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We examine theoretically the effects caused by a periodic external potentialon the correlated motion of a two-dimensional electron system under strongmagnetic fields corresponding to a filling factor 1/2. To describe theresulting complex dynamics, we adopt a composite fermion approach and wedetermine in a two loop approximation the density-response function$K_{00}(\bfq,\omega)$ and the compressibility. We show explicitly that thelong-wavelength limit of $K_{00}(\bfq,\omega)$ exhibits substantial anisotropicbehavior induced by the modulation, and that the system tends to beincompressible in a direction orthogonal to the modulation as opposed to itsresponse along the modulation.Comment: 8 pages and 1 figur

Periodic density modulation effects on a correlated two-dimensional composite fermion system