摘要
Ingraphene,conductanceelectronsbehaveasmasslessrelativisticparticlesandobeyananalogueoftheDiracequationintwodimensionswithachiralnature.Forthisreason,theboundingofelectronsingrapheneintheformofgeometriesofquantumdotsisimpossible.Ingaplessgraphene,duetoitsuniqueelectronicbandstructure,thereisaminimalconductivityatDiracpoints,thatis,inthelimitofzerodoping.Thiscreatesaproblemforusingsuchahighlymotivatednewmaterialinelectronicdevices.Oneofthewaystoovercomethisproblemisthecreationofabandgapinthegraphenebandstructure,whichismadebyinversionsymmetrybreaking(symmetryofsublattices).WeinvestigatetheconfinedstatesofthemasslessDiracfermionsinanimpuredgraphenebytheshort-rangeperturbationsfor"localchemicalpotential"and"localgap".Thecalculatedenergyspectrumexhibitsquitedifferentfeatureswithandwithouttheperturbations.Acharacteristicequationforboundstates(BSs)hasbeenobtained.Itissurprisinglyfoundthattherelationbetweentheradialfunctionsofsublatticeswavefunctions,i.e.,f_m~+(r),g_m~+(r),andf_m~-(r),g_m~-(r),canbeestablishedbySO(2)group.
出版日期
2016年06月16日（中国期刊网平台首次上网日期，不代表论文的发表时间）
