Nonlinear dynamics of composite fermions in nanostructures
Institut für Theoretische Physik und
SFB Nichtlineare Dynamik,
Universität Frankfurt, D-60054 Frankfurt/Main, Germany
Accepted: 12 September 1996
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.
PACS: 05.45.+b – Theory and models of chaotic systems / 73.40.Hm – Quantum Hall effect (including fractional) / 73.50.Jt – Galvanomagnetic and other magnetotransport effects (including thermomagnetic effects)
© EDP Sciences, 1996