“W”型势阱能级的对比研究  

A comparative study of energy levels in “W” type wells

作　　者：陈杰[1] 张传坤[1] 李文胜[1] 曾维友[1] 张琴[1] 

机构地区：[1]湖北汽车工业学院理学院,湖北十堰442002

出　　处：《大学物理》2015年第9期19-22,共4页College Physics

摘　　要：通过有限差分法及Matlab矩阵运算,计算了阱区分别呈抛物形(WⅠ型)和三角形(WⅡ型)的两种"W"型一维势阱的能级.计算结果表明,在中间势垒(Vb)值固定情况下,两型势阱中各能级值随着边势垒(V0)的增大而增大,能级分裂先从较高能级开始,然后逐渐演变到较低能级,同能级比较,WⅡ型出现分裂较WⅠ型早.相反的变化趋势出现在V0固定、而Vb逐渐增大和V0、Vb同步增大的情况下.WⅠ型势阱最小的两能级随V0/Vb的变化表现稳定;在势垒相同情况下,WⅡ型各能级值较WⅠ型大,说明WⅠ型两阱具有比WⅡ型更强的耦合作用.本文的研究可为双量子阱器件的能带设计提供理论参考.The energy levels are calculated by using finite different method with Matlab language in two ＂W＂ type wells, which one is parabolic （WI type） and the other is triangle （WII type） in wells. The results have shown that when the middle-potential barrier （ Vb） is fixed, the value of each level increases with increasing edge-potential barrier （Vo） , the split begins with the higher level, then the lower levels. In comparison with WI type, a previous split for the higher levels in WII type can be seen as V0 is increased. The opposite case appears for an in- creasing value of Vb and a given value of V0 as well as for simultaneously increasing values of Vb and Vo. The smallest two levels in WI type are stable as the value of Vo/Vb varies. The level value in WII type is larger than the corresponding level in WI type under the same potential barriers. This shows that there is a stronger coupling in WI type in comparison with WII type. The results may provide some theoretical references for the band design of double quantum wells.

关 键 词：“W”型势 能级 对比研究 

分 类 号：O413.1[理学—理论物理]