Quantum Hall quasielectrons - Abelian and non-Abelian
arXiv:0810.0636 · doi:10.1103/PhysRevLett.102.166805
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 both in Abelian and non-Abelian QH 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.
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Cited by in corpus (28)
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- Unpaired composite fermion, topological exciton, and zero mode
- Quasiparticles and excitons for the Pfaffian quantum Hall state
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- Tripartite Composite Fermion States
- Condensing non-Abelian quasiparticles
- Composite Fermions on a Torus
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- Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models
- Matrix product state representation of quasielectron wave functions
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- Hierarchical Nature of the Quantum Hall Effects
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- Conformal field theory construction for nonabelian hierarchy wave functions
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- Exactly Solvable Hamiltonian for Non-Abelian Quasiparticles
- Laughlin's quasielectron as a non-local composite fermion
- Non-Abelian phases from the condensation of Abelian anyons