Collective States of Non-Abelian Quasiparticles in a Magnetic Field
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CitationLevin, Michael and Bertrand I. Halperin. 2009. Collective states of non-Abelian quasiparticles in a magnetic field. Physical Review B 79(20): 205301.
AbstractMotivated by the physics of the Moore-Read nu=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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:3110941
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