Nonlinear Dynamics of Composite Fermions in Nanostructures

TL;DR

This paper develops a quasi-classical theory for the dynamics of composite fermions in nanostructures within the fractional quantum Hall regime, enabling analysis of their trajectories and explaining experimental magnetoresistance data.

Contribution

It introduces a novel effective Hamiltonian approach for composite fermion dynamics that is independent of their mass and dispersion, verified through experimental comparison.

Findings

Trajectories are independent of fermion mass and dispersion.

The theory explains magnetoresistance measurements in antidot arrays.

Confirms the existence of composite fermions in nanostructures.

Abstract

We outline a theory describing the quasi-classical dynamics of composite fermions in the fractional quantum Hall regime in the potentials of arbitrary nanostructures. By an appropriate parametrization of time we show that their trajectories are independent of their mass and dispersion. This allows to study the dynamics in terms of an effective Hamiltonian although the actual dispersion is as yet unknown. The applicability of the theory is verified in the case of antidot arrays where it explains details of magnetoresistance measurements and thus confirms the existence of these quasiparticles.