Frequency-dependent magnetotransport and particle dynamics in magnetic modulation systems

TL;DR

This paper investigates how spatially-modulated magnetic fields influence charged particle dynamics and magnetotransport, revealing the dependence of orbit types on system parameters and their impact on conductivity.

Contribution

It provides a comprehensive analysis of particle trajectories and magnetoconductivity in magnetic modulation systems, highlighting the role of orbit topology and dynamics.

Findings

Fraction of pinned vs. chaotic orbits depends on system parameters.

Frequency response reflects orbit topology and temporal behavior.

DC conductivity is strongly influenced by orbit types.

Abstract

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.