Bound states of Dirac fermions in monolayer gapped graphene in the presence of local perturbations

作     者：Mohsen Yarmohammadi Malek Zareyan 

作者机构：Young Researchers and Elite ClubKermanshah BranchIslamic Azad University Department of PhysicsInstitute for Advanced Studies in Basic Sciences (IASBS) 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2016年第25卷第6期

页      面：563-568页

核心收录：

学科分类：081704[工学-应用化学] 07[理学] 08[工学] 0817[工学-化学工程与技术] 0805[工学-材料科学与工程（可授工学、理学学位）] 0703[理学-化学] 0704[理学-天文学] 070301[理学-无机化学] 

主　　题：monolayer gapped graphene quantum dots bound states inversion symmetry breaking 

摘      要：In graphene,conductance electrons behave as massless relativistic particles and obey an analogue of the Dirac equation in two dimensions with a chiral *** this reason,the bounding of electrons in graphene in the form of geometries of quantum dots is *** gapless graphene,due to its unique electronic band structure,there is a minimal conductivity at Dirac points,that is,in the limit of zero *** creates a problem for using such a highly motivated new material in electronic *** of the ways to overcome this problem is the creation of a band gap in the graphene band structure,which is made by inversion symmetry breaking（symmetry of sublattices）.We investigate the confined states of the massless Dirac fermions in an impured graphene by the short-range perturbations for ＂local chemical potential＂ and ＂local gap＂.The calculated energy spectrum exhibits quite different features with and without the perturbations.A characteristic equation for bound states（BSs） has been *** is surprisingly found that the relation between the radial functions of sublattices wave functions,i.e.,f_m~＋（r）,g_m~＋（r）,and f_m^-（r）,g_m^-（r）,can be established by SO（2） group.