带电粒子在外磁场中磁性的量子尺寸效应(英文)

Quantum size effect of magnetism of charged particles in a magnetic field

应用 WKB方法计算了圆柱金属体中带电粒子在外磁场中磁性的量子尺寸效应 .结果表明 ,金属圆柱体半径越小 ,带电粒子的抗磁性越强 ,当金属圆柱体半径为 1 0 0 nm左右时 ,其抗磁性是 Landau抗磁性的 1 0 4～ 1 0 6倍 .另外 ,当金属圆柱体的半径比最大抗磁性半径还小时 ,带电粒子的抗磁性有振荡行为 .

WT5”BZ]The energies and the magnetization of an electron in a metal cylinder in a magnetic field, at high temperature, and in range of quantum size of the cylindrical radius have been obtained by the WKB method. The results show that the smaller the cylindrical radius of the metal is, the stronger the diamagnetism is, and approximately, in the range of 100nm, the diamagnetism reaches its maximum and is stronger 10 4～10 6 times than that of Landau's. Otherwise, we find a vibration of the magnetization of the system when the metal cylindrical radius becomes smaller than that value corresponding to the maximum diamagnetism.