Fig. 1. (a) The lowest three spin degenerate Landau levels are split apart in the strong magnetic field, but the degeneracy is not fully resolved; (b) the modulus of the wave functions of the first Landau level for , , , , . (a)自旋简并的3个朗道能级在磁场中分裂, 但仍有能级简并; (b)第一朗道能级波函数的模, 参数 , , , ,

Fig. 2. (a) An long slab with current flows in a strong magnetic field, arrows indicate the direction of electron transport; (b) odd plateaus of Hall conductance due to the spin degeneracy. , , . (a)在均匀磁场中通电的长条形, 箭头表示电子的输运方向; (b)自旋简并下霍尔电导的奇数霍尔平台. 参数 , ,

Fig. 3. (a) The lowest six Landau levels under spin-orbit coupling; (b) corresponding Hall plateaus of the conductance (blue) and the longitudinal resistance (red). , , , , . (a)自旋轨道耦合作用下最低的6个朗道能级; (b)自旋轨道耦合作用下的霍尔电导(蓝线)和纵向电阻(红线). 参数 , , , ,

Fig. 4. (a) The effect of temperature on Hall plateaus; (b) modulus of the wave functions of a few vectors on the second Landau level. , , . (a)温度对霍尔平台的影响; (b)第二朗道能级上几个波矢 对应的波函数的模(上自旋分量). 参数 , ,