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

Sabine Jansen, Elliott H. Lieb, Ruedi Seiler

Research output: Contribution to journalReview article

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 languageEnglish (US)
Pages (from-to)439-446
Number of pages8
JournalPhysica Status Solidi (B) Basic Research
Volume245
Issue number2
DOIs
StatePublished - Feb 2008

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Laughlin's function on a cylinder: Plasma analogy and representation as a quantum polymer'. Together they form a unique fingerprint.

  • Cite this