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arXiv · 0802.2208

Laughlin's function on a cylinder: plasma analogy and representation as a quantum polymer

S. Jansen·E. H. Lieb·R. Seiler
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Abstract

We investigate Laughlin's fractional quantum Hall effect wave function in the cylinder geometry of Laughlin's integer quantum Hall effect argument, at filling factor 1/3. We show that the plasma analogy leads to a periodic density, and that the wave function admits a representation as a ``quantum polymer'', reminiscent of the quantum dimer model by Rokhsar and Kivelson. We explain how the representation can be exploited to compute the normalization and one-particle density in the limit of infinitely many particles.

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S. Jansen, E. H. Lieb, R. Seiler. 2008-02-15. Laughlin's function on a cylinder: plasma analogy and representation as a quantum polymer. https://doi.org/10.1002/pssb.200743516

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