柱状纳米层中的自旋磁矩和持续轨道电流
Spin Magnetic Moment and Persistent Orbital Currents in Cylindrical Nanolayer
摘要：
考虑了外加轴向磁场作用下圆柱形纳米层中电子的持续轨道电流和自旋磁矩电流密度。对于上述电流密度的解析表达式。定义了系统中只存在自旋磁矩电流的条件。导出了轨道和自旋磁矩电流对纳米层几何参数的依赖关系。结果表明，在层状几何条件下，自旋磁矩电流对径向坐标的依赖关系具有非单调性。这是纳米结构的层状几何结构的特殊性，这是由于系统的波函数沿径向的行为。依赖于场的方向和电子的轨道旋转，当轨道电流消失时，径向坐标有确定的值。并讨论了圆柱形量子点的过渡情况。
英文摘要：
Densities of persistent orbital and spin magnetic moment currents of an electron in a cylindrical nanolayer in the presence of external axial magnetic field are considered. For the mentioned current densities analytical expressions are obtained. The conditions when in the system only spin magnetic moment current is present are defined. Dependencies of orbital and spin magnetic moment currents on geometrical parameters of nanolayer are derived. It is shown that in the case of layered geometry the dependence of spin magnetic moment current on radial coordinate has a non-monotonic behavior. This is the peculiarity of layered geometry of nanostructure and it is due to the behavior of wave function of the system along the radial direction. Dependent on the directions of the field and orbital rotation of the electron there are defined values of radial coordinates when the orbital current disappears. The transition to the case of cylindrical quantum dot is discussed as well.
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