Stripe formation driven by space noncommutativity in quantum Hall systems

Details Stripe formation driven by space noncommutativity in quantum Hall systems Stripe formation driven by space noncommutativity in quantum Hall systems

2005-04-17

arxiv.org/abs/cond-mat/0504409v1

Phys. Lett. A 354, 482 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, no figures

Scientific paper

10.1016/j.physleta.2006.01.089

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

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