T. Christen, THE VELOCITY OF CURRENT FILAMENTS IN WEAK MAGNETIC-FIELDS, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 49(9), 1994, pp. 847-850
In the presence of a perpendicular weak magnetic field, current filame
nts in semiconductors can obtain a transverse drift. In the framework
of a collective-coordinate ansatz, an expression for the velocity of t
he filament is derived for a simple type of extrinsic semiconductors.
It turns out that the motion is caused by the coupling of the non-unif
orm Hall angle to the translational Goldstone mode of the current fila
ment.