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

Jansen, S.; Lieb, E. H.; Seiler, R.

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

Authors

Jansen, S.

Lieb, E. H.

Seiler, R.

Description

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.
11 pages, 2 figures