P. Schmelcher et Dl. Shepelyansky, CHAOTIC AND BALLISTIC DYNAMICS FOR 2-DIMENSIONAL ELECTRONS IN PERIODIC MAGNETIC-FIELDS, Physical review. B, Condensed matter, 49(11), 1994, pp. 7418-7423
We investigate the classical properties of electrons moving in a super
position of a uniform and periodically oscillating magnetic field. The
most interesting dynamics occurs in the case where the uniform, and p
eriodic fields are of comparable order of magnitude and the periodic c
omponent originates from a planar arrangement of spins. For small ener
gies almost the complete phase space is regular. With increasing energ
y the fraction of irregular orbits increases and eventually the phase
space becomes completely chaotic. For higher energies we observe the a
ppearance of a ballistic mode which allows the electrons to travel wit
h high velocity through the magnetized spin lattice. This regular ball
istic mode might be of relevance for transport processes in solid-stat
e physics.