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

Sabine Jansen; Elliott H. Lieb; Ruedi Seiler

doi:10.1002/pssb.200743516

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

Sabine Jansen, Elliott H. Lieb, Ruedi Seiler

Mathematics

Research output: Contribution to journal › Review article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	439-446
Number of pages	8
Journal	Physica Status Solidi (B) Basic Research
Volume	245
Issue number	2
DOIs	https://doi.org/10.1002/pssb.200743516
State	Published - Feb 2008

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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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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AU - Seiler, Ruedi

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N2 - 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.

AB - 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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