Conformal field theory approach to Abelian and non-Abelian quantum Hall quasielectrons

Phys Rev Lett. 2009 Apr 24;102(16):166805. doi: 10.1103/PhysRevLett.102.166805. Epub 2009 Apr 23.

Abstract

The quasiparticles in quantum Hall liquids carry fractional charge and obey fractional quantum statistics. Of particular recent interest are those with non-Abelian statistics, since their braiding properties could, in principle, be used for robust coding of quantum information. There is already a good theoretical understanding of quasiholes in both Abelian and non-Abelian quantum Hall states. Here we develop conformal field theory methods that allow for an equally precise description of quasielectrons and explicitly construct two- and four-quasielectron excitations of the non-Abelian Moore-Read state.