垂直磁场下量子环的电子态

本文选取二维各向同性谐振子为基展开的波函数对垂直磁场下二维有限深圆柱形方势阱量子环中单电子的电子态进行相关的理论计算和分析。本文计算得到,在磁场强度取一定值的情况下,量子环的基态能出现在磁量子数m<0态,并且|m|依赖于磁场强度和量子环的内半径;随着磁场强度的增加,量子环基态从m=0态变成m=-1,-2,…态,而且本文计算得到的量子环的电子能级比无穷深势垒模型的能级略低。

The Electronic States of Quantum Ring under a Perpendicular Magnetic Field

In this paper we study the electronic states of two-dimensional quantum dots and rings with a finite high cylindrical square-well potential in perpendicular magnetic field. At the same magnetic field strength, the energy minimum of quantum ring is at m＆lt;0 state, which is caused by the m linear term in Landau level, and the absolute value of m at which the energy minimum is located also very dependent on the magnetic field and quantum ring inner radius R1; when the magnetic field increases the ground state changes gradually from an m=0 state to m=-1,-2, …states. And we draw a conclusion that the real confinement potential width we received from our model is larger than that received by infinite hard-wall approximation, but the electronic energy level is lower.