Abstract
We propose that the transport anisotropy observed in half-filled high Landau levels ( N ⩾ 2 ) is caused by the space noncommutativity effect, namely the Heisenberg uncertainty relation between the spatial coordinates of electrons. We make a renormalization group analysis and find that the noncommutativity effect is able to drive the stripe formation only at half-fillings ν = 9 / 2 , 11 / 2 , 13 / 2 , etc., in agreement with experiments.
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