Transport in two dimensional periodic magnetic fields

Details Transport in two dimensional periodic magnetic fields Transport in two dimensional periodic magnetic fields

1998-09-17

arxiv.org/abs/cond-mat/9809226v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 7 figures, to appear in J. Phys. Soc. Jpn., vol. 67 (1998) November

Scientific paper

10.1143/JPSJ.67.3886

Ballistic transport properties in a two dimensional electron gas are studied numerically, where magnetic fields are perpendicular to the plane of two dimensional electron systemsand periodically modulated both in $x$ and $y$ directions. We show that there are three types of trajectories of classical electron motions in this system; chaotic, pinned and runaway trajectories. It is found that the runaway trajectories can explain the peaks of magnetoresistance as a function of external magnetic fields, which is believed to be related to the commensurability effect between the classical cyclotron diameter and the period of magnetic modulation. The similarity with and difference from the results in the antidot lattice are discussed.

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