Composite fermions in the fractional quantum hall effect: Transport at finite wave vector

We consider the conductivity tensor for composite fermions in a close to half-filled Landau band in the temperature regime where scattering off the potential and the trapped gauge field of random impurities dominates. The Boltzmann equation approach is employed to calculate quasiclassical transport properties at finite effective magnetic field, wave vector, 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.