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Motivated by the experimental results of Willett et al [Phys.Rev. Lett., {\bf78}, 4478 (1997)] we develop a magneto-transport theory for the response of atwo dimensional electron gas (2DEG) in the Fractional Quantum Hall Regime nearLandau level filling factor $\nu = 1/2$ to the surface acoustic wave (SAW) inthe presence of an added periodic density modulation. We assume there exists aComposite Fermion Fermi Surface (CF-FS) at $\nu = 1/2$, and we show that thedeformation of the (CF-FS) due to the density modulation can be at the originof the observed transport anomalies for the experimental conditions. Ouranalysis is carried out particularly for the non-local case which correspondsto the SAW experiments. We introduce a new model of a deformed CF-FS. The modelpermits us to explain anomalous features of the response of the modulated 2DEGto the SAW near $\nu = 1/2:$ namely the nonlinear wave vector dependence of theelectron conductivity, the appearance of peaks in the SAW velocity shift andattenuation and the anisotropy of the effect, all of which originate fromcontributions to the conductivity tensor due to the regions of the CF-FS whichare flattened by the applied modulation.Comment: 13 pages, 4 figures, the published versio

physical review. b, condensed matter

Theory of magnetoacoustic transport in modulated quantum Hall systems near<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>

Theory of magnetoacoustic transport in modulated quantum Hall systems nearν=1/2