Frequency-dependent magnetotransport and particle dynamics in magnetic modulation systems

Details Frequency-dependent magnetotransport and particle dynamics in magnetic modulation systems Frequency-dependent magnetotransport and particle dynamics in magnetic modulation systems

1998-09-16

arxiv.org/abs/cond-mat/9809216v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Submitted to PRB - 14 figure files - REVTEX text

Scientific paper

10.1103/PhysRevB.59.2824

We analyze the dynamics of a charged particle moving in the presence of spatially-modulated magnetic fields. From Poincare surfaces of section and Liapunov exponents for characteristic trajectories we find that the fraction of pinned and runaway quasiperiodic orbits {\em vs}. chaotic orbits depends strongly on the ratio of cyclotron radius to the structure parameters, as well as on the amplitude of the modulated field. We present a complete characterization of the dynamical behavior of such structures, and investigate the contribution to the magnetoconductivity from all different orbits using a classical Kubo formula. Although the DC conductivity of the system depends strongly on the pinned and runaway trajectories, the frequency response reflects the topology of all different orbits, and even their unusual temporal behavior.

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