Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-02-15
phys. stat. sol. (b) 245, 439 - 446 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 2 figures
Scientific paper
10.1002/pssb.200743516
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.
Jansen Sabine
Lieb Elliott H.
Seiler Rene
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