Composite fermions in the Fractional Quantum Hall Effect: Transport at finite wavevector

TL;DR

This paper develops a comprehensive theoretical framework for understanding the transport properties of composite fermions in the fractional quantum Hall regime, explaining experimental surface acoustic wave resonances at finite wavevector.

Contribution

It provides an exact solution to the kinetic equation for composite fermions, enabling a detailed description of their transport at finite wavevector and magnetic field.

Findings

Exact solution of the kinetic equation for composite fermions.

Consistent explanation of surface acoustic wave resonances.

Characterization of transport properties in the fractional quantum Hall regime.

Abstract

We consider the conductivity tensor for composite fermions in a close to half-filled Landau band in the temperature regime where the scattering off the potential and the trapped gauge field of random impurities dominates. The Boltzmann equation approach is employed to calculate the quasiclassical transport properties at finite effective magnetic field, wavevector and frequency. We present an exact solution of the kinetic equation for all parameter regimes. Our results allow a consistent description of recently observed surface acoustic wave resonances and other findings.