电场对导向中心坐标跳跃和磁输运的影响
Electric Field Influenced Coordinate Jump of the Guiding Center and Magnetotransport
摘要：
导出了在强面外磁场和面内电场存在下二维无序系统中的电流公式。该电流源自引导中心坐标跳跃。在强磁场状态下，电流可以被描绘为中心坐标的迁移。在电子杂质散射过程中，导引中心的坐标突然发生移动。由于电场，坐标偏移累积地贡献于纵向电流。在散射过程中，回旋半径的值发生变化，从而补偿了坐标跳跃过程中电势能量的变化。回旋半径的偏转是朗道能级随电场展宽和移动的经典表现。
英文摘要：
We derived an electrical current formula in the presence of a strong out of plane magnetic field and an in plane electric field, and within two dimensional disordered systems. This current is originated from the guiding center coordinate jump. At a strong magnetic field regime, the current can be pictured as the migration of the center coordinates. During the electron impurity scattering, the guiding centers suddenly shift their coordinates. Because of the electric field, the coordinate shift accumulatively contributes to a longitudinal current. During the scattering, the value of cyclotron radius changes, which compensates for the change of the electric potential energy during the coordinate jump. The diversion of cyclotron radius is the classical manifestation of electric field dependent broadening and shifting of the Landau levels.
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