Stripe formation driven by space noncommutativity in quantum Hall systems
arXiv:cond-mat/0504409 · doi:10.1016/j.physleta.2006.01.089
Abstract
We propose that the transport anisotropy observed in half-filled high Landau levels () is caused by the space noncommutativity effect, namely the Heisenberg uncertainty relation between the spatial coordinates of electrons. The stripe corresponds to a limit that one coordinate of a large number of particles is fixed at a certain value while its conjugate coordinate is completely uncertain. We make a renormalization group analysis and find that the noncommutativity effect is able to drive the stripe formation only at half-fillings etc., in agreement with experiments.
4 pages, no figures