Collective States of Non-Abelian Quasiparticles in a Magnetic Field

DSpace/Manakin Repository

Collective States of Non-Abelian Quasiparticles in a Magnetic Field

Citable link to this page

. . . . . .

Title: Collective States of Non-Abelian Quasiparticles in a Magnetic Field
Author: Levin, Michael; Halperin, Bertrand

Note: Order does not necessarily reflect citation order of authors.

Citation: Levin, Michael and Bertrand I. Halperin. 2009. Collective states of non-Abelian quasiparticles in a magnetic field. Physical Review B 79(20): 205301.
Full Text & Related Files:
Abstract: Motivated 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.
Published Version: http://dx.doi.org/10.1103/PhysRevB.79.205301
Other Sources: http://arxiv.org/abs/0812.0381v1
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:3110941

Show full Dublin Core record

This item appears in the following Collection(s)

  • FAS Scholarly Articles [7594]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

Search DASH


Advanced Search
 
 

Submitters