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In a previous paper we suggested that a macroscopic force field appliedacross a two-dimensional electron gas channel could induce a microscopic chargedensity wave as soon as the proper compressibility becomes negative, whichhappens at densities much higher than the critical density for the Wignercrystal transition. The suggestion was based on a calculation of the groundstate energy in the local density approximation. In this paper we refine ourcalculation of the energy by including a self-consistent gradient correction tothe kinetic energy. Due to the increased energy cost of rapid densityvariations, we find a much lower critical density for the onset of the chargedensity wave. This critical density coincides with the result of a linearstability analysis of the uniform ground state in the absence of the electricfield.

Electrically induced charge-density waves in a two-dimensional electron channel: Beyond the Local Density Approximation