三势垒石墨烯超晶格中的Kronig-Penney模型改进  

Modification of Kronig-Penney Model in Strained Graphene Superlattices with Three Potential Barriers

作　　者：吕永平[1] 张琳[2] 阎维贤[2] 

机构地区：[1]山西大学理论物理研究所,山西太原030006 [2]山西大学物理电子工程学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2015年第1期93-98,共6页Journal of Shanxi University(Natural Science Edition)

基　　金：国家基础科学人才培养基金(No J1103210);山西省留学基金

摘　　要：研究了理想石墨烯和应变石墨烯超晶格的能带,通过对两势垒Kronig-Penney模型的改进,得到了超晶格周期单元中包含三势垒(阱)的能带解析表达式。通过数值计算分析了能带随动量、晶格长度及沿扶手方向应力的变化情况。研究发现,晶格长度和应力能够对能带的形状、新的狄拉克点、群速与态密度等起决定性作用。The energy bands of the pristine and strained graphene superlattices with three potential barriers were investigated.Through the modification of the Kronig-Penney model where the single unit cell contains two potential barriers（wells）,the analytical expression of the energy bands for the single unit cell with three potential barriers（wells）was obtained.The numerical analysis shows that the period of the superlattices and the strain along the armchair direction play the vital role in determining the emergence of the zero-mode like points,the group velocity,density of states and even the dynamics of the Dirac particles.

关 键 词：应变石墨烯 超晶格 KRONIG-PENNEY模型 能带 

分 类 号：O469[理学—凝聚态物理]