillouin zones.Here we study the local evolutions of these nodal points under chiral symmetry preserving perturbation...Two-dimensional systems with chiral symmetry allow stable discrete band crossings(nodal points) in Brillouin zones.Here we study the local evolutions of these nodal points under chiral symmetry preserving perturbations.We find that these evolutions can be classified by different types of local k·p models around the nodal points.Several concrete examples are calculated to illustrate our results.展开更多
基金Project supported by the National Basic Research Program of China(Grant Nos.2015CB921300 and 2017YFA0303100)the National Natural Science Foundation of China(Grant Nos.1190020,11534014,and 11334012)the Strategic Priority Research Program of Chinese Academy of Sciences(Grant Nos.XDB07000000 and XDB28000000)
文摘Two-dimensional systems with chiral symmetry allow stable discrete band crossings(nodal points) in Brillouin zones.Here we study the local evolutions of these nodal points under chiral symmetry preserving perturbations.We find that these evolutions can be classified by different types of local k·p models around the nodal points.Several concrete examples are calculated to illustrate our results.