Stripe formation driven by space noncommutativity in quantum Hall systems

We propose that the transport anisotropy observed in half-filled high Landau levels (N⩾2N⩾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=9/2,11/2,13/2ν=9/2,11/2,13/2, etc., in agreement with experiments.