Deformed Fermi Surface Theory of Magneto-Acoustic Anomaly in Modulated Quantum Hall Systems Near $ν=1/2$ Hall Systems Near $ν=1/2$

Abstract

We introduce a new generic model of a deformed Composite Fermion-Fermi Surface (CF-FS) for the Fractional Quantum Hall Effect near $ν=1/2$ in the presence of a periodic density modulation. Our model permits us to explain the recent surface acoustic wave observations of anisotropic anomalies[R.L Willett et al,PRL vol78,4478 (1997);J.H.Smet et al, PRL vol 80,4538 (1998)] in sound velocity and attenuation--appearance of peaks and anisotropy-- which originate from contributions to the conductivity tensor due to regions of the CF-FS which are flattened by the applied modulation. The calculated magnetic field and wave vector dependence of the CF conductivity, velocity shift, and attenuation agree with experiments.