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Stripe formation driven by space noncommutativity in quantum Hall systems

Guo-Zhu Liu·Sen Hu
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Abstract

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 $ν= 9/2, 11/2, 13/2,$ etc., in agreement with experiments.

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Guo-Zhu Liu, Sen Hu. 2005-04-17. Stripe formation driven by space noncommutativity in quantum Hall systems. https://doi.org/10.1016/j.physleta.2006.01.089

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