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

2008/01/16 by Sabine Jansen, S. Jansen, Élliott H. Lieb +2 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1002/pssb.200743516

published as phys. stat. sol. (b) 245, 439 - 446 (2008) · 11 pages, 2 figures

openalex publication_date 2008/01/16 · arxiv created 2008/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Citations

• Theory of the quantized hall effect

Cited by

• Symmetry Breaking in Laughlin’s State on a Cylinder
• Emergent Kinetics and Fractionalized Charge in 1D Spin-Orbit Coupled Flatband Optical Lattices

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