Collective states of non-Abelian quasiparticles in a magnetic field

Michael Levin, Bertrand I. Halperin

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14 Scopus citations

Abstract

Motivated by the physics of the Moore-Read ν=1/2 state away from half filling, we investigate collective states of non-Abelian e/4 quasiparticles in a magnetic field. We consider two types of collective states: incompressible liquids and Wigner crystals. In the incompressible liquid case, we construct a natural series of states which can be thought of as a non-Abelian generalization of the Laughlin states. These states are associated with a series of hierarchical states derived from the Moore-Read state-the simplest of which occur at filling fraction 8/17 and 7/13. Interestingly, we find that the hierarchical states are Abelian even though their parent state is non-Abelian. In the Wigner crystal case, we construct two candidate states. We find that they, too, are Abelian-in agreement with previous analysis.

Original languageEnglish
Article number205301
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume79
Issue number20
DOIs
StatePublished - 1 May 2009
Externally publishedYes

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