Model fractional quantum hall states and jack polynomials

Research output: Contribution to journalArticlepeer-review

213 Scopus citations

Abstract

We describe an occupation-number-like picture of fractional quantum Hall states in terms of polynomial wave functions characterized by a dominant occupation-number configuration. The bosonic variants of single-component Abelian and non-Abelian fractional quantum Hall states are modeled by Jack symmetric polynomials (Jacks), characterized by dominant occupation-number configurations satisfying a generalized Pauli principle. In a series of well-known quantum Hall states, including the Laughlin, Read-Moore, and Read-Rezayi, the Jack polynomials naturally implement a "squeezing rule" that constrains allowed configurations to be restricted to those obtained by squeezing the dominant configuration. The Jacks presented in this Letter describe new trial uniform states, but it is yet to be determined to which actual experimental fractional quantum Hall effect states they apply.

Original languageEnglish (US)
Article number246802
JournalPhysical review letters
Volume100
Issue number24
DOIs
StatePublished - Jun 19 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Model fractional quantum hall states and jack polynomials'. Together they form a unique fingerprint.

Cite this