Numerical studies of the Pfaffian model of the ν = frac(5, 2) fractional quantum Hall effect

Csaba Toke, Nicolas Regnault, Jainendra K. Jain

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The Pfaffian model has been proposed for the fractional quantum Hall effect (FQHE) at ν = frac(5, 2). We examine it for the quasihole excitations by comparison with exact diagonalization results. Specifically, we consider the structure of the low-energy spectrum, accuracy of the microscopic wave functions, particle-hole symmetry, splitting of the degeneracies and off-diagonal long-range order. We also review how the 5/2 FQHE can be understood without appealing to the Pfaffian model. Implications for nonabelian braiding statistics will be mentioned.

Original languageEnglish (US)
Pages (from-to)504-511
Number of pages8
JournalSolid State Communications
Volume144
Issue number12
DOIs
StatePublished - Dec 2007

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Condensed Matter Physics
  • Materials Chemistry

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