Symmetry breaking in Laughlin’s state on a cylinder
نویسندگان
چکیده
We investigate Laughlin’s fractional quantum Hall effect wave function on a cylinder. We show that it displays translational symmetry breaking in the axial direction for sufficiently thin cylinders. At filling factor 1/p, the period is p times the period of the filled lowest Landau level. The proof uses a connection with one-dimensional polymer systems and discrete renewal equations.
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تاریخ انتشار 2008