Nature of excitations of the 5/2 fractional quantum Hall effect

TL;DR

This study uses exact diagonalization to analyze the excitations in the 5/2 fractional quantum Hall effect, revealing limitations of the Pfaffian model and discussing implications for non-Abelian statistics.

Contribution

It demonstrates that the Pfaffian model does not accurately describe quasiholes and quasiparticles in the 5/2 FQHE, challenging previous assumptions.

Findings

Pfaffian model is inadequate for 5/2 FQHE excitations

Exact diagonalization shows discrepancies with the model

Implications for non-Abelian statistics are discussed

Abstract

It is shown, with the help of exact diagonalization studies on systems with up to sixteen electrons, in the presence of up to two delta function impurities, that the Pfaffian model is inadequate for the actual quasiholes and quasiparticles of the 5/2 fractional quantum Hall effect. Implications for non-Abelian statistics are discussed.